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Metamaterials - Science topic

Metamaterials are artificial materials engineered to have properties that may not be found in nature.
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Greetings, is there any criteria for distincting miniaturized metamaterial with ultra-miniaturized metamaterial. Healthy discussion, if possible with appropriate reference for the same is awaited.
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@paul kinsler, I am talking about EM spectrum in sub 6 GHz range.
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I am working on terahertz metamaterials in many reserach paper, a multipole decomposition plots are provided and i don't know how to plot them in CST microwave studio. Mostly researchers shows this analysis for toroidal exciatation in metamatrials. can any one please explain.
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Dear Lavi Kumar Vaswani,
Do you know how to plot in the CST software? Could you please share the way?
Thank you so much
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I have designed a metamaterial which can function as filter in THz band. So, I am trying to design its equvalent circuit model for this. I have tried but can't get the desire results. Can anybody guide me about this?
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I guess at first one has to take out transport or 'pure' delay which produces frequency pendant phase shift with no amplitude change. Then, the remaining transfer function can be parameterized some way e.g. https://www.semanticscholar.org/paper/A-State-Space-Approach-to-RLCT-Two-Port-Synthesis-Fowler-Yarlagadda/7bead276dfd5110d05d7d0df997ea8baa9c3e59c
Note that the model will be frequency dependent and likely have to be multi-port to account for higher order diffraction.
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What are acoustic metamaterials?
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Alternatively: a metamaterial is a compound material, and is usually designed to provide specific properties needed in cases when a suitable natural material is unavailable. Acoustic metamaterials are those designed to provide acoustic properties; is is useful to compare these with electromagnetic metamaterials which provide electromagnetic properties.
One common way of constructing metamaterials is to embed an array of one type of material inside another: e.g. perhaps an array of hard spheres (or voids) inside an elastic background material.
The properties designed for are dynamic ones (i.e. regarding a controlled response to vibration), and are typically specified in terms of the dispersive response of the material; although creating bandgaps or frequency dependent absorption are also important.
Further, by designing a s structure with specific and different metamaterial properties at different points, you can use those properties to control wave propagation within the whole structure, creating devices such as waveguides, illusion generators, or cloaks.
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Dear All,
I am trying to define the dispersion curves of a periodic unit cell in COMSOL Multiphysics with prescribed displacements. I am using two separate studies:
- Study 1: Stationary, with prescribed displacements on the four edges of the unit cell.
- Study 2: Eigenfrequency.
I intend to use the results of Study 1 as initial conditions for Study 2.
I also conducted a different eigenfrequency study of the same unit cell, and the dispersion curves from Study 2 and this separate study are similar. This suggests that the results from Study 1 may not have been used as initial conditions for Study 2.
Could I be missing any setup errors?
Thank you in advance
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Thanks a lot, Binh!
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Hello connections, how can we insert the pin diodes in metamaterial surface in CST. The sample of the figure is attached.
your valuable suggestion would be appreciated.
Thanks.
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Hello,
In CST, for the given structure, PIN diode can be used as:
1)Select two points, as in metamaterials select point on the gap between SRR or any MTM structure.
2)Go to lumped port and give the values of inductance, capacitance and resistance as per requirement of on and off conditions.
Thanks,
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I’m using a Floquet port (only 'Zmax') in CST Studio to analyze an Intelligent Reflecting Surface (IRS/RIS). Are there better options for ports, or has anyone tried using other ports like waveguide, lumped, or discrete ports for similar analyses?
Thanks for your consideration.
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I am currently working on the design of an Intelligent Reflecting Surface (IRS/RIS/ metasurface) using CST Studio. I’ve encountered an issue where the S-parameters(S11) show a sudden change at my resonance frequency of 3.5 GHz. This behavior contrasts with what is often reported in IEEE papers, which typically show a smooth transition from 180 to -180 degrees.
My question is if this sudden change is expected or if it indicates a problem with my design or simulation setup ?
Additionally,Are there any process to bias the IRS in cst studio?
I have attached a graph showing the S-parameters for reference.
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Yes... it is as the colleague above tells you. Just right-click on the graph and select unwrap to undo that jump.
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Let's say we have a standard, regular hexagonal honeycomb with a 3-arm primitive unit cell (something like the figure attached; the figure is only representative and not drawn to scale). The bottommost node is taken as the source of wave input and the ends of the left and right arms are taken as destinations such that Bloch's condition can be applied as qleft = eik1 qbottom and qright = eik2 qbottom. I wish to learn how would an iso-frequency contour plot be plotted post performing the dispersion analysis. Thanks in advance.
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Düzgün altıgende kenarlar eş ve oluşan eşkenar üçgenler aynı olduğu için heryerde simetriktir. Bu yüzden oluşan grafik düzgün doğrusal olur.
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I'm simulating a metamaterial unit cell. I want to plot Frequency Vs Phase Response.
Also I want to extract permeability and permittivity. Kindly share the steps.
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These files may help. I think there is also an example in the CST example library.
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And if the purpose of use is achieved, what do we benefit from it?
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Dalga kılavuzunun oluşması için gerekli ortamı sağlar. Hız, dalga boyu, kırıcılık indisi vb.
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What is the simplest mathematical model of a mechanical metamaterial that contains rigidity and an external vibration disturbance?
In my mind, there are mechanical oscillatory systems with concentrated parameters. These oscillatory systems are design schemes (may be quite crude, but that's another question) for technical objects whose properties can be represented by a spring, mass, or damper. If an external harmonic effect is applied to the system, then the linear oscillatory system may be in a state of resonance or a mode of dynamic vibration damping. In principle, the concepts of negative rigidity, etc. can be considered within the framework of structural methods. Recently, they have begun to consider metamaterials, the elementary cell of which has some structure similar to some conventional mechanism. The question is, can these mechanisms be modeled using linear oscillatory systems, just as mechanical oscillatory systems are modeled? Are there any such materials? And what does a closed mathematical model of the simplest metamaterial look like?
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Karmaşık ve doğrusal meta malzeme elde edilebilir. Bu onun üretim şekline, değişken türüne ve sahip olduğu parametrelere bağlıdır. Parametrelerin bir kısmı kendi aralarında doğrusal, bir kısmı ise doğrusal olmayan olabilir.
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I have already simulated the design and of course I get absorption rate as 99.91%. how can i calculate the impedance vs frequency for absorber in cst?
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Hi,
Did you engineer find out how to find the normalized impedance?
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What I have found is for any metamaterial absorber, if the effective permittivity is negative at the resonant frequency, then the resonance is plasmonic, and if the effective permeability is negative at the resonant frequency, then the resonance is of the magnetic type. What are the reasons behind this? Again, from the current distribution, it can be decided that the structure shows either electric dipole or magnetic dipole resonance. What is the relationship between these types of resonances in a metamaterial absorber?
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Dört durum için elektrik alanı ve manyetik alanın yük akışı ve metamalzeme için etki alanına bağlı olur.
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Greetings, what literally governs the metamaterial to render epsilon negative or mu negative phenomena. Is there any theory behind finding the same by looking at the structural design of metamaterial unit element without implementing the same in terms of simulations?????????????
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The fundamental principles of metamaterials are rooted in effective medium theory; effective constitutive parameters of these structures are largely dependent on the individual properties of the unit cells or meta-atoms. There are different homogenization techniques to analytically retrieve effective permittivities and permeabilities of certain metamaterial structures, such as wire media and split ring resonators:
Some of these models are based on the analogies between electric (or effective magnetic) current densities in the meta-atoms and free-electrons in a cold plasma, which yield Drude-like dispersion formulas. For analytical modeling of metamaterial structures, you may want to check the following books:
  • Analytical Modeling in Applied Electromagnetics by Sergei Tretyakov
  • Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications by Christophe Caloz and Tatsuo Itoh
Nevertheless, for metamaterials with more complex unit cells, numerical or experimental retrieval of effective parameters would be necessary.
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I've observed that meta-lenses, which are constructed using nanostructures, exhibit different appearances at times.
Specifically, in Article 1, the meta-lens appears transparent as seen in the graphical abstract of
Conversely, in Article 2, the meta-lens appears white, as depicted in the graphical abstract of
I've observed similar images in other studies as well, not just the examples mentioned above. I'm curious about the reasons behind this variability in appearance. Why do metalenses sometimes appear white instead of transparent?
Furthermore, I'm interested in whether there are any methods to make metalenses appear more like conventional lenses in their appearance.
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Metalenses are made of transparent material just like any lens. What you see when you look at a lens is either a defocused version of what’s on the other side of the lens OR a distorted reflection of what is on the same side of the lens. All transparent materials have some reflection at each surface as described by the Fresnel coefficients. Layers of dielectric coating can reduce the reflection, but it is never zero. If the lens is uncoated (as metalenses often are) the reflection can be quite bright, particularly if you are at just the right angle to a light source. What you see depends on which is brighter: whats behind the lens or what’s in front. Often when making a photograph you shine bright lights on the subject.
Metalenses are also structured to work best at a particular wavelength of light. The effect of the metalens is determined by the size of the structures relative to the wavelength of light. If you make a metalens for IR, the size of the structures is wrong for visible light. In that case the overly large structures act more like scatterers and so the lens looks white.
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how to design a zero index metamaterial. what are the initial dimensions of a unit cell? or which dimension or parameter of the unit cell can be changed to obtain a zero index metamaterial.
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Metamalzemenin birim hücresnin sıfır geçirgenliği yine kendisi aynı özelliğe sahip geçirgenlik ve kırıcılık indisi ile giderilebilir. (Diğer tüm şartlar aynı olmak koşuluyla)
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Greetings, come across art literatures on broadband metamaterial absorbers (BMAs). BMAs despite its simple structure they render absorption of em waves for broad range of frequencies. My query is, what literally govern the broadband phenomena of these simple structured metamaterial absorbers. Does material of choice used for carrying out the design has any role to be played on enhancing the bandwidth of these BMAs.
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Hi, in addition to selected materials, metamaterial geometry is also effective in increasing the broadband of metamaterial absorbers.
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There is usually airgap between a radiating element and metasurface and I want to calculate the phase delay analytically. Like what is the reflecting phase from the meta? What is the phase delay from the metasurface to the antenna?
Thanks in advance.
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Hello,
A few papers are attached for help.
Thanks,
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Hi
As anybody knows, in bianisotropic metamaterials, the magnetoelectric coupling coefficient will be introduced in these relations:
D=\eps*E+\zeta*H
B=-\zeta*E+\mu*H
where the \zeta is the magnetoelectric coupling coefficient.
The question is how to extract such a coefficient in HFSS. ( That coefficient is not in the field calculator)
I appreciate any response.
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I'm very appreciate your answer,but my problem is the extraction of magneto-electric coupling coefficient in a bianisotropic metamaterial cell.
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I have been trying to reproduce the results of some metamaterial absorber papers using CST Studio 2022. The S parameter results have been successfully reproduced. When I add the E-Field monitor, H-Field monitor, and Surface current monitor at the resonant frequency and run the simulation, the E field and H field results appear, but the Surface current monitor shows nothing. What are the possible reasons for this? How can this problem be solved?
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Mohamed Ahmed Maher , I reinstalled the CST software, used the waveguide port instead of the floquet port, increased the number of meshes, and tried other solvers. I also tried other upgraded versions of CST. But nothing changes; it still appears the same.
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How to find the relative density of the 3D printed cellular structures like honeycomb, double arrowhead?
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Nekin Joshua, The relative density of honeycomb structures is typically estimated by dividing the area of the cell walls by the total area of a unit cell. This is illustrated in the research on the effect of honeycomb relative density on its in-plane properties, where the relative density is calculated based on the overlap areas of the cell walls within the honeycomb structure.
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Greetings, is it correct to say a polarization insensitive metamaterial (which was named so because of its symmetric structure) as circular polarized metamaterial too. Since it encapsulates circular polarization feature in it because of its polarization insensitive nature.
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If a Metamaterial has circular polarization features this already means that it is sensitive to polarization of light. For example it transmits only right-handed circular polarization and blocks a left handed one.
Polarization insensitive metamaterial in opposite has a property to interact with any polarization state in the same way.
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Hello all,
I'm currently researching metalenses and facing an intriguing challenge.
In my simulations using Lumerical FDTD, based on methods from DOI: 10.1038/ncomms8069, I'm trying to calculate the focus efficiency of metalenses. My process involves placing an aperture at the incident with PML boundaries and measuring the total intensity at the focal point. Initially, I conducted this with only the glass substrate, then repeated with both glass and nanopillars, measuring over an area about three times the FWHM at the focal point.
Here's where it gets puzzling: The intensity with just the glass substrate is consistently lower than with both glass and nanopillars. Interestingly, I also tried the process without any glass substrate at the incident, yet the focal point intensity remained significantly higher than expected.
Could you offer any insights or thoughts on why this might be happening? Your advice or any pointers towards relevant resources would be invaluable.
Thank you for your time and consideration.
Best regards,
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Thank you so much for your input; you're absolutely right! Your insights have led me to reconsider the integration of Poynting vectors in my simulation.
Also, I used to set up the mesh as non-uniform, which I now believe was the main source of the problem. I've since switched to using a uniform mesh type.
Your advice has been incredibly valuable in guiding my work. Thanks again for your help!
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while observing the characteristics of zero-index metamaterial like permittivity, permeability, and refractive index, which part of them should be analyzed, the real part, the imaginary part, or both?
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Metamalzemeler, disiplinlerarası nanoteknoloji ve atomaltı, nanopartiküller teknoloji alanındaki makalelerden yararlanabilirsiniz.
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I have been trying to find the phase difference to test whether polarization is converted or not in a metamaterial polarization converter. But I am not sure how to do that.
In the below paper, how did the authors got the graph in Figure-3.
We are using floquet port. We used one method where we go to "floquet boundaries' and then tick the box "polarization independent of scan angle phi" and put +45 once and then -45. we then took the S11 of the two simulations (+45 and -45) and then subtracted the phase of these two.
P.S.- I have attached some screenshots of the changes we did to the floquet boundaries. The last image is the phase difference I got following this method. It matches the figure slightly, but I am confused whether my method is correct or not.
Any help is appreciated.
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-45 ve +45 derecede oluşturulan faz farkı 90 derecelik faz farkına eşit olur. Aynı şekilde +90 derecelik faz farkına karşılık - 90 derecelik farkına sahip olur. Aynı durum - 90 derece için geçerli. - - 90 ve +90 derecelik faz farkı +180 ve - 180 derecelik faz oluşturur. Grafik simetrik ve iki tarafı eşittir. Bunun için yapılan işlem doğrudur.
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Hello,
I was trying to simulate the given picture's FSS structure in CST. I have drawn the structure, but I am struggling on how to make the port connection for this structure in CST. I have seen many tutorials but all of them contained only one metamaterial. Can anyone tell me how to give port connection on an array of metamaterial, so that I can find the figure shown in the picture?
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You can use an infinite plane wave excitation from any direction you choose, which may be what you want. You can have far-field results.
If it has a ground plane and you are looking at propagation across the array then you can use a waveguide port full width along one of the edges, from the ground to several board thicknesses above the top of the board. You can choose which or how many modes to use.
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I understand the physical mechanism of either negative mass or negative bulk modulus of acoustic metamaterial, but paper seems to use analogous electromagnetic model or just equations to demonstrate that "negative refraction needs both negative mass and negative modulus".
However, I am confused about the physical mechanism behind it. Is there any paper or book illustrating this? Thank you.
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The physical mechanisms can vary, but they are always dynamic mechanisms. That is, the materials indeed act as if they have negative properties, but *only* if driven by an oscillating field or force in some frequency range appropriate to that particular metamaterial.
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I want to design a reconfigurable transmit array using varactor diode with metamaterial unit cell. I have gone through many literatures but in most of literature only different design and multiplayers are mentioned to achieve maximum transmission and 360 deg phase tuning. But i am not able to achieve both the things like high transmission and 360deg phase tuning. Could anyone suggest some resources to understand mathematics behind this?
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If you use frequncy multiplication post phase shifter, you phase shift will be multiplied as well. Also shift is generally easier to implement at lower frequncy.
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my project title is Enhancement of DGS based UWB Antenna using Multilayer Metamaterial. I've done designing my UWB antenna and got the specification that i need. Metamaterial that i should design suppose to help increase the gain. Other than that, the metamaterial design should act a reflector to the antenna. So that it will help to increase the gain. But, i still stuck to design the metamaterial as the design i made still can't increase the gain of the antenna. Figure below shown how my antenna looks like and a few design that I've been tried before. If anyone know to solve this problem or tell which design could increase the value of the gain, it will be much helpful. Thank you.
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Greetings, my suggestion would be to follow prof. Ganesh madhan's publications for the same,
where professor would have discussed about how the unit element with nill phase variation at the band of resonance aids with degradation of back lobe radiation.
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my project title is Enhancement of DGS based UWB Antenna using Multilayer Metamaterial. I've done designing my uwb antenna and got the specification that i need. But, i still stuck to design the multilayer metamaterial as shown in figure provided. If anyone know to solve this problem or help to teach on how to design, it will be much helpful. Thank you.
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In COMSOL:
10.1088/1361-6463/aceb6f
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how to decide the orientation of metamaterial in an antenna. for example, if the wave is propagating along the x-axis in an antenna what should be the boundary condition while designing an antenna. should I use floquent boundaries or open boundary conditions.
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I want to use metamaterial like as the image attached.
I am confused about how to apply boundary conditions in CST while designing a unit cell. Is it (unit cell along the x and Y axis and open add space along the z-axis) or is it ( magnetic field (Ht=0) along z-axis, electric field (Et=0) along y-axis and open along x-axis) in this case open boundary is the only option not the floquent mode.
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I might have in my design on CST some overlaps but I couldn't find where it is , so is there any way to know exactly where is it? my design waveguide and metamaterial
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An example of achieving negative effective mass density is membrane-type acoustic metamaterials, which exhibit a negative mass density below the cutoff frequency.
We plot it using the formula given. (theoretically)
But now I am facing a problem regarding the negative effective bulk modulus.
Is the Helmholtz resonator capable of showing a negative bulk modulus?
If so, then whether the Helmholtz resonator is an acoustic metamaterial or not
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Alexey M. Lomonosov Thank you sir.
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Hi There,
in order to increase antenna gain, meta-material lens is getting popular these days.
I wonder, if we consider size and possible gain of the antenna (limited to size -see the formula in attachment)
- then for a fix size is it possible to increase antenna gain using meta-material lens?
when we apply meta-material lens the overall size of the antenna increase. will it be possible to develop antenna (without meta lens) of bigger size to get similar gain as with using antenna with meta lens?
kindly scholars having experience with meta-material antenna help to get some insight into the size vs gain of antenna using meta-material.
Thanks
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In short the answer is no. For a given aperture size you are stuck with the diffraction limit. (the lambda / pi D term). A metamaterial lens may make it practical to use a larger aperture than would be possible with standard optics. (Cheaper, simpler, fewer components) and you can win that way. However, at the same aperture diameter the diffraction limit is the same. There are tricks for getting beyond the diffraction limit such as MIMO and a metamaterial lens might make doing those tricks more convenient or practical, but there is nothing fundamentally different. Anything you can do with one you can, in principle, do with the other.
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Please see the attachment. From the equation, it is clear that for very low frequencies, there will be some regions where STL will be negative. However, negative STL is a violation of energy conservation. Can someone explain this to me?
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Negative dB is not a negative number. dB is an exponent. It’s expressing a value as a power of 10 (except, for no fathomable reason, the power of 10 is multiplied by ten)
So, for example, -30 dB is 10^(30/10) = 0.001 a small positive number.
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Hii connection, i have designed a unit cell with boundary conditions, open on x-axis, magnetic on z axis, and electric on y-axis. and simulate the unit cell in the time domain solver. Getting the desired result after optimation. But while I am creating an array, a popup window with the message " it was found that the parametric sweep does not change the structure. For the sake of faster parameter sweep, you may want the single frequency adaptive mesh refinement to be turned off after the first parameter combination has been processed" appears.
DO you want to reuse the refined mesh for all subsequent parameter combinations?
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If we design a unit cell with open on the x-axis, magnetic on the z-axis, and electric on the y-axis. and getting the desired results like the real part of mu -ve, the real part of epsilon -ve,, and the real part of n -ve. can we use that unit cell as an array in our design antenna? Or should I first form an array of that unit cell and simulate the same in the CST? But as I did this. I got different results meaning mu, epsilon, and n all become positive. just want to confirm that am I doing something wrong.
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I’m currently in the process of selecting a research topic for my doctoral studies. I have a keen interest in the field of acoustic metamaterials. I would really appreciate if you are helping me to provide your expertise and suggestion to select the topics in the field of acoustic metamaterials
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Here's another list for you Mk Karthi .
  1. Adaptive Acoustic Cloaking: Investigate the development of adaptive acoustic cloaking devices capable of real-time response to changing acoustic conditions. Explore applications in sonar technology and materials science for enhanced stealth capabilities.
  2. Metamaterials for Urban Noise Mitigation: Research acoustic metamaterials designed to reduce noise pollution in urban environments. Focus on sound-absorbing and deflecting structures to enhance acoustic comfort and urban sustainability.
  3. Quantum Acoustics with Metamaterials: Explore the use of metamaterials in the emerging field of quantum acoustics. Investigate how metamaterials can manipulate quantum acoustic phenomena, potentially leading to advancements in quantum information processing.
  4. Advanced Ultrasound Imaging with Metamaterials: Develop acoustic metamaterials to improve ultrasound imaging resolution and depth. Investigate the design of acoustic lenses and sensors for enhanced medical diagnostics and healthcare applications.
  5. Underwater Acoustic Exploration: Pioneer the use of acoustic metamaterials for underwater exploration, including improved sonar and underwater communication systems. Explore applications in marine research and defense technology.
  6. Acoustic Solutions for Space: Research the application of acoustic metamaterials in space habitats and spacecraft to address noise and vibration challenges. Enhance the acoustic environment for astronauts during space missions.
  7. Bio-Inspired Acoustic Metamaterials: Draw inspiration from natural structures to create bio-inspired acoustic metamaterials. Investigate their potential for advanced sensors, biomimetic materials, and underwater communication systems.
  8. Acoustic Energy Harvesting: Explore the development of acoustic metamaterials for energy harvesting, converting acoustic energy into electricity. Investigate applications for sustainable power generation in remote or off-grid areas.
  9. Quantum-Secure Acoustic Communication: Research quantum-secure acoustic communication networks using metamaterials. Explore the potential for unbreakable acoustic encryption methods with applications in secure communication.
  10. Metamaterials in Extreme Environments: Develop metamaterials for use in extreme environments, such as deep-sea exploration, space travel, or industrial settings with high temperatures and pressures. Investigate their resilience and adaptability.
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Dear Sir,
The tutorial or user manuals of OptiFDTD say that it can provide reflectivity and transmission properties of metamaterials as a function of incident wavelengths. However, it seems that it can only provide near-field response of the metamaterial instead of far-field, which can be experimentally observed and useful to know the actual validiy of the metamaterials. There should be physical principle to transfer near-field response to far-field response for such materials. It will be appreciated if anyone tell me some functions in the OptiFDTD available for this purpose.
Sincerely yours,
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As of my last update in September 2021, OptiFDTD (Finite-Difference Time-Domain) is a software tool primarily used for simulating and analyzing the behavior of optical devices and structures in the time domain. It is part of the Optiwave software suite. While OptiFDTD is a powerful tool for studying various optical phenomena, it may not directly provide "far-field reflectivity and transmission spectra" for metamaterials as a built-in feature.
In OptiFDTD, you can simulate the behavior of optical metamaterial structures and analyze various properties such as transmission, reflection, and near-field distributions. However, obtaining the far-field spectra (which typically involves Fourier transforming the near-field data) might require additional post-processing steps or using other software tools for further analysis.
To obtain far-field reflectivity and transmission spectra for metamaterials, you can follow these general steps:
1. **Near-Field Simulation:** Set up your metamaterial structure in OptiFDTD and run simulations to obtain the near-field distributions (e.g., electric field or intensity) at specific frequencies or over a range of wavelengths.
2. **Far-Field Transformation:** After simulating the near-field distributions, you need to transform the near-field data into the far-field domain to obtain the spectra. This transformation involves Fourier transforming the near-field data to obtain the angular and spectral components of the radiation pattern.
3. **Post-Processing or External Tools:** Perform post-processing on the transformed far-field data to obtain the desired reflectivity and transmission spectra. You can use software like MATLAB, Python, or other data analysis tools to handle the Fourier transformation and further analysis.
Keep in mind that the process may vary depending on your specific simulation setup and the type of metamaterial you are working with. Additionally, OptiFDTD might have received updates or added features since my last update, so I recommend checking the latest documentation or contacting the software vendor to see if there are any built-in features or plugins that can help with far-field analysis for metamaterials.
Always ensure that the simulation setup, post-processing, and analysis methods you use are accurate and validated against known results or experimental data to ensure the reliability of your findings.
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I am designing a metasurface to control the transmittivity and reflectivity of EM waves at a unit cell level by Floquet simulations. Applying this periodic structure to a large panel leads to a high computational effort. In CST there are methods to homogenize the surface using the scattering parameters, but the dependencies on incidence angle and mode are not applicable in FEM and FDTD solvers. I tried to apply GSTC methods and use an anisotropic effective dielectric material definition, but that did not work for well for oblique incidence.
What is the best way of working to homogenize the panel in CST?
Thank you for your recommendations in advance!
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Sorry, for my delayed reply. I had some days off.
Thank you again for your explanation, Thomas. According to that, I would rather keep the higher level few. My concern is about radio frequencies anyway.
I managed to synthesize effective parameters that widely match the wanted responds. I guess the mismatch is due to the limits of the software and can be hopefully sorted out with the vendor's support.
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How can I check S11 and S21 of a metamaterial unit cell with respect to various phi and theta angle.
Thank you!
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Muhammad Sajjad I can't find theta and phi in the parametric sweep option. It only shows the design-related parameters to perform parametric sweep operations. Can you please mention it a little bit more clearly? Thank you!
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My FYP is based on this, kindly if someone can help me out.
Thanks
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Dear Syed Osama Bin Sadiq , very important in your question the sign of the refractive index as well.
As start point of your research you can considare fig. 4 in the conference paper
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How can I model the red circle part (Paper with 0.24mm thickness and Air with 6mm thickness) in figure1 (equivalent circuit model) in ADS?
Did I do the right job in figure 2(My model in ADS)?
Is there any component in ADS for dielectric layer in certain thickness?
Somebody please help me solve the questions.
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Now i use the ideal transmission line model to instead of paper and air. the impedance is calculated by the permittivity and permeability. The electrical length of the transmission line is calculated by the thickness and the impedance@Thomas Breuer
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some edges which are part of lossy conductor surfaces are the intersection of otherwise disjoint regions. these edges will be treated as infinitely thin PEC wires
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okk, I get your point, sir. thank you again for your answers. @Malcolm White
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Metamaterials simulation.
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How is Comsol simulation different from fdtd simulation?
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Software such as Mirage, Remcom's XFdtd software, OmniSim, etc. exists. but which one is the best for various purposes, for example thermal simulation, acoustic simulation, structural analysis simulation, etc.?
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There are several software options available for designing and simulating metamaterials for various applications. Some popular options include:
  1. Comsol Multiphysics: This software offers a wide range of tools for simulating electromagnetic, acoustic, and thermal phenomena, making it well-suited for designing and simulating metamaterials for various applications.
  2. Ansys HFSS: This software is specifically designed for simulating high-frequency electromagnetic fields and is often used for designing and simulating metamaterials for RF and microwave applications.
  3. Lumerical: This software offers a suite of tools for simulating electromagnetic, optical, and heat transfer phenomena, making it well-suited for designing and simulating metamaterials for various applications, particularly in photonics and optical communication.
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Hello sir/ma'am
I have designed a metamaterial using FR4 substrate of relative permittivity of 4 for C, X, Ku band applications. Now I want to fabricate it for measurement. When I am sending it fabrication, they are providing the FR4 substrate of relative permittivity of 4 at 1GHz. Will it be constant for other frequency or it will vary?
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It slightly varies over frequency, both for the real and the imaginary part. Be careful that "FR-4" is designating a family of materials, basically they are "Flame retardant". This means that their dielectric properties are not controlled at all. I would recommend to get the datasheet of the PCB material you'll use. If it contains data at the frequency of interest, then you can be confident that the substrate will perform as expected. You can also do a measurement of the permittivity of the substrate. Some companies do offer that service.
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I simulate a periodic structure placed on a lossy, dispersive half-space whose relative permittivity is smaller than zero at some frequencies. Using CST 2020, I apply open boundary condition (without adding space) in the direction filled with the mentioned medium.
However, the simulation doesn't progress due to the errors. These errors are as follows:
1) "The Floquet port boundary at Zmin must be homogeneously filled with isotropic loss-free and non-dispersive material. For non-dispersive materials, please consider using the option to "Ignore losses" in the solver specials.".
2)"The Floquet port boundary at Zmin has negative material coefficients, which are not supported."
Curious to know the reason. Does it belong to the software limitations or sth?
Any suggestions or ideas are appreciated.
Thanks
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Thanks for your response dear
Libi Mol V.A
Yes I've used this technique to get the results. But, as I mentioned i want to know why Floquet ports can't model lossy (as well as dispersive) half-space medium without using the Open add space boundary condition (BC).
Because, by considering a quarter wavelength space between the medium and Floquet port (via using Open add space BC ), we don't model a half-space anymore. Accordingly, we can obtain results approximately by considering sufficient thickness for the lossy medium.
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I want to calculate the absorptivity of a metamaterial absorber. But what is the absorptivity formula in the S-parameter in TE and TM mode ???
A= 1-R-T
What is the value of R and T in terms of the S-parameter in TE and TM mode???
Values of R and T:
SZmax(1),Zmax(1), SZmax(2),Zmax(1), SZmin(1),Zmax(1)
SZmax(2),Zmax(2), SZmin(2),Zmax(2).........any other
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Dr. Sankari Manda
Thank you, sir, for answering my question. Although I still have doubts about the formula for metamaterial absorber absorbability in terms of the S-parameter in TE and TM modes.
A=1-R
A=1-|SZmax(1), Zmax(1)|^2-any other terms for TE and TM modes???
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Hello everyone,
is there a generic rule in simulation setup of metamarials cells when it comes to what should be at the bottom of the substrate?
Thanks for your responses.
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The bottom layer should be thick enough that the evanescence wave is almost gone by the bottom surface. To the degree that is not possible, you do not want a fake reflection in your calculation. Set the boundary condition to absorb the remaining field.
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accurately, i wanna know how to design a transmissive metamaterial cell that produces a wide range of phase differences?
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I am not sure your question is very well posed, but to get any strong effect you need a strong wave-metamaterial coupling (eg for EM waves, some kind of electrical interaction, as per an appropriately designed metallic structure such as a split ring resonator or a fishnet). If you want a wide range of responses over a narrow bandwidth, then the structure itself will (also) have to have a similarly narrow resonance.
I suggest you first look at some of the basic literature on e.g. SRR's, or abstractions such as the Lorentz model, or the Drude model, to see how they behave and what they can do.
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How to use the plane metamaterial lens to realize the function of the dielectric lens (such as convex lens or concave lens), or how to convert the change of the thickness of the dielectric lens into the change of the refractive index of the plane lens, and what is the corresponding relationship between the two
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Basically, it is required to transform the thickness of the lens for each light ray to: first, the optical path length, and then to phase shift. And with the phase shift profile you can now design an equivalent metalens.
The fundamentals of the phase change introduced by a lens can be found in Goodman's book "Introduction to Fourier Optics".
An introduction to the optics of metalens is in "Optics of the metalens"
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Excuse me  I know how to plot the dispersion diagram of a unit cell, but I want to plot the dispersion diagram of a ribbon supercell.  Do you use an eigenmode solver? What was your periodic boundary condition? For a unit cell all sides become periodic boundaries, What should it be for a ribbon supercell? Is there any change for phase delays between boundaries with respect to a single unit cell? Best regards
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If you know how to plot the dispersion diagram of a unit cell, it is pretty easy to plot the dispersion diagram of a ribbon supercell. You could use the same eigenmode solver as you would do for the unit cell, it is just that you use the periodic boundary condition along one direction (the periodically repeated direction) but use other boundary conditions (e.g., PEC or scattering boundary conditions) at the two ends of the finite supercell. You then can get the dispersion diagram of a ribbon supercell by just scanning the frequencies as a function of momentum along the periodic direction.
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Please share reference is any one has. I am looking in terms of antenna design perspective
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Malcolm White I generally urge some caution on defining many of your listed products as metamaterials; strictly speaking, these devices must possess behaviors or abilities beyond those found in natural materials in order to qualify.
Simply being periodic strictly isn't sufficient, although that's what the term has degenerated into in the current literature, I suppose.
I have worked on some lower-frequency "metamaterial" applications (I would prefer to categorize them as artificial transmission lines) in the ~100 MHz range. Based on these, I think it shouldn't be too much effort to get this down to the ~1 MHz rage, but you would be working with fairly large components at this point.
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I am confused about calculating the absorbability of the metamaterial absorber in between the two formulas below.
A=1-R-T ...............(1)
A=1-R ...............(2)
A=Absorbability
R=Reflection
T=Transmission
calculate the absorbability by equation 1 is mostly published metamaterial absorber paper. But nowadays, other authors comment on these papers.
I also want to design a metamaterial absorber. But which is the formula I use to calculate the absorbability of metamaterial absorbers.
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The absorptance is obtained through the equation
A(w) = 1 − T(w) − R(w), where T(w) and R(w) represent transmittance and reflectance, respectively.
Since, the perfect absorber can be discerned by reducing reflectance and transmittance to zero.
When the thickness of the bottom continuous (substrate) much than skin depth of electromagnetic waves, The transmittance can be effectively eliminated and the absorptance equation is A(w) = 1 − R(w).
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I have defined unit cell boundary condition for simulating unit cell of metasurface. If I want to study the reflection phase characteristics of the metasurface then where should be the reference plane in case of floquet port excitation? Should it be coincided at the top layer of the unit cell? Or it should be at Zmax ?
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Go through the provided link
You can find the details about de-embedding of the ports under Distance to reference plane subsection
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I have studied the literature and found that combining a Helmholtz resonator and membrane results in a negative effective mass density and a negative effective bulk modulus. Typically, in double negative acoustic metamaterials, we find two resonant frequencies, one due to the Helmholtz resonator and one due to the membrane. Is there any possibility that we get only one resonant frequency in double negative acoustic metamaterials?
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Well, you might imagine designing the membrane to have the same resonant frequency as the Helmholtz resonator; but I think that I would prefer to call that (e.g.) two degenerate resonant frequencies (due to their different underlying mechanisms); rather than to call it "one resonant frequency".
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I would like to know how to simulate the Absorbance of a metamaterial where I vary the Temperature in CST.
Thus, the output of my graph should be Absorbance vs Wavelength/Frequency where the Temperature is varied.
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First of all, you have to mention that what kind of structure you wish to design and which materials temperature you want to vary. You may follow this article. This article is related to temperature variation.
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I have observed that some research papers have included ground plane in their design and some have not. What is the purpose of including and removing the ground plane? The ground plane basically reflects the incident wave thus it improves thus the transmission is almost zero in the metamaterial cell. Please help to understand this.
Thank you.
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Thank you Pankaj Binda sir.
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Metamaterials are used in patch antenna as a superstrate increases several antenna parameters like gain, directivity etc. I have read several papers regarding this issue, but couldn't found any proper reason why this parameters are increased? Could you please suggest few papers or explanations based on this issue?
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Adding to what Malcolm White said, a metamaterial can also be added on top of the antenna to alter the near-field and hence achieve far-field beamforming like beam-shaping and polarization conversion.
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I am working on lattice structures. I saw in some papers that they used nTopolgy software to achieve the structures' stiffness matrix. unfortunately, I do not have access to this software.
You may guide me from which software or what solution I can get this matrix.
I look forward to your kind reply. Sincerely yours
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You may use the numerical homogenisation method:
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Metasurfaces have been presenting themselves in recent years as promising materials for holography, control of intensity and phase of optical waves, among others; and, in various applications in optics, such as metalens, optical manipulation, 3D image, optical communications and others. What are the advantages (and disadvantages) of holographic metasurfaces in relation to other potential holographic recording medium, such as photorefractive crystals and other photosensitive materials (glasses and polymers)?
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Dear Leon
Thank you for the feedback and for the references.
I'll read the references and post a comment.
Best regards.
Marcos
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I have designed the equivalent circuit of a metamaterial absorber which consists of L, C. S parameter, I got from CST software. Now I want to find out the lumped parameter values. So kindly help me how to find out these parameters value using ADS circuit simulation software?
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It depends on what you are looking for, you can convert S parameters to ABCD parameters in ADS and then use the abcd parameters to get different impedance/admittances of different circuit structures such as pi/t-models.
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Hi,
I have designed a metamaterial structure in HFSS software. I am getting S11 below -10db for certain frequency range, but confused with real and imaginary plot of permitivity,permeability and refcractive index. I am sharing the image of structure and plots. Can anyone help me understand if this structure is behaving metamaterial or not.
Thanks in advance.
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Hi Nidhi
This article involves all equations and m-file for extracting metamaterial characteristics, you can check your simulation and code with this:
Extraction of Material Parameters for Metamaterials Using a Full-Wave Simulator
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I want to simulate the developed metamaterial in CST Studio. However, simulation in the Period Structures template does not give me any results. The main aim is to find the permittivity and permeability values from the simulation results. Can someone please tell me what kind of template is appropriate to use and what the settings are?
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In this link, you can simply learn the method of extracting metamaterial parameters:
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Please let me know how to draw a color plot of PHP propagation of nanomaterials using mathematical tools. Actually, I am unable to draw phonons propagation using COMSOL. Is it possible to find out the plot using Matlab or other tools?
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I'm not quite familiar with phonons simulations, but it sounds like you want to display the dispersion relation of your system, right?
If so, COMSOL should return you a phonon map or something similar, but you'll need to cast that in the K-space through fourier transforms in MatLab.
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We want to simulate a metamaterial Antenna in HFSS.
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hi
you can use the below addresses for the first time and then modify your metamaterial unit cell structure for your goal:
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Hi !!
During simulation of space coiling up acoustic metamaterial in comsol acoustic-solid structure frequency domain to retrieve the transmission coefficent ,how could we apply floquet boundary condition for a plane wave.
Can someone show me using some numbers or related simulation file ? for better illustration please see the attached file.
Thanks
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Nitish Katiyar Thanks for your reply. I have already referred to the tutorials in the application library specifically "Acoustic Transmission Loss through Periodic Elastic Structures". In this tutorial, they assigned the wavenumber of the incident wave to the Floquet periodicity condition as well. I have based my analysis on this and I am performing a sweep over frequency but, for an x-directional incident wave the ky is getting zero as I am taking ky=k0*sin(theta). This has got me a bit confused.
Are you referring to any specific tutorial? Again, thanks for your reply :)
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Please see attachment, here two terms appeared in the inhomogeneous Helmholtz equation. What is the use of these two terms for a propagating wave in a particular direction.
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Paul Kinsler Thank you sir for your last reply.
This form will be union.
I have one more question . I want to calculate the transmission loss through a structure having a membrane and cavity and supported by an acrylic plate.
I am simulating using comsol multiphysics.
Over membrane I have chosen solid mechanics. The air cavity is assigned pressure acoustics but what about that backing acrylic plate.
I have to assign it as pressure acoustics or solid mechanics.
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Imagine the long-term and almost periodical interaction of gravitation waves with existing distribution of atoms (mostly hydrogen) in deep space. Billions of years of interaction can form a repetitive structure of atoms in huge volume (in 3-Dimesions), with some statistical deviations which can be caused by irregularities of gravitation waves.
Can this repetitive structure (in absence of near source of gravitation) represent some properties of Metamaterials?
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There are virtual particles in vacuum space that we haven't discovered yet experimentally. But this theory proves their existence:
I could verify the existence of detected and hidden particles using teaching about ultimate realities in Abhidhamma.
There is a similarity between the elementary particles (dimensional sets) and Material Forms (Rūpa) mentioned in Abhidhamma.
According to Abhidhamma, there are 28 material forms:
Concretely Produced (Nipphanna)
I. Great Elements (Mahā Bhūta):
1. Pathavi (Extension/Hardness)
2. Apo (Cohesion/Fluidity)
3. Tejo (Heat/Hotness)
4. Vāyo (Motion/Pushing & Supporting)
The above 4 great (Mahā) elements are not the emerged/derived elements. And those four elements made the following 24 elements:
II. Internal (Pasāda) Rupa:
5. Cakkhu (eye element) ==== Photon?
6. Sota (ear element) ==== Z Boson?
7. Ghāna (nose element) ==== W Boson (1)?
8. Jivhā (tongue element) ==== W Boson (2)?
9. Kāya (body element) ==== Gluon?
III. Gocara (Objective) Rupa:
10. Vaṇṇa (visible) ==== Electron?
11. Sadda (Sound) ==== Up Quark?
12. Gandha (Smell) ==== Down Quark (1)?
13. Rasa (Taste) ==== Down Quark (2)?
* Phoṭṭhabba (Tangibility, warmth, and movement) comes
from 3 mahā bhuta of pathavi, tejo, vāyo
IV. Bhava Rupa:
14. Itthi (Feminine) ==== Neutrino (1)?
15. Purisa (Masculine) ==== Neutrino (2)?
V. Hadaya (Mind Base):
16. Hadaya Vatthu (seat of the mind) ==== Z (1/2)?
VI. Life:
17. jīvitindriya (Life faculty) ==== Higgs Boson?
VII. Nutritional:
18. Oja (Nutriment) ==== Magnetic Monopole?
Abstract (Anipphanna) Rupa
VIII. Limiting Phenomenon:
19. Ākāsa dhātu (space element)
IX. Communicating (Viññatti) Rupa:
20. Kāya Viññatti ==== AXion (A)?
21. Vaci Viññatti ==== AXion (X)?
X. Mutable (Vikāra) Rupa:
22. Lahutā (lightness)
23. Mudutā (Elasticity)
24. Kammaññatā (weildiness)
XI. Material Qualities (Lakkhana Rupa):
25. Upacaya (production)
26. Santati (continuity)
27. Jaratā (Decay)
28. Aniccatā (Dissolving)
There is a mathematical way to derive the detected elementary particles and the hidden particles. Please consider reading my book on Binary Mathematical Physics and Buddhism to learn more about dimensional sets.
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Hello.
I try to design metamaterials consisting of a split-ring resonator (SRR) to manipulate its polarization.
To estimate polarization control of the metamaterials for any given incident waves, Jones matrix needs to be obtained, which is a matrix related to input/output electric fields in X and Y axis.
Using HFSS, I designed a SRR where two Floquet ports are located at top and bottom of the SRR and master/slave boundaries surround the SRR.
After running the simulation, I can plot S-parameters for several combinations of ports and excitation modes (TE and TM modes).
But, I couldn't find the ratio of transmitted and incident electric fields in X and Y axis which is necessary to identify the polarization states.
Please, let me know how to simulate E-field transmission coefficient of metamaterials using HFSS.