Phase - Science topic

Visit kindly the following useful RG link:

Dear Ayush Kumar Jaiswal

I assume you are using some kind of crystal plasticity model.

You can find parameters for the alpha phase here:

and see the crystal plasticity implementation here:

In crystal plasticity, you will need to use two different material models for the two phases. Normally in Abaqus you would define two different user materials and assign them to the different grains representing different phases (sections of the geometry).

Best Regards,

Nicolò Grilli

Dear Muhammad Sajeer P ,

please see for example :

A gradient in the refractive index affects the (relative) phase of an x-ray beam, which is evaluated by appropriate interferometric techniques. A 2D representation of the differential phase distiribution is called the differential phase image...

Dear Mohsen,

The explanations provided here may be helpful.

I try to identify the origin of the crossing between symmetric and antisymmetric modes in transverse isotropic magneto-electro-elastic composite using the slowness curves and the modal shape.

The transition metal is surrounded by chalcogen atoms and forms the structure like trigonal prism. Another form is the metallic 1T phase in which transition metal is synchronized by chalcogen atoms octahedrally. A distorted version of 1T phase is refer as 1T’ phase, in this structure transition metal atoms are just about octahedrally synchronized by chalcogen atoms but with less symmetry. The 2D lattice of the 2H and 1T single layers is hexagonal but the 2D lattice of 1T’ monolayer is rectangular. Phase change occurs from the 2H to 1T take place between 820 C and 880 C . Once the transition into 1T-phase occurs, this arrangement continues it’s meta-stable at high temperature without changing back into the 2H-phase. Above 1100 C it converted into 1T’ phase.

Yes WS2 can represents it self in both phases.

Dear Dr. Lakshaman Kumar,

in addition to the useful and interesting information provided by Dr. Abdelkader BOUAZIZ , I suggest you to have a look also at the following papers:

-A Modified Method for Barium Titanate Nanoparticles Synthesis

R. Ashiri, Ali Nemati, M. Sasani Ghamsari, S. Sanjabi, M. Aalipour

Materials Research Bulletin, 46 (2011) 2291–22952292

Available, on RG, at: https://www.researchgate.net/publication/225236852_A_Modified_Method_for_Barium_Titanate_Nanoparticles_Synthesis

-Low-temperature synthesis of crystalline BaTiO3nanoparticles by one-step “organosol”-precipitation

Yanling Gao, Vladimir V. Shvartsman, Anna Elsukova and Doru C. Lupascu

J. Mater. Chem., 22, 17573-17583 (2012)

Available, as abstract at: https://pubs.rsc.org/en/content/articlelanding/2012/jm/c2jm33373b#!divAbstract

-Synthesis of highly disperse tetragonal BaTiO3 nanoparticles with core–shell by a hydrothermal method

Jinhui Li, Koji Inukai, AkihiroTsuruta, YosukeTakahashi, WoosuckShin

Journal of Asian Ceramic Societies, Vol. 5, Issue 4, Pages 444-451 (2017)

Available at: https://www.sciencedirect.com/science/article/pii/S2187076417301379

Best regards, Pierluigi Traverso

IRS is getting a gradually wider meaning. Many people are considering the use case when the IRS acts as a relay that support the transmission from a source to a destination, by configuring how it reflects the incident signals towards the destination.

But if the IRS is also trying to convey its own information, by encoding it into how it varies the reflection properties over time, then it also performs backscattering communications.

So the topics are overlapping. Some people might say that backscattering is a special case (or use case) of IRS technology. Others might say that IRS technology is capable of performing backscattering communication, as an add-on to its primary use cases.

If you study the differences in phase splitter and phase inverters, the idea belongs to audio amplifier (http://www.angelfire.com/electronic/funwithtubes/Amp-Phase.html) , but you are doing something for the induction motor, so in my opinion you concentrate on the problem. Now a days, all of this is done through Power-bridge circuits(https://en.wikipedia.org/wiki/H_bridge), and the idea of changing phase through phase splitter is gone, unless you have a very big load.

Dear Adhidesh,

Unfortunately, you can not predict those tie lines that you see in ternary phase diagrams, they are experimentally determined by different techniques depending on what kind of sample you have (NMR spectroscopy, low-angle x-ray scattering and etc...). Usually, when the two phases region is determined, the tie lines are determined as well. I think your question was: can i draw the tie limes (by geometry or any other mathematical means) if i know the limits of the two phases region? The answer is no, those lines are experimentally determined by analyzing the composition of the two phases.

For example, if you know the limits of the two phases, what you do is take many samples inside the two phases region and determine analytically the composition of each phase: if you have one phase with 25% of A, 50% of B and 25% of C and the other phase with 60% of A, 30% of B and 10% of C, you now have two points that can be connected to form one tie line.

Once you have sufficiently tie lines inside your two phases region, other tie lines can be predicted (conjugate lines).

Best,

Thiago.

As Dr. Laura said it is clearly noted in picture the correction baseline is lower than it should be, also the partially degraded probe as well mentioned.

You can follow

There is another nice way to visualize high phase velocities..assume you are standing on a beach and the (water) waves are coming with some shallow angle to the beach..then the speed of propagation of those water waves (which for water waves depends on the depth of the water) can be seen as a kind of group velocity but the speed with which the wave breaking front is running up the beach is a phase velocity.The phase velocity is something very clearly physical and can easily be measured (e.g via standing wave pattern in a waveguide) but also in acoustics. And what you teacher told you that the PHASE velocity near an antenna may exceed the speed of light is absolutely correct similar to the situation at a waveguide below cutoff.BUT there are many claims that also the group velocity in such cases exceeds v=c which can easily be "demonstrated" but one should be very careful before interpreting this as signal velocity (V>c) since it usually violates the underlaying approximation or condition to use that simple definition only for weak dispersion.

I recommend you to read this paper:

http://ijens.org/Vol_18_I_05/180505-3737-IJMME-IJENS.pdf

Best regards

It is 1.74 eV at room temperature for both the phases. Link of the reference is attached here.

it is a nanocoatings so we can not flip any sides.@MohammadRezaZamaniKouhpanji

It is possible to measure the phase shift angle between two voltages with the help of comparators for calibrating instrument transformers. Phase displacement of 10 angular minutes can be measured with the standard uncertainty at the level of about 0.06 angular minutes.

The task of determining the phase shift angle between the two AC voltages can be solved using a precision multimeter measuring three voltages: each of the shifted voltages V1 and V2 and the difference between them V3.

Then calculate the phase shift by equation: acos {V1 / (2 * V2) + V2 / (2 * V1) - (V3 * V3) / (2 * V1 * V2)}.

So, you can define 0.07 angular minute with uncertainty of 0.003 angular minute (see "The method of measuring the phase shift angle between two voltages using a precision voltmeter").

Here is how I would do it in Matlab:

Generate a signal that consists of two sinusoids of frequencies 15 Hz and 40 Hz. The signal is sampled at 100 Hz for one second.

fs = 100; t = 0:1/fs:1-1/fs; x = sin(2*pi*15*t) + sin(2*pi*40*t);

Compute the discrete Fourier transform of the signal. Plot the magnitude of the transform as a function of frequency.

y = fft(x); ly = length(y); f = (-ly/2:ly/2-1)/ly*fs;

Compute the phase:

phs = angle(fftshift(y));

Compute the phase of the peak amplitude fft:

[~,maxindex]=max(abs(y));

maxphase=phs(maxindex);

Generate random phases:

phasemin = 0; phasemax = 2*pi; fftlength=length(y);

newphase = (b-a).*rand(fftlength,1) + a;

Inject the previous phase of the maximum peak in fft:

newphase(maxindex)=maxphase;

Note that this is for a double sided spectrum. The code needs some adapting, seeing as it is done for a double sided spectrum, but the approach is similar. Hope this helps.

Hi Utsa,

the problem is solved now! I did a small experiment testing a range of different citrate concentrations. Only the one I was using (1M) gave again this aqueous phase bubble, but I had normal precipitation with 0.5, 0.1 and 0.01 M citrate.

thanks!!

In the beginning let us confine our study on the simplest op amp circuit, which is an inverting op amp amplifier with resistive feed back.The phase shift of such amplifiers has single pole with a phase shift of -45 degrees at the - 3dB point. So in order to limit the phase shift you have to operate your amplifier in the region of the flat frequency response.

The gain can be expressed by A= A0/ (1+ jw/wc),

Where Ao is the gain at zero frequency, w is the frequency of the applied signal and wc is the cut off frequency. The phase of the gain A, phi= - tan^-1 w/wc, for w/wc=1, phi will be -45, phase lag by 45 degrees.

If we want to limit the phase delay of the amplifier to a specific value say phil: phi limit, then as phil is very small, one can approximate the phse relation ship as:

phil= - wl/wc,

Then one can gat wl= phil x wc, and fl= phil fc

fl will be the maximum input frequency, phil is the allowed phas delay, and fc is the required cut off frequency of the amplifier.  If phil= 5 degrees= .0 8726 rad, fl= 10 kHz,

Then fc= 114.6 kHz.

This example shows how far cut off frequency is much greater than the audio signal frequency. 

The question now what is the required gain of the amplifier A0 of the amplifier,

Say A0=10,

Then the minimum required gain bandwidth product of the op amp FT= greater than 114.6x10= 1146 kHz= 1.1 Mhz.So, the op amp 741 can just provide the required function with upper bound given above, that the gain of the amplifier must not be greater than 10.

Till now it is okay? not just so, because the amplifier has this bandwidth for small signals in the millivolt range. As at large signal the op amp speed is limited by its slow rate.  Since your signal is large then you have to use op amps with very high slew rate dV/dt, 

For a sinusoidal wave with  max dV/dt= Vsm wl= 1Vx 2 pi 114.6 k=720 k V/s, So you an amplifier with a slew rate not less than 1 V/us if your amplitude is limited to 1V.  If you want to amplify signals with higher amplitude you have to scale your slew rate.

Please you can build your circuit on the light of my analysis in this post. You problem will be solved.

Best wishes

thanks all of you for my correction. 

You could trigger them with the pulse generator. It's important you trigger the correct sequence of the thyristors. For example if you have a three phase system with 0, -120 and -240 degrees you have to trigger in this sequence to obtain the same behavior as diode bridges (first the top left one, second the right bottom, then the top middle, then the left bottom, then the top right and last the bottom middle). The times you trigger them you should calculate based on the times the sine waves of two phases match in one point. If you accomplish this, you can add different delays to the whole bridge to control the DC link

Egad - avoid metallic sodium.

Try this prep instead:

Crystal Growth & Design, 9(10), 4429-4437; 2009

Or this one:

Ind. Eng. Chem. Res., 2012, 51 (19), pp 6641–6647

Use an excess (~1.2 eq) of the alkyl bromide since it can easily be removed from the reaction mixture. You want to make sure you convert all of the imidizole.

Also, use very dry starting materials and solvent to avoid making the alcohol from the bromide.

Email me if you want to discuss further:

Good luck,

Chris

Two microwaves with different frequencies have the same phase at regular intervals, the interval is 1/(the difference between the frequencies).  It is nearly like asking "If two trains with different window spacing are travelling beside each other, are the windows opposite each other?"  The answer is sometimes, in some places, but never all at once.

Thanks Dear Larry. That was quite helpful

Hey Laouid. RSA algorithm chooses two random distinct prime numbers p and q. p and q are secret data. n = p x q is public data. Most complicated task is to achieve p and q from n.

Thank you sir for your help..

Gram variable coccobacilli

Phase Analysis Report

ndex Amount (%) Name Formula sum

A 82.3 Calcium sulfate Anhydrite Ca O4 S

B 6.9 Zincite O Zn

C 5.9 Oldhamite Ca S

D 2.6 Ca (C O3) C Ca O3

E 2.0 Calcite C Ca O3

F 0.3 Lime Ca O

24.8 Unidentified peak area

@Sherif...

Please look at my reply and give some answers. Unless you are running normal phase  on both HPLC and TLC, or reverse phase on both TLC and HPLC, you can't see which solvent system is best. The selectivities of the two systems are different, and a method in one (normal phase or reverse phase) won't transfer to the other.

thank you very much Rituraj Verma

Dear Ghassen,

I thinks that you haven't amorphous phase in your sample. But you have clay fraction. you can verify this by oriented blade technique.

Best regards

Mohamed

Please see Song and Hoyt, Acta Mater. 60 (2012) 4328-4335. 

In order to find out the most stable phase, you need to find out the Gibbs energy (or practically, the Gibbs energy difference with respect to some reference phase). You can see in the above cited paper that they have used NPT (zero external pressure) ensemble with liquid as the reference phase. (The problem with NVT could be that you would be sampling the systems at different pressures and they could be under stress, at times, unless the right volume is used). But as commented by Tao Wang, it is less likely that one potential can cover all the phases in question. If if does, the transitions temperatures (obtained from the potential) may most likely be different from what you expect. So, it is better to get the free energy differences as a function of temperature with crossed fingers. Again, in the above referenced paper on Fe, you would find that the potential is not able to show the bcc-fcc-bcc transitions. So the results shouldn't be treated as surprising.

Thank you so much.

I note some replies about solubility in polar solvents above- please consider "non-aqueous reverse phase"  as described here:

Snyder, L.R.; Kirkland, J.J.; Glajch, J.L.; Practical HPLC Method Development, 2nd Ed,

John Wiley & Sons, 1997, p.264

and demonstrated here:

 Dear Prof. Gerhard Martens

Thanks a lot for your interest and response.

Best regards

Fayroz

7

The ideal phase response for the filter whose magnitude response is provided in the question will be almost same as the figure provided with a pass-band phase of 0^o and stop-band phase of -90^o.

Dear Andrew Metcalf, Thank you for the detailed answer.You answered precisely what I wanted to understand.Now things are much clear.

The correct formula for Standard mean difference is here: https://en.wikipedia.org/wiki/Strictly_standardized_mean_difference

If standard deviation of the intervention phase is not 0, the result will be fine.

Best wishes.

Ziyi Chen (Peter Green)

Dear Sir,

I am facing problem in writing matlab code for three phase load flow analysis using backward-forward sweep method. Can u please provide me matlab code (conventional/general method will also be enough)?

Cheers,

Muhammad

Dr. Wahab:

Thank you for your answer. I am trying to predict theoretically.

In the case of G-L interaction, you can check ps 23-24, in the following material, dealing with two-film theory in the interfacial area: http://mimoza.marmara.edu.tr/~zehra.can/ENVE401/10.%20Two%20Film%20Theory.pdf

The most useful tool for developing interface is ASE-GUI (https://wiki.fysik.dtu.dk/ase/ase/gui/gui.html). You need to have basic understanding about python. I highly recommend this tool for developing crystal structures.

Phase to ground is most likely to start failing on long transmission lines. Wet weather, old insulation, interference from animals mostly birds squirrels and snakes. ice accumulation, lost kites, defective crop dusting, unauthorized access, and any number of other causes can lead to amplitude imbalance.

Sometimes imbalance is deliberate and sanctioned by the power company. Example when a small to moderate size single phase user is fed from one phase of a three phase system. This is a phase to phase imbalance usually of small extent, but requiring management.

Thank you sir..

If there is a real part there will be propagation.  If there is no real part the wave is evanescent, it only stores energy each half-cycle.  The imaginary part describes reduction in strength with distance, usually called attenuation.  Damping usually refers to reduction in size with time (omega having an imaginary part).

Why none of the above sir?

Dear Sahil,

in addition to the previous mentioned paper and lecture, you can add the following material:

-Akondi Vyas et al., "Spatial Light Modulator for wavefront correction", 2009.

-A Reflectance Display: Supplemental Appendix - Harvard University at vision.seas.harvard.edu/reflectance_display/SLM_appendix.pdf

Hi man, Please see the papers and books below,

A Handbook of Lattice Spacings and Structures of Metals and Alloys, By W. B. Pearson.

Advances in X-Ray Analysis: Volume 9 Proceedings of the Fourteenth Annual, By Gavin R. Mallett, Marie Fay, William M. Mueller

Hope this help.

you can choose any user friendly softwares such as POWDER CELL , GSAS,  MATCH, etc., which will give the quantify ratio either in manual or automatic mode. you just compare the stimulated pattern with the observed pattern then u can proceed accordlngly... 

all the best

Hi Bilal,

There are several examples in the ICSD-Database of it - e. g. the collection code 20-1683 for a Ca-alpha-Sialone or the isostructural Eu-alpha-Sialone 16-7908.

If you can't find any of these, you can also use alpha-Si3N4 as the basic structure (alpha is the one with space group P31c). You will have to adjust the lattice parameters by a bit. Ca will enter the structure on the 2b-site with a z of around 0.24 depending on the exact composition.

Hope this helps.

Regards,

Daniel

PEG 4000 density 1.09 g/cm³ Density of solution Na2SO4 25 0C, 29%, 1. 3 g/cm³. 

PEG solution is at the top. Inorganic salts solution is in buttom. 

Best regards.

If you want to convert liquid glycerol into gaseous glycerol you have 3 options: increase temperature, decrease pressure, and both simultaneously.

If you are trying to produce gaseous non-glycerol products from glycerine, you will need to crack it chemically. I am not aware of any efficient gassification reactions with glycerol other than combustion, but it could be an interesting research direction...

Hello Ahmed,

Do you use the fully-resolved Euer-Euler model (mass and momentum equations for each of the phases) or the Euler mixture model in ANSYS Fluent? Assuming the first, you may want to check your solver settings, in particular the descretization schemes - second order schemes may be preferrable for the mass conservation, even though they show less convergence. In previous works, I got good results with the QUICK scheme for the volume fraction and momentum, even though the First-Order-Upwind is set by default. Which convergence criteria did you define (usually the absolute criteria for the residuals is set to 0.001)? This may be not sufficient to meet mass conservation in your system. Also, do you achieve these criteria at all? If not, you may want to modify the relaxation factors - in my own cases the default settings were tyically too high (I often reduced the factors for density, body forces, momentum and turbulence by a factor of 0.8 compared to the default - this usually increases the number of iterations but can improve the convergence).

Last but not least (and I should have asked this first): do you use a transient or steady-state calculation? I haven't seen ANY steady-state multiphase case that gave correct results and mass conservation in a multi-phase simulation. Of course, then the defined time step size can also have an influence on your results - just make sure that the time step size is small enough, but ensure that the simulation doesn't run forever...

Hope this helps.

Regards,

Stephan

Semiconductor phase shifters, based primarily on GaAs, but also on SiGe and InP, have enjoyed steady progress for the past two decades. Their small size and relatively low power consumption  compared to ferrite devices has created new insertion opportunities. Many possible circuit topologies, using diode or FET switches in various configurations, exist.

please see this paper:http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20080001449.pdf

Give a try!

 Thank u so much every one. The material included Chalcogen oxyhalgenide.

If you subject it for rotary flash evaporation, definitely, some amount of water will also get evaporated. The purpose for which you want to evaporate aqueous phase has not been mentioned.

Hi Valerii,

Here is the segmentation recipe file and results I came up with. You may run this load this recipe in your copy of MIPAR and it will automatically segment and measure the area fraction of your particles. It came out to 15%. Let me know if you have questions!

Cheers,

John

The ripple phase is a 2D pattern with in and out-of-plane reflection in the SAXS regime. The gel phase is a 1D pattern in the SAXS regime. A nice paper showing this on aligned lipids is:

Katsaras, J, S Tristram-Nagle, Y Liu, R L Headrick, E Fontes, P C Mason, and J F Nagle. 2000. “Clarification of the Ripple Phase of Lecithin Bilayers Using Fully Hydrated, Aligned Samples.” Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 61 (5 Pt B): 5668–77. doi:10.1103/PhysRevE.61.5668.

or

Rappolt, Michael, Heinz Amenitsch, Janez Strancar, Cilaine V Teixeira, Manfred Kriechbaum, Georg Pabst, Monika Majerowicz, and Peter Laggner. 2004. “Phospholipid Mesophases at Solid Interfaces: In-Situ X-Ray Diffraction and Spin-Label Studies.” Advances in Colloid and Interface Science 111 (1-2): 63–77. doi:10.1016/j.cis.2004.07.004.

When two elements follow Hume-Rothery rules a single phase of the two elements in the solid state and the alloy is termed isomorphous alloy. This is the so-called ideal system. Departures from ideal systems occur in most cases either due to increased liquid clustering or solid clustering. The outcome could be eutectic, monotectic, peritectic and so on. In every case however, it is a (binary) alloy. See the text book by Schaffer, Saxena,et all for full details.   

Its an AC three phase motor. whose applications are universal commonly seen as water pumping motors, and very popular motor, a lot of information is available over the net and in any Electrical Machines text books.. Few useful links are already posted above.

The reason why Y/Y transformers are normally not used is that the neutral is not available at the primary side. Any zero sequence component experiences a high impedance.The reason is that the field pattern goes from yoke to yoke and this is a really much higher leakage impedance compared to concentric windings in normal field patterns.

One can avoid third harmonic and other zero sequence problems while using YZ configurations as well. It is rarely used, as windings from two legs are put in series and one has about 15% less voltage for the same resistance.

I used in previous times YY transformers for rectifiers with a low voltage output, with star point connected and 6 diodes to the +. It allows having 120° current blocks instead of 60°, without using a bridge. A third harmonic voltage appears on the neutral.

Although many phases are metastable phases, certain energy barriers will block their transformation unless the systems are stimulated by external forces, such as pressure, temperature and deformation. So far there is no report, to my best knowledge, that X-ray diffraction can stimulate such phase changes. X-ray may have photoelectric effects, and any such weak interaction with electron systems will not induce phase changes.

It depends completely on the problem. If diffusion through the al12mg17_a12 phase is rate determining, then you shouldn't. If it isn't, or not to any large degree, then there are some options: assume that you can ignore the diffusion through the phase or find estimates of tracer/impurity diffusivities in the literature and use those.

I am not sure I did understand the question. A lock-in amplifier should lock the reference frequency straightforwardly. The ref frequency can either be set internally or provided externally by a modulator that is also modulating the input signal. Phase locking is usually done by changing the phase until the amplified signal is minimum or even zero (that is searching the quadrature phase of the ref with respect to the input) and then adding 90° phase shift. Almost all lock-in amplifiers all have the Auto-phase option.  

Sometimes, the software will take the absolute tallest peak (which could happen to be a negative peak) and flip to make it positive to make it easy to view. 

Useful!

1. High-speed gas chromatographic analysis of solvents in pharmaceuticals using solid phase microextraction

AR Raghani - Journal of pharmaceutical and biomedical analysis, 2002 - Elsevier

... we recommend you upgrade to a newer version of IE or use a different browser: Firefox ... in samples is one of the most demanding tasks for analytical chemists in pharmaceutical industry. ... On the other hand, correlation coefficient of acetone extracted from aqueous matrix with 100

A simple, inexpensive and rapid analytical approach for the determination of organic volatile impurities in pharmaceutical drug substances is developed, where sample preparation step was conducted using solid phase microextraction (SPME), followed by a fast GC separation. With an extraction time between 3 and 5 min and separation of 13 solvents in less than 3 min employing fast temperature programming using resistively heated column, organic volatile impurities can be analyzed within a total analysis time of 6–9 min. Various SPME phases were evaluated towards sensitivity and selectivity for the extraction of 13 commonly found solvents in drug substances dissolved in dimethyl sulfoxide and water. A 2-cm Carboxen/polydimethyl siloxane/divinylbenzene (Carboxen/PDMS/DVB) phase and a 65-μm DVB/PDMS phase showed better sensitivity towards these solvents when extracted from organic and aqueous matrix in comparison with the sensitivity obtained with direct injection approach. Extraction parameters such as extraction time, extraction stir rate, etc. are discussed. %RSD of peak area of replicate extraction was between 2 and 10% when 100 μm PDMS was used for extracting solvents from aqueous matrix. When DVB/PDMS fiber was evaluated for precision, %RSD of peak area from replicate extractions of solvents from organic matrix was between 2 and 8%. One-hundred micrometer PDMS showed excellent linearity from 10 to 500 μg/ml for analytes extracted from water solutions. On the other hand, DVB/PDMS phase showed better linearity than Carboxen/PDMS/DVB fiber when it was used to extract analytes in the concentration range of 10–5000 μg/ml from organic matrix.

Phase shift(radian) = wavefront distortion(microns) x 2 pi / wavelength(microns)

I would suggest using Electron backscatter diffraction (EBSD). SEM analysis could also help up to some extent since TiB2 and TiB have different crystal structures and morphology. I think attached three articles would be helpful. Best,

Azmi Mert.

wdg#1 always star

Simply phase velocity of the wave propagation speed in the environment. The phase velocity of the wave, wave it in the space of phase transitions. The speed of a wave frequencies can be defined for each phase. For each specific frequency can be quickly identified phase of a phase (eg wave peak) can be calculated. Phase velocity and wavelength can be obtained by wave period.

Yes,  the phase front is  the same(<RMS WFE budget) everywher at the focal plane of a hing NA objective.

As you is working with a one- way coupling approach, the particles does not  have influence on the fluid flow field as you postulated. And based on this, the flow field of fluid is 'blind' regarding the particles velocities distribution. And so do doing, the pressure drop is function  of the velocity field of the fluid with a weak coupling with the volume fraction of dust - considering a  low void fraction. Of course, the  mixture properties can be accounted for as pointed out by Mishra and Chernyshev.