Partha P. Banerjee

University of Dayton, Dayton, Ohio, United States

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Publications (165)129.93 Total impact

  • [Show abstract] [Hide abstract]
    ABSTRACT: In this work multiwavelength digital holography is applied to calculate the volume displacement of various topographic surface features. To accurately measure the volume displacement of macroscopic features, long synthetic wavelengths up to several millimeters are generated using tunable IR laser sources. Practical methods of implementation are considered, including geometric effects of both Michelson and Mach-Zehnder recording configurations and error due to wavelength selection.
    Applied Optics 03/2014; 53(8):1597-603. · 1.69 Impact Factor
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    ABSTRACT: In this work multiwavelength digital holography, originally applied to calculate the volume displacement of various macroscopic topographic surface features, is now extended to the case of microscopic objects. Accurate measurements of volume displacement for macroscopic surface features has been achieved using long synthetic wavelengths up to several millimeters, generated via tunable IR laser sources. Microscopic volume measurements are performed via digital holographic microscopy using HeNe and Ar+ ion lasers to generate very short synthetic wavelengths. Practical methods of implementation are considered, including wavelength selection error and the geometric effects of both Michelson and Mach-Zehnder recording configurations on phase measurement. Results include comparisons to standard metrology tools, including 1D profilometry and white light interferometry.
    01/2014;
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    R. Aylo, G. Nehmetallah, H. Li, P.P. Banerjee
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    ABSTRACT: In recent years, multilayer photonic bandgap structures comprising stacks of alternating layers of positive and negative index have been proposed for a variety of applications, such as perfect imaging, filters, sensors, coatings for tailored emittance, absorptance, etc. Following a brief review of the history of negative index materials, the performance of such stacks is reviewed, with emphasis on analysis of plane wave and beam propagation, and possible applications in sensing. First, the use of the transfer matrix method to analyze plane wave propagation in such structures to determine the transmittance and reflectance is developed. Examples of cases where the Bragg bandgap and the so-called zero < (n ) > gap can be used for possible applications in sensing are illustrated. Next, the transfer matrix approach is extended to simulate the spatial evolution of a collection of propagating and nonpropagating TE and TM plane waves (or plane wave spectra) incident on such multilayer structures. The use of the complex Poynting theorem in checking the computations, as well as monitoring powers and the stored electric or magnetic energy in any section of the multilayer stack, is illustrated, along with its use in designing alternating positive and negative index structures with optimal gain to compensate for losses in the negative index material. Finally, the robustness of PIM-NIM stacks with respect to randomness in the dimensions of the PIM-NIM structure is examined. This should be useful in determining the performance of such structures when they are physically fabricated.
    Access, IEEE. 01/2014; 2:437-450.
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    ABSTRACT: Photorefractive polymers have been extensively studied for over two decades and have found applications in holographic displays and optical image processing. The complexity of these materials arises from multiple charge contributions, for example, leading to the formation of competing photorefractive gratings. It has been recently shown that in a photorefractive polymer at relatively moderate applied electric fields the primary charge carriers (holes) establish an initial grating, followed by a subsequent competing grating (electrons) resulting in a decreased two-beam coupling and diffraction efficiencies. In this paper, it is shown that with relatively large sustainable bias fields, the two-beam coupling efficiency is enhanced owing to a decreased electron contribution. These results also explain the cause of dielectric breakdown experienced under large bias fields. Our conclusions are supported by self-pumped transient two-beam coupling and photocurrent measurements as a function of applied bias fields at different wavelengths.
    Optics Express 12/2013; 21(25):30392-400. · 3.55 Impact Factor
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    P. P. Banerjee, M. R. Chatterjee, M. Maghraoui
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    ABSTRACT: Propagation of optical signals across a linear-nonlinear interface is investigated by using a spectral decomposition technique involving discrete sideband frequencies. The complexity of the analysis is shown to be appreciably reduced by assuming incommensurate discrete sidebands around the carrier. The efficacy of this formalism is tested for various cases, including discrete stationary modes, evolution of discrete sidebands assuming an undepleted carrier, and, finally, AM pulse propagation across the interface. Among several interesting results, the formation of a narrow-band FM pulse, spatially separated from the ubiquitous AM pulse, is demonstrated. The latter result may be interpreted as a test of the stability of the uniform plane-wave solution.
    Journal of the Optical Society of America B 11/2013; 7(1):21-29. · 2.21 Impact Factor
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    ABSTRACT: The complexity of photorefractive polymers arises from multiple contributions to the photo-induced index grating. Analysis of the time dynamics of the two-beam coupling signal is used to extract information about the charge species responsible for the grating formation. It has been shown in a commonly used photorefractive polymer at moderate applied electric fields, the primary charge carriers (holes) establish an initial grating which, however, are followed by a subsequent competing grating (electrons) that decreases the two-beam coupling efficiency. We show by upon using higher applied bias fields, gain enhancement can be achieved by eliminating the electron grating contribution and returning to hole gratings only.
    Proc SPIE 09/2013;
  • R. Aylo, P. P. Banerjee, S. A. Basun, D. R. Evans
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    ABSTRACT: The transfer matrix method is used to analyze induced reflection gratings in photorefractive iron doped lithium niobate in a self-pumped configuration. The optical field distribution and the induced refractive index distributions inside the material are computed, and the overall transmission and reflection are determined for different orientations of the c-axis. Numerical simulations are compared with experimental results.
    Proc SPIE 09/2013;
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    ABSTRACT: This novel joint feature issue on "Hybrid organic-inorganic materials for photonic applications" in Applied Optics and Optics Materials Express comprises 14 papers on liquid crystals, polymers, photoconductive materials, and gratings and filters. It is hoped that this feature issue encourages and stimulates further research into hybrid materials with enhanced linear and nonlinear optical properties, their mechanisms of operation, and their applications.
    Applied Optics 08/2013; 52(22):HM1-3. · 1.69 Impact Factor
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    ABSTRACT: This novel joint feature issue on "Hybrid organic–inorganic materials for photonic applications" in Applied Optics and Optics Materials Express comprises 14 papers on liquid crystals, polymers, photoconductive materials, and gratings and filters. It is hoped that this feature issue encourages and stimulates further research to into hybrid materials with enhanced linear and nonlinear optical properties, their mechanisms of operation, and their applications.
    Optical Materials Express 07/2013; 3(8):1149-1151. · 2.92 Impact Factor
  • Logan Williams, Georges Nehmetallah, Partha P Banerjee
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    ABSTRACT: In this work compressive holography (CH) with multiple projection tomography is applied to solve the inverse ill-posed problem of reconstruction of three-dimensional (3D) objects with high axial accuracy. To visualize the 3D shape, we propose digital tomographic CH, where projections from more than one direction, as in tomographic imaging, can be employed, so that a 3D shape with improved axial resolution can be reconstructed. Also, we propose possible schemes for shadow elimination when the same object is illuminated at multiple angles using a single illuminating beam and using a single CCD. Finally, we adapt CH designed for a Gabor-type setup to a reflective geometry and apply the technique to reflective objects.
    Applied Optics 03/2013; 52(8):1702-10. · 1.69 Impact Factor
  • G. Nehmetallah, L. Williams, P. P. Banerjee
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    ABSTRACT: Compressive holography with multiple projection tomography is applied to solve the inverse ill-posed problem of reconstruction of 3D objects with high axial accuracy. To visualize the 3D shape, we propose Digital Tomographic Compressive Holography (DiTCH), where projections from more than one direction as in tomographic imaging systems can be employed, so that a 3D shape with better axial resolution can be reconstructed. We compare DiTCH with single-beam holographic tomography (SHOT) which is based on Fresnel back-propagation. A brief theory of DiTCH is presented, and experimental results of 3D shape reconstruction of objects using DITCH and SHOT are compared.
    Proc SPIE 10/2012;
  • R. Aylo, H. Li, G. Nehmetallah, P. P. Banerjee
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    ABSTRACT: The transfer matrix method (TMM) has been used to analyze plane wave and beam propagation through linear photonic bandgap structures. Here, we apply TMM to determine the exact spatial behavior of TE and TM waves in periodic refractive index structures of arbitrary thickness. First, we extend the TMM approach to analyze plane wave propagation through Kerr type nonlinear media. Secondly, we analyze second harmonic fields in a 1D nonlinear photonic crystal for arbitrary angle of incidence of the fundamental plane wave. This allows us to construct the overall transfer matrix of nonlinear waves for the whole nonlinear optical structure from all the individual layer transfer matrices. We extend this method to analyze the effect of second order nonlinearity to beam propagation by applying TMM to the angular spectral components of the beam(s).
    Proc SPIE 10/2012;
  • Rola Aylo, George Nehmetallah, Partha Banerjee
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    ABSTRACT: In earlier work, the transfer matrix method (TMM) and the angular plane wave spectrum method (APWS) have been used to analyze plane wave and beam propagation in a multilayer structure consisting of positive index and negative index materials. In this paper, we demonstrate the use the complex Poynting theorem (CPT) to validate numerical calculations by the TMM and APWS methods. Application of CPT also gives physical insight into the power balance inside such structures which may possess complex permittivities and permeabilities, and have propagating and nonpropagating waves.
    Proc SPIE 10/2012;
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    ABSTRACT: We simultaneously capture holograms using multiple wavelengths with a single camera using off-axis holography. Our prototype uses two tunable lasers and the references or local oscillators are configured so that the reconstructed complex signal field at each wavelength fills different quadrants. The technique can be adapted for various applications and could be especially beneficial for 3D reconstruction of moving objects and high resolution imaging.
    Proc SPIE 09/2012;
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    ABSTRACT: Recording of holographic volume gratings lead to Bragg and non-Bragg diffracted beams with transformed images in each beam. In real-time mode fringes appear with a proper phase shift resulting in one shot phase shifting interferometry.
    Digital Holography and Three-Dimensional Imaging; 04/2012
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    ABSTRACT: The fabrication and characterization of a novel metamaterial that shows negative index in the visible (blue) is reported. The real part of the negative index of this metamaterial at 405 nm, comprising co-sputtered SiC + Ag nanoparticle mixture on a glass substrate, is deduced from results of double Michelson interferometry setup which shows a negative phase delay. It is numerically verified that this metamaterial can yield near-field super-resolution imaging for both TE and TM polarizations.
    Optics Express 03/2012; 20(7):7095-100. · 3.55 Impact Factor
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    ABSTRACT: We review our results on conversion of CW laser Ar-ion beam power into pulsating multi-channel outputs: optical, electric and piezoelectric with simultaneous dynamic pattern formation. We show, that electrical pulsations generate high-voltage signals that may be used as a driving voltage for the conventional electro-optical modulator. We have also demonstrated the possibility of synchronization of two optical pulsators, through regulated optical coupling in a photorefractive LiNbO3 crystal. Spatial distribution of scattered light is self-organized in different patterns (hexagonal and cross-type).
    Journal of Nonlinear Optical Physics & Materials 01/2012; 11(04). · 0.48 Impact Factor
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    ABSTRACT: The time dynamics of self-pumped reflection gratings in a commonly used photorefractive polymer PDCST:PVK:ECZ-BBP:C60 with no additional electron sources or traps is investigated. While holes are normally the mobile charges and responsible for grating formation, our experimental observations, analyzed using multi-exponential fitting curves, show evidence of electrons in addition to holes as charge carriers, particularly above an applied field of 40 V/μm. The dependence of effective carrier mobilities on the applied electric field, deduced from experimental results, show stronger field dependence of electron mobility at high electric fields. At an applied field of 70 V/μm, electron and hole mobilities become approximately equal, and the contribution of electrons on grating formation becomes significant.
    Journal of Applied Physics 01/2012; 111(1). · 2.21 Impact Factor
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    ABSTRACT: Metamaterials exhibiting a negative index of refraction in the visible are of recent interest due to many possible applications including cloaking and perfect lensing. Nanoparticle dispersed metamaterials have been researched due to their flexibility in operating frequency, electronic tunability, ease of fabrication and low cost. We propose sputtered binary polaritronic-plasmonic nanoparticles as candidates for metamaterials. Specifically, we show that co-sputtered SiC and Ag nanoparticles are used to obtain a negative index in the visible. Experimental verification of the negative refractive index include the z-scan technique for measurement of the linear refractive index, phase and group velocity measurements using a double Michelson interferometer, and surface plasmon resonance measurements for s and p polarizations for finding the effective permeability and permittivity. Through numerical simulations, we show that our nanoparticle mixture can yield near-field super-resolution for both TE and TM polarizations.
    Proc SPIE 01/2012;
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    ABSTRACT: We outline the use of digital holographic tomography to determine the three-dimensional (3D) shapes of falling and static objects, such as lenslets and water droplets. Reconstruction of digitally recorded inline holograms is performed using multiplicative and Radon transform techniques to reveal the exact 3D shapes of the objects.
    Chinese Optics Letters 11/2011; 9(12):120004. · 1.07 Impact Factor

Publication Stats

303 Citations
129.93 Total Impact Points

Institutions

  • 2002–2014
    • University of Dayton
      • • Electro-Optics
      • • Department of Electrical and Computer Engineering
      Dayton, Ohio, United States
  • 2010–2012
    • Wright-Patterson Air Force Base
      Dayton, Ohio, United States
  • 1977–2000
    • University of Alabama in Huntsville
      • Department of Electrical and Computer Engineering
      Huntsville, AL, United States
  • 1997
    • Virginia Polytechnic Institute and State University
      Blacksburg, Virginia, United States
  • 1991
    • Syracuse University
      • Department of Electrical Engineering and Computer Science
      Syracuse, NY, United States