Partha P. Banerjee

University of Dayton, Dayton, Ohio, United States

Are you Partha P. Banerjee?

Claim your profile

Publications (176)137.05 Total impact

  • Ujitha Abeywickrema, Partha Banerjee
    [Show abstract] [Hide abstract]
    ABSTRACT: Holographic interferometry is an effective and rich method for measuring very small (order of a wavelength) deformations of an object and is widely used for non-destructive testing. In this work, the use of photorefractive materials for implementing real time phase shifting holographic interferometry is examined in detail. Bragg and non-Bragg orders generated during two- and multi-beam coupling in a photorefractive material can be used to retrieve the deformation of the object, or the phase information of the object. In previous work, it has been shown that object deformation can be determined from monitoring Bragg and non-Bragg orders. Preliminary experiments for determining the depth profile of an object have been reported, along with approximate analytic solutions for the Bragg and non-Bragg orders for the case of interacting plane waves. In this work, the exact solutions of Bragg and non-Bragg orders are found from numerically solving the interaction equations in a photorefractive material. It is shown that if the grating written in the material using two waves is read out by a reference and the object, the resulting Bragg and non-Bragg orders contain the information of the object phase, and is dependent on material parameters and the writing and reading beam intensities. Similarities and differences between this dynamic holographic technique and the traditional phase shifting digital holography are extensively discussed.
    SPIE Optical Engineering + Applications; 09/2014
  • G. Nehmetallah, P. P. Banerjee, M. Alam, J. Khoury
    [Show abstract] [Hide abstract]
    ABSTRACT: The performance of a novel joint transform correlator (JTC) based on photorefractive (PR) two-beam coupling (TBC) is analyzed by determining the dependence of relevant figures of merit such as the discrimination ratio, the peak-to-correlation plane energy ratio, and the peak-to-noise ratio on the PR gain coefficient and pump-probe beam ratio for a variety of reference and signal images. In this scheme, spatially separated reference and signal images constitute the pump, which transfers energy to a weak probe in a novel image processing setup where the PR polymer serves as the spatial filter in the Fourier plane.
    SPIE Defense + Security; 05/2014
  • [Show abstract] [Hide abstract]
    ABSTRACT: Various matched filter based architectures have been proposed over the last two decades to optimize the target detection and recognition performance. While these techniques provide excellent performance with respect to one or more parameters, a unified and synergistic approach to evaluate the performance of these techniques under the same constraints is yet to be done. Consequently, in this paper, we used a set of generalized performance metrics for comparing the performance of the recently reported matched filter based techniques using various types of infrared and SAR datasets. Test results obtained using the aforementioned datasets and performance metrics provide excellent information with respect to the suitability of existing filter based techniques for various target detection and tracking practical applications.
    SPIE Defense + Security; 05/2014
  • SPIE Defense + Security; 05/2014
  • [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
  • [Show abstract] [Hide abstract]
    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;
  • Source
    R. Aylo, G. Nehmetallah, H. Li, P.P. Banerjee
    [Show abstract] [Hide abstract]
    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.
  • Source
    [Show abstract] [Hide abstract]
    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
  • Source
    P. P. Banerjee, M. R. Chatterjee, M. Maghraoui
    [Show abstract] [Hide abstract]
    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
  • [Show abstract] [Hide abstract]
    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;
  • Partha Banerjee, Ujitha Abeywickrema
    [Show abstract] [Hide abstract]
    ABSTRACT: Self phase modulation is a nonlinear effect that is observed when a laser beam is focused on to a high-absorbing thermal medium. A regular tea sample in a plastic cuvette is used as the nonlinear absorbing sample. The change in the refractive index of the medium occurs due to the heat generated by the focused pump beam, which in turn changes the refractive index. In this paper, self phase modulation is investigated in different ways. An Ar-Ion laser of 514 nm is used as the pump beam and a 632 nm He-Ne laser is used as the probe beam. The probe beam is introduced from the opposite side of the pump beam. Ring patterns are observed from the each side of the sample. Regular far field ring patterns are observed from the pump beam, and two sets of rings are observed with the probe beam. The behaviors of these inner and outer rings are monitored for different pump powers. The steady state heat equation is solved to obtain an exact solution for the radial heat distribution and far field ring patterns are simulated using the Fresnel-Kirchhoff diffraction integral. Ring patterns are theoretically explained using simulations results, and compared with experimental observations. Finally, an interferometric setup using the low power He-Ne laser is also used to determine the induced change in refractive index. Results are compared with those obtained directly from self-phase modulation and from the probe beam method.
    Proc SPIE 09/2013;
  • R. Aylo, P. P. Banerjee, S. A. Basun, D. R. Evans
    [Show abstract] [Hide abstract]
    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;
  • Source
    [Show abstract] [Hide abstract]
    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
  • Source
    [Show abstract] [Hide abstract]
    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
  • [Show abstract] [Hide abstract]
    ABSTRACT: It is well known that when two beams (object and reference) are incident on a recording material, high order diffraction may be observed during both the writing and reading of the hologram. These higher or non-Bragg orders contain the phase conjugate and the phase amplified versions of the object. In this talk, the utility of Bragg and non-Bragg orders during holographic construction and reconstruction using photorefractive materials and photothermoplastics is investigated with applications to object shape determination and deformation. Specifically, we discuss applications of non-Bragg orders in the 3d reconstruction of objects, and holographic interferometry using Bragg order to determine object attitude and deformation. The advantages of using non-Bragg orders (viz., phase conjugate and phase doubling) are also discussed.
    SPIE Proceedings; 06/2013
  • Source
    Logan Williams, Georges Nehmetallah, Partha P Banerjee
    [Show abstract] [Hide abstract]
    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
    [Show abstract] [Hide abstract]
    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
    [Show abstract] [Hide abstract]
    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
    [Show abstract] [Hide abstract]
    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;
  • [Show abstract] [Hide abstract]
    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;

Publication Stats

338 Citations
137.05 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