SelectedWorks - Partha Banerjee

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Selected Works of Partha Banerjee

Professor and Director, Electro-Optics

PROFESSIONAL ACTIVITIES:
- Technical Chair, OSA Digital Holography Topical Meeting, Shanghai, 2015
 - Technical Group Chair, Environmental Sensing, OSA, 2014-present
  - Topical Editor, Applied Optics, OSA, 2010-present
  - General Chair, OSA Digital Holography Topical Meeting, Miami, 2010

Works
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About Partha Banerjee

PROFESSIONAL ACTIVITIES:
- Technical Chair, OSA Digital Holography Topical Meeting, Shanghai, 2015
 - Technical Group Chair, Environmental Sensing, OSA, 2014-present
  - Topical Editor, Applied Optics, OSA, 2010-present
  - General Chair, OSA Digital Holography Topical Meeting, Miami, 2010

Articles (114)

Multiple Plane-Wave Analysis of Acousto-Optic Diffraction by Adjacent Ultrasonic Beams of Frequency Ratio 1:m (Ting-Chung Poon, Monish Ranjan Chatterjee and Partha P. Banerjee) Journal of the Optical Society of America A (1986)

Multiple plane-wave scattering techniques are extended to analyze the diffraction of light by adjacent ultrasonics of frequency ratio 1:m to include the near-Raman–Nath regime. This is done first by modifying the existing theory, developed for ...

Reflection and Collision of Solitary Wave Solutions of the Nonlinear Klein-Gordon Equation (Partha P. Banerjee, H. K. Sim and Adrianus Korpel) Wave Motion (1986)

The reflection of solitary wave solutions of the cubically nonlinear Klein-Gordon equation from rigid and nonrigid boundaries, and their mutual interaction are studied using finite-difference numerical techniques. The instability of these solutions is shown to ...

Split-Step-Type Angular Plane-Wave Spectrum Method for the Study of Self-Refractive Effects in Nonlinear Wave Propagation (Adrianus Korpel, Karl E. Lonngren, Partha P. Banerjee, et al.) Journal of the Optical Society of America B (1986)

We introduce an efficient algorithm to simulate nonlinear self-induced wave refraction effects. The algorithm is applied to the case of self-focusing, defocusing, and predicted steady-state behavior. The results show reasonably good agreement with available approximate ...

Wave Propagation in Nonlinear Dispersive Media (Partha P. Banerjee) IEEE Antennas and Propagation Society Newsletter (1986)

With a topic as general as Wave Propagation in Nonlinear Dispersive Xedia, there are two approaches that come to mind with regard to writing a short essay on the subject. The traditional approach is historical, ...

Design of a Topologically Dispersive Acoustic Soliton Tank (Partha P. Banerjee and Adrianus Korpel) The Journal of the Acoustical Society of America (1986)

The design of a topologically dispersive acoustic soliton tank, in which KdV solitons of desired amplitudes and widths may be generated and propagated, is presented. A potential application of the system as a traveling wave ...

Exact Solitary Wave Solutions of Nonlinear Evolution and Wave Equations using a Direct Algebraic Method (Willy Hereman, Partha P. Banerjee, Adrianus Korpel, et al.) Journal of Physics A: Mathematical and General (1986)

The authors present a systematic and formal approach toward finding solitary wave solutions of nonlinear evolution and wave equations from the real exponential solutions of the underlying linear equations. The physical concept is one of ...

A Simple Derivation of the Fresnel Diffraction Formula (Partha P. Banerjee) Proceedings of the IEEE (1985)

In contrast with the conventional technique of deriving the Fresnel diffraction formula using Green's functions and the integral theorem of Helmholtz and Kirchhoff, we present a simple direct derivation of Fresnel diffraction by starting out ...

Analysis of Acoustooptic Diffraction by Adjacent Ultrasonic Beams Using Multiple Plane-Wave Scattering Techniques (Ting-Chung Poon, Partha P. Banerjee and Monish Ranjan Chatterjee) IEEE Transactions on Sonics and Ultrasonics (1985)

Plane-wave multiple-scattering theory is used to analyze scattering in the Raman-Nath regime for adjacent ultrasonic beams of frequency ratio 1:m. The variation of the scattered intensities is obtained numerically as a function of the phase ...

A General Physical Approach to Solitary Wave Construction from Linear Solutions (Willy Hereman, Adrianus Korpel and Partha P. Banerjee) Wave Motion (1985)

We simplify the physical approach of constructing solitary wave solutions of nondissipative evolution and wave equations from the physical mixing of the real, rather than complex, exponential solutions of the linear equation, in two separate ...

A Heuristic Guide to Nonlinear Dispersive Wave Equations and Soliton-Type Solutions (Adrianus Korpel and Partha P. Banerjee) Proceedings of the IEEE (1984)

In this paper we present a heuristic way of constructing nonlinear dispersive equations that lead to soliton or soliton-type solutions. We assume only that a general knowledge of the dispersion relation of the system is ...

Self‐Refraction of Nonlinear Capillary‐Gravity Waves (Partha P. Banerjee, Adrianus Korpel and Karl E. Lonngren) Physics of Fluids (1983)

Self‐refraction effects have been observed during the propagation of deep‐water capillary‐gravity waves. The observations are shown to be in qualitative agreement with the theory of self‐focusing and defocusing in a cubically nonlinear medium in the ...

Subharmonic Generation by Resonant Three‐Wave Interaction of Deep‐Water Capillary Waves (Partha P. Banerjee and Adrianus Korpel) Physics of Fluids (1982)

Subharmonic generation has been observed during the propagation of deep‐water capillary waves. The observations are shown to be in agreement with the theory of degenerate resonant noncollinear three‐wave interaction in a nonlinear, dispersive medium.

Exact Decomposition of Cnoidal Waves into Associated Solitons (Adrianus Korpel and Partha P. Banerjee) Physics Letters A (1981)

Starting from the Korteweg de Vries equation, a precise model is developed of the decomposition of cnoidal waves into associated solitons.

Stability of Acoustic Nonlinear Dispersive Eigenmodes (Partha P. Banerjee and Adrianus Korpel) The Journal of the Acoustical Society of America (1981)

In an earlier investigation, spectral evolution equations were derived for nonlinear dispersive propagation. For the special case of two harmonics, two eigenmodes were shown to exist, of which one is parametric in nature. In this ...

Scalar EM Beam Propagation in Inhomogeneous Media (John M. Jarem and Partha P. Banerjee) Computational Methods for Electromagnetic and Optical Systems (2011)

In the previous chapter, we reviewed some of the mathematical preliminaries that will be useful later on in the text. In this chapter, we discuss some of the basic concepts of scalar wave propagation, and ...

Study of Soliton Stabilization in D+1 Dimensions using Novel Analytical and Numerical Techniques (George Nehmetallah and Partha P. Banerjee) Nonlinear Optics and Applications (2007)

In this Chapter, we provide a brief review of the underlying nonlinear Schrödinger and associated equations that model spatio-temporal propagation in one and higher dimensions in a nonlinear dispersive environment. Particular attention is given to ...

Signal Flow Analysis (Partha P. Banerjee) The Engineering Handbook (2005)

Signal flow graphs are a viable alternative to block diagrammatic representation of a system. What makes signal flow graphs attractive is that certain features from graph theory can be applied to the simplification and the ...

Nonlinear Self-Organization in Photorefractive Materials (Partha P. Banerjee, Nickolai Kukhtarev and John O. Dimmock) Photorefractive Optics: Materials, Properties, and Applications (2000)

This chapter discusses self-organization and its effects in optics. One of the most exciting and potentially useful areas of current research in optics involves the understanding and exploitation of self-organization in nonlinear optical systems. This ...

Numerical Analyses of Optical Propagation and Interaction in Nonlinear Photorefractive Materials (Partha P. Banerjee and John M. Jarem) Electromagnetic Fields in Unconventional Materials and Structures (2000)

This book will shape the course of electromagnetics research for decades to come. Fourteen leading researchers from five countries reveal their latest research results in detail and review parallel developments. The topics discussed, though unconventional ...

Attitude Measurement (Mark A. Stedham, Partha P. Banerjee, Seiji Nishifuji, et al.) The Measurement, Instrumentation, and Sensors Handbook (1998)

In many practical situations, it is important to determine and measure the attitude of a particular vehicle, such as a ship, an airplane, a piece of mechanical equipment such as a, crane lifter, or a ...

Consideration of Dispersion and Group Velocity Dispersion in the Determination of Velocities of Electromagnetic Propagation (Monish Ranjan Chatterjee and Partha P. Banerjee) Proceedings of SPIE: Optics and Photonics for Information Processing IV (2010)

Electromagnetic (EM) propagation velocities play an important role in the determination of power and energy flow in materials and interfaces. It is well known that group and phase velocities need to be in opposition in ...

Assessment of 3-D Angular Movements of Diffuse Objects Using Holographic Interferometry (Partha P. Banerjee, George Nehmetallah, Monish Ranjan Chatterjee, et al.) Digital Holography and Three-dimensional Imaging (2008)

We have developed a dynamic holographic interferometry (DHI) setup to measure changes in attitudes, distortions and vibrations of objects, using a holocamera. Digital algorithms have been developed to calculate above parameters from DHI images.

Examination of Energy and Group Velocities in Positive and Negative Index Chiral Materials with and without Dispersion (Monish Ranjan Chatterjee and Partha P. Banerjee) Frontiers in Optics 2007 (2007)

Concepts of energy and group velocities, Poynting and propagation vectors are examined for both positive and negative index materials. Known definitions for these entities are explored in terms of the interplay of chirality and dispersion.

Analysis of Beam Propagation in 90-degree Holographic Recording and Readout Using Transfer Functions and Numerical 2-D-Laplace Inversion (Monish Ranjan Chatterjee, Partha P. Banerjee and George Nehmetallah) Digital Holography and Three-dimensional Imaging 2007 (2007)

Recently, 2-D-Laplace analysis of recording and readout of edge-holograms was reported. Numerical Laplace inversion was examined for simple test cases. Inversion algorithms are applied to examine beam shaping and distortion in photovoltaic and photorefractive materials.

Investigation of Negative Refractive Index in Reciprocal Chiral Materials (Monish Ranjan Chatterjee, Partha P. Banerjee and Pradeep R. Anugula) Proceedings of SPIE: The Nature of Light: Light in Nature (2006)

It is well known that there exist both natural materials (such as milk or sugar solution) possessing chiral (or handed) properties, as well as an increasing list of man-made materials (such as sodium bromate) that ...