Lakshminarayan Hazra - Profile on Academia.edu (original) (raw)
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Papers by Lakshminarayan Hazra
Short CommunicationA Note On Mixed Second Order Aberration Derivatives
Journal of Optics
Imagerie d'objets ponctuels hors axe au moyen de réseaux zonés: stigmatisme à un ordre particulier
Journal of Optics, 1995
Analytical Derivatives for Optical System Analysis: Use of Gaussian Brackets
Journal of Optics, 1989
ICOP 2009-International Conference on Optics and Photonics CSIO , Chandigarh , India , 30 Oct .1 Nov . 2009 1 ASTIGMATISM , CURVATURE AND DISTORTION OF DIFFRACTIVE LENSES ON FINITE SUBSTRATES
Reports on aberrational characteristics of diffractive lens usually assume the lens to be thin, w... more Reports on aberrational characteristics of diffractive lens usually assume the lens to be thin, with zero substrate thickness placed in air. Under these assumptions, the curvature and distortion becomes zero for both plane and curved diffractive lenses, with astigmatism given by H2K, where H is the paraxial invariant and K the lens power. However in real diffractive lenses on finite substrates, large variations in these aberrations take place from the ideal model. This paper presents analytical expressions for these aberrations with numerical results highlighting these variations for diffractive lenses.
Pareto Optimality Between Far-Field Parameters of Lossless Phase-Only Filters
Resolution capability of an optical imaging system can be enhanced by reducing width of central l... more Resolution capability of an optical imaging system can be enhanced by reducing width of central lobe of the point spread function (PSF) of the transverse intensity distribution on the far field plane. Attempts to achieve the same by pupil plane filtering, is usually accompanied by concomitant increase in side lobe intensity. The mutual exclusivity between these two objectives may be cast as a multi objective optimization problem that does not have a unique solution; rather a class of trade off solutions called Pareto optimal solutions may be generated. To achieve super resolution, lossless phase only filters with pre-specified lower limits for Strehl ratio are synthesized by using Particle Swarm Optimization technique. Practical validation of the theoretical results is also undertaken by realizing the phase filters on reflective, phase only liquid crystal on silicon spatial light modulator.
Application of Walsh Functions in Generation of optimum Apodizers
Journal of Optics, 1976
Advances in Optics, 2014
In a recent communication we reported the self-similarity in radial Walsh filters. The set of rad... more In a recent communication we reported the self-similarity in radial Walsh filters. The set of radial Walsh filters have been classified into distinct self-similar groups, where members of each group possess self-similar structures or phase sequences. It has been observed that, the axial intensity distributions in the farfield diffraction pattern of these self-similar radial Walsh filters are also self-similar. In this paper we report the self-similarity in the intensity distributions on a transverse plane in the farfield diffraction patterns of the self-similar radial Walsh filters.
Binary Apodizers - an Experimental Study
Journal of Optics (India), 1977
Finite or Total Aberrations from System Data by Ray Tracing
Foundations of Optical System Analysis and Design, 2022
Paraxial Optics
Foundations of Optical System Analysis and Design, 2022
The Photometry and Radiometry of Optical Systems
Foundations of Optical System Analysis and Design, 2022
Monochromatic Aberrations
Foundations of Optical System Analysis and Design, 2022
Walsh Functions, Walsh Filters and Self-Similarity
Walsh functions, Walsh filters and their self-similarity are discussed in this chapter. One and t... more Walsh functions, Walsh filters and their self-similarity are discussed in this chapter. One and two-dimensional Walsh functions in rectangular and polar co-ordinates are defined. The concepts of radial and azimuthal Walsh functions are introduced. The method of generation of azimuthal Walsh functions of different orders has been demonstrated. Azimuthal Walsh functions have been studied for finding out self-similar groups and sub-groups between different orders to examine self-similarity existing within them. Radial and azimuthal Walsh filters have been defined from corresponding Walsh functions.
Self-similarity in Walsh Functions
A structure which can be divided into smaller and smaller pieces, each piece being an exact repli... more A structure which can be divided into smaller and smaller pieces, each piece being an exact replica of the entire structure is called self-similar. The set of Walsh functions can be classified into distinct self-similar groups and subgroups where members of each subgroup exhibit self-similarity. After a brief discussion on the generation of higher order Walsh functions from lower order Walsh functions by an alternating process, a scheme for classification of Walsh functions into self-similar groups and subgroups is presented. Self-similarity in radial and annular Walsh functions and the correspondence between Walsh filters and Walsh functions are also discussed.
Numerical Evaluation of Aberration Derivatives
Journal of Optics
Thin Lens Aberrations
Foundations of Optical System Analysis and Design, 2022
Diffraction Images by Aberrated Optical Systems
Foundations of Optical System Analysis and Design, 2022
Towards Facilitating Paraxial Treatment
Foundations of Optical System Analysis and Design, 2022
Primary Aberrations from System Data
Foundations of Optical System Analysis and Design, 2022
Towards Global Synthesis of Optical Systems
Foundations of Optical System Analysis and Design, 2022
Short CommunicationA Note On Mixed Second Order Aberration Derivatives
Journal of Optics
Imagerie d'objets ponctuels hors axe au moyen de réseaux zonés: stigmatisme à un ordre particulier
Journal of Optics, 1995
Analytical Derivatives for Optical System Analysis: Use of Gaussian Brackets
Journal of Optics, 1989
ICOP 2009-International Conference on Optics and Photonics CSIO , Chandigarh , India , 30 Oct .1 Nov . 2009 1 ASTIGMATISM , CURVATURE AND DISTORTION OF DIFFRACTIVE LENSES ON FINITE SUBSTRATES
Reports on aberrational characteristics of diffractive lens usually assume the lens to be thin, w... more Reports on aberrational characteristics of diffractive lens usually assume the lens to be thin, with zero substrate thickness placed in air. Under these assumptions, the curvature and distortion becomes zero for both plane and curved diffractive lenses, with astigmatism given by H2K, where H is the paraxial invariant and K the lens power. However in real diffractive lenses on finite substrates, large variations in these aberrations take place from the ideal model. This paper presents analytical expressions for these aberrations with numerical results highlighting these variations for diffractive lenses.
Pareto Optimality Between Far-Field Parameters of Lossless Phase-Only Filters
Resolution capability of an optical imaging system can be enhanced by reducing width of central l... more Resolution capability of an optical imaging system can be enhanced by reducing width of central lobe of the point spread function (PSF) of the transverse intensity distribution on the far field plane. Attempts to achieve the same by pupil plane filtering, is usually accompanied by concomitant increase in side lobe intensity. The mutual exclusivity between these two objectives may be cast as a multi objective optimization problem that does not have a unique solution; rather a class of trade off solutions called Pareto optimal solutions may be generated. To achieve super resolution, lossless phase only filters with pre-specified lower limits for Strehl ratio are synthesized by using Particle Swarm Optimization technique. Practical validation of the theoretical results is also undertaken by realizing the phase filters on reflective, phase only liquid crystal on silicon spatial light modulator.
Application of Walsh Functions in Generation of optimum Apodizers
Journal of Optics, 1976
Advances in Optics, 2014
In a recent communication we reported the self-similarity in radial Walsh filters. The set of rad... more In a recent communication we reported the self-similarity in radial Walsh filters. The set of radial Walsh filters have been classified into distinct self-similar groups, where members of each group possess self-similar structures or phase sequences. It has been observed that, the axial intensity distributions in the farfield diffraction pattern of these self-similar radial Walsh filters are also self-similar. In this paper we report the self-similarity in the intensity distributions on a transverse plane in the farfield diffraction patterns of the self-similar radial Walsh filters.
Binary Apodizers - an Experimental Study
Journal of Optics (India), 1977
Finite or Total Aberrations from System Data by Ray Tracing
Foundations of Optical System Analysis and Design, 2022
Paraxial Optics
Foundations of Optical System Analysis and Design, 2022
The Photometry and Radiometry of Optical Systems
Foundations of Optical System Analysis and Design, 2022
Monochromatic Aberrations
Foundations of Optical System Analysis and Design, 2022
Walsh Functions, Walsh Filters and Self-Similarity
Walsh functions, Walsh filters and their self-similarity are discussed in this chapter. One and t... more Walsh functions, Walsh filters and their self-similarity are discussed in this chapter. One and two-dimensional Walsh functions in rectangular and polar co-ordinates are defined. The concepts of radial and azimuthal Walsh functions are introduced. The method of generation of azimuthal Walsh functions of different orders has been demonstrated. Azimuthal Walsh functions have been studied for finding out self-similar groups and sub-groups between different orders to examine self-similarity existing within them. Radial and azimuthal Walsh filters have been defined from corresponding Walsh functions.
Self-similarity in Walsh Functions
A structure which can be divided into smaller and smaller pieces, each piece being an exact repli... more A structure which can be divided into smaller and smaller pieces, each piece being an exact replica of the entire structure is called self-similar. The set of Walsh functions can be classified into distinct self-similar groups and subgroups where members of each subgroup exhibit self-similarity. After a brief discussion on the generation of higher order Walsh functions from lower order Walsh functions by an alternating process, a scheme for classification of Walsh functions into self-similar groups and subgroups is presented. Self-similarity in radial and annular Walsh functions and the correspondence between Walsh filters and Walsh functions are also discussed.
Numerical Evaluation of Aberration Derivatives
Journal of Optics
Thin Lens Aberrations
Foundations of Optical System Analysis and Design, 2022
Diffraction Images by Aberrated Optical Systems
Foundations of Optical System Analysis and Design, 2022
Towards Facilitating Paraxial Treatment
Foundations of Optical System Analysis and Design, 2022
Primary Aberrations from System Data
Foundations of Optical System Analysis and Design, 2022
Towards Global Synthesis of Optical Systems
Foundations of Optical System Analysis and Design, 2022