1st Edition

Laser Beam Mode Selection by Computer Generated Holograms



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ISBN 9780849324765
Published July 20, 1994 by CRC Press
224 Pages

USD $290.00

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Book Description

Laser Beam Mode Selection by Computer Generated Holograms brings attention to a new class of optical elements called modans, with applications in laser and fiber optics. Separation of the transverse modes by modans is discussed in close analogy to well-known effects of color separation by diffraction gratings. The book describes the basic questions of digital holography in the recording of complex wavefronts on phase-only media, binary coding cells, multilevel computer-generated holograms, quantization and sampling, image reconstruction, and computer generation of multifocal and multibeam holograms.
This collective effort summarizes 12 years of scientific activities in the development of diffractive optical elements and provides considerable material never before published. An interesting appendix dedicates itself to mathematical proof of optimal properties of orthogonal base-functions and eigenfunctions.

Table of Contents

Preface
Introduction
Modes of Coherent Beams
Modal Beams in Scalar Approximation
Excitation of Modes in Optical Fibers and Laser Cavities
Complex Eikonal Method
Amplitude-and-Phase Relations for Free-Space Propagation of Mode Beams
Gaussian and Bessel Modes
Modans as the Computer Generated Holograms
Physical Observability of Modes and the Concept of Modans
Multifocal and Multibeam Holographic Optical Elements
Modans on Crossed Diffraction Gratings
Generating Functions Method for the Synthesis of Modans
Digital Holography Methods for Generation of Modans
Coherent Modes Selection
Optical Stages for Mode Selection with the Aid of Modans
Light Beam Formation with Required Composition of Modes
The Analysis of Modal Composition in Coherent Light Beams
Modal Spectral Transforms
Modan's Performances
Perturbations of Modal Functions
Modal Composition in Presence of Perturbations
Perturbation Matrix Evaluation in the Case of Sampling the Modal Functions
Energy Efficiency of Modans
Accuracy of Analysis or Formation of Coherent Beams
Accuracy of Modal Spectral Transforms
Modan's Development and Experimental Investigation
Computer Generation of Modans by Diffractive Optics Technology
Measurements of Efficiency and Operating Performances of Single-Beam Modans
Correlative Investigations of Two Beam Modans
Measurements of Modal Power Distribution in Graded-Index Fibers
Mode-Selective Excitation of the Fiber with the Aid of Modans
Tolerances for Launching Conditions in Modan-Aided Excitation of the Fiber
Fiberoptic Sensors and Communications with Mode Selection
Fiberoptic Communication Line with Modal Multiplexing
Mode-Selective Fiber Optic Sensors
Modan Perturbation Effects in Sensor Operation
Fiber Optic Sensor of Pressure with Reflective Computer Generated Optical Elements
Experimental Investigation of Microshift Sensor Employing Modans
Appendices:
The Proof of the Properties of Orthogonal Modes
Sinusoidal Modes in a Real Form
Analytical Equations for Gaussian Modes Excitation in Optical Fibers and Cavities
Random-Fields Expansions with Decorrelated Coefficients
References.
Index.

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