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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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