Laser Beam Mode Selection by Computer Generated Holograms: 1st Edition (Hardback) book cover

Laser Beam Mode Selection by Computer Generated Holograms

1st Edition

By Victor A. Soifer, Mikhail A. Golub

CRC Press

224 pages

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Hardback: 9780849324765
pub: 1994-07-20
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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



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


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



Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Optics