Laser Beam Mode Selection by Computer Generated Holograms

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.

PrefaceIntroductionModes of Coherent BeamsModal Beams in Scalar ApproximationExcitation of Modes in Optical Fibers and Laser CavitiesComplex Eikonal MethodAmplitude-and-Phase Relations for Free-Space Propagation of Mode BeamsGaussian and Bessel ModesModans as the Computer Generated HologramsPhysical Observability of Modes and the Concept of ModansMultifocal and Multibeam Holographic Optical ElementsModans on Crossed Diffraction GratingsGenerating Functions Method for the Synthesis of ModansDigital Holography Methods for Generation of ModansCoherent Modes SelectionOptical Stages for Mode Selection with the Aid of ModansLight Beam Formation with Required Composition of ModesThe Analysis of Modal Composition in Coherent Light BeamsModal Spectral TransformsModan's PerformancesPerturbations of Modal FunctionsModal Composition in Presence of PerturbationsPerturbation Matrix Evaluation in the Case of Sampling the Modal FunctionsEnergy Efficiency of ModansAccuracy of Analysis or Formation of Coherent BeamsAccuracy of Modal Spectral TransformsModan's Development and Experimental InvestigationComputer Generation of Modans by Diffractive Optics TechnologyMeasurements of Efficiency and Operating Performances of Single-Beam ModansCorrelative Investigations of Two Beam ModansMeasurements of Modal Power Distribution in Graded-Index FibersMode-Selective Excitation of the Fiber with the Aid of ModansTolerances for Launching Conditions in Modan-Aided Excitation of the FiberFiberoptic Sensors and Communications with Mode SelectionFiberoptic Communication Line with Modal MultiplexingMode-Selective Fiber Optic SensorsModan Perturbation Effects in Sensor OperationFiber Optic Sensor of Pressure with Reflective Computer Generated Optical ElementsExperimental Investigation of Microshift Sensor Employing ModansAppendices:The Proof of the Properties of Orthogonal ModesSinusoidal Modes in a Real FormAnalytical Equations for Gaussian Modes Excitation in Optical Fibers and CavitiesRandom-Fields Expansions with Decorrelated CoefficientsReferences. Index.