Matrix representation of multimode beam transformation

Javier Alda; Miguel A. Porras; Eusebio Bernabeu

doi:10.1117/12.48655

1 December 1991 Matrix representation of multimode beam transformation

Javier Alda, Miguel A. Porras, Eusebio Bernabeu

Proceedings Volume 1527, Current Developments in Optical Design and Optical Engineering; (1991) https://doi.org/10.1117/12.48655
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

The transformation of laser beams passing through optical systems is analyzed using a TEM modal decomposition. The laser beam is decomposed and the optical system is described by a matrix that relates the modal composition of the input and output beams. The hard aperture and the parabolic and Gaussian soft apertures are given a typical examples. The matrices that characterize these apertures allow analysis of the losses of laser resonators, including finite and/or variable reflectivity mirrors. The modal decomposition is used for defining modified ABCD matrices that include any kind of apertures.

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Javier Alda, Miguel A. Porras, and Eusebio Bernabeu "Matrix representation of multimode beam transformation", Proc. SPIE 1527, Current Developments in Optical Design and Optical Engineering, (1 December 1991); https://doi.org/10.1117/12.48655

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KEYWORDS

Resonators

Gaussian beams

Optical design

Optical engineering

Matrices

Phase shifts

Transmission electron microscopy

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