Generalized propagation law of laser beam parameters through thin pure-phase transmittances

Gemma Piquero; Pedro M. Mejias; Rosario Martinez-Herrero

doi:10.1117/12.259907

20 November 1996 Generalized propagation law of laser beam parameters through thin pure-phase transmittances

Gemma Piquero, Pedro M. Mejias, Rosario Martinez-Herrero

Proceedings Volume 2870, Third International Workshop on Laser Beam and Optics Characterization; (1996) https://doi.org/10.1117/12.259907
Event: Third International Workshop on Laser Beam and Optics Characterization, 1996, Quebec City, Canada

Abstract

As is well-known, pure-phase transmittances are not, in general, first-order optical systems. It thus seems that a simple ABCD-propagation law cannot be applied to this kind of transmittance. In other words, such optical elements could not be characterized by an overall ABCD matrix. The aim of the present contribution is to overcome this trouble. In fact, the propagation laws of the intensity moments of a laser beam through ABCD optical systems are generalized to include pure phase transmittances. This is done by representing the behavior of such transmittances by means of a 4 by 4 matrix, M, which can be handled, to some extent, as the ABCD-matrices associated with ordinary first-order optical systems. This formalism enables the application of ABCD propagation formulae to cascaded optical systems containing pure phase transmittances. Matrix M is applied, in particular, to determine the intensity moments and the beam quality parameter at the output of special quartic phase transmittances, namely, thin and thick spherically aberrated lenses.

Citation Download Citation

Gemma Piquero, Pedro M. Mejias, and Rosario Martinez-Herrero "Generalized propagation law of laser beam parameters through thin pure-phase transmittances", Proc. SPIE 2870, Third International Workshop on Laser Beam and Optics Characterization, (20 November 1996); https://doi.org/10.1117/12.259907

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KEYWORDS

Lenses

Transmittance

Laser beam propagation

Optical components

Beam propagation method

Matrices

Gaussian beams

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