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Parametric characterization of Hermite-Gauss mode beams and Gauss Schell-model fields propagating through super-Gaussian apertures

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Piquero Sanz, Gemma María and Mejías Arias, Pedro Miguel and Martínez Herrero, Rosario (1996) Parametric characterization of Hermite-Gauss mode beams and Gauss Schell-model fields propagating through super-Gaussian apertures. In LBOC - Third International Workshop On Laser Beam And Optics Characterization. Proceedings Of The Society Of Photo-Optical Instrumentation Engineers (SPIE) (2870). SPIE - International Society of Optical Engineering, pp. 268-274. ISBN 0-8194-2267-3

Official URL: http://dx.doi.org/10.1117/12.259907




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 behaviour of such transmittances by means of a 4 x 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.


Item Type:Book Section
Additional Information:

© Society Of Photo-Optical Instrumentation Engineers (SPIE).
International Workshop on Laser Beam and Optics Characterization (3ª. 1996. Quebec, Canadá).

Uncontrolled Keywords:Beam Quality, Pure-Phase Transmittances, Aberrated Lenses
Subjects:Sciences > Physics > Optics
ID Code:23594
Deposited On:20 Nov 2013 09:19
Last Modified:20 Nov 2013 09:19

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