Production and Propagation of cylindrically polarized Laguerre-Gaussian
The x-polarized and y-polarized beam modes of simple confining circularly-symmetric
spherical mirror laser resonators may be represented with Laguerre-Gaussian
functions. The corresponding r-polarized and phi-polarized beam mode
profiles are found to be represented by a different Laguerre-Gaussian mode
set. Though similar in name, these cylindrically polarized modes
are fundamentally different than their rectangularly polarized counterparts.
For example, the fundamental x-polarized mode is Gaussian which has a maximum
at the center of the beam, while the fundamental phi-polarized mode has
a null at beam center. The complete propagation characteristics of
several types of azimuthally polarized Laguerre-Gaussian beams through
optical systems representable by complex ABCD matrices are obtained.
Cylindrically polarized Laguerre-Gaussian beams may be produced by inserting
the appropriate Brewster window into a simple confining circularly-symmetric
Date Modified January, 1998
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