Research Papers in Physics and Astronomy

 

Date of this Version

2006

Citation

OPTICS LETTERS Vol. 31, No. 10 May 15, 2006

Comments

Copyright 2006 Used by permission

Abstract

The exact vector integral solution for all the electromagnetic field components of a general flattened Gaussian laser mode is derived by using the angular spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The integrals are of the form of Gegenbauer’s finite integral and are computed analytically for each case, yielding fields satisfying the Maxwell equations exactly in the form of quickly converging Fourier–Gegenbauer series.

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