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Virtual source for a Hermite–Gauss beam

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Abstract

A virtual source that generates a Hermite–Gauss wave of mode numbers m and n is introduced. An expression is obtained for this Hermite–Gauss wave. From this expression, the paraxial approximation and the first 3 orders of nonparaxial corrections for the corresponding paraxial Hermite–Gauss beam are determined. When both m and n are even, leading to maximum amplitude along the axis, the number of orders of nonvanishing nonparaxial corrections is found to be equal to m+n/2.

© 2003 Optical Society of America

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Equations (34)

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