## Higher-order corrections to the electric field vector of a Gaussian beam

JOSA A, Vol. 16, Issue 9, pp. 2232-2238 (1999)

http://dx.doi.org/10.1364/JOSAA.16.002232

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### Abstract

The higher-order correction terms of the electric field vector of a Gaussian beam are derived explicitly from the magnetic vector potential that is assumed to be Gaussian and linearly polarized at the z=0 plane. The correction terms are proved to satisfy exactly Lax’s recurrence equations [Phys. Rev. A **11**, 1365 (1975)]. The electric field vector with correction terms of orders up to 3 is compared with the exact electric field vector of an integral form that is also derived from the magnetic vector potential.

© 1999 Optical Society of America

**OCIS Codes**

(260.2110) Physical optics : Electromagnetic optics

(350.5500) Other areas of optics : Propagation

**Citation**

Hyo-Chang Kim and Yeon H. Lee, "Higher-order corrections to the electric field vector of a Gaussian beam," J. Opt. Soc. Am. A **16**, 2232-2238 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-9-2232

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