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Proceedings Paper

Vector beam propagation using Hertz vectors
Author(s): Carl S. Milsted; Cyrus D. Cantrell
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Paper Abstract

Using the Hertz vectors, it is possible to reduce the Maxwell field equations inside index- guided optical devices to two couple scalar partial differential equations. With the proper selection of gauge functions, the mixed partial derivatives with respect to the propagation direction and either transverse direction can be eliminated. This results in a form similar to the equations used for the scalar beam propagation method. However, space-varying functions multiplied by partial derivative operators rule out convenient use of the same Fourier transform methods commonly used for the scalar case. A numerical method for solving time independent propagation of coherent light through guided nonlinear media including vector coupling using these equations is presented.

Paper Details

Date Published: 1 September 1991
PDF: 14 pages
Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); doi: 10.1117/12.46776
Show Author Affiliations
Carl S. Milsted, Univ. of Texas/Dallas (United States)
Cyrus D. Cantrell, Univ. of Texas/Dallas (United States)

Published in SPIE Proceedings Vol. 1497:
Nonlinear Optics and Materials
Cyrus D. Cantrell; Charles M. Bowden, Editor(s)

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