Asymptotic Series Solution of the Parabolic Wave Equation in Gradient-Index Media

Leonard S. Taylor; Leonard S. Taylor

doi:10.1364/GIOIS.1984.ThEC3

Fourth Topical Meeting on Gradient-Index Optical Imaging Systems
Technical Digest Series (Optica Publishing Group, 1984),
paper ThEC3
•https://doi.org/10.1364/GIOIS.1984.ThEC3

Asymptotic Series Solution of the Parabolic Wave Equation in Gradient-Index Media

Leonard S. Taylor

Gradient-Index Optical Imaging Systems 1984

Monterey, California United States
19–20 April 1984
ISBN:

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Theory and Mathematical Methods I (ThEC)

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L. S. Taylor, "Asymptotic Series Solution of the Parabolic Wave Equation in Gradient-Index Media," in Fourth Topical Meeting on Gradient-Index Optical Imaging Systems, Technical Digest Series (Optica Publishing Group, 1984), paper ThEC3.

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Abstract

Exact solutions of the wave equation in gradient-index media are available for only a few special mathematical models of the index of refraction variation. We note that in cases of small fractional variation of index of refraction we may reduce the wave equation to the parabolic wave equation.

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