Tracing Path Length on a Skew Ray in a Radial Gradient

Erich W. Marchand

doi:10.1364/GIOIS.1987.ThA2

Topical Meeting on Gradient-Index Optical Imaging Systems
Technical Digest Series (Optica Publishing Group, 1987),
paper ThA2
•https://doi.org/10.1364/GIOIS.1987.ThA2

Tracing Path Length on a Skew Ray in a Radial Gradient

Erich W. Marchand

Gradient-Index Optical Imaging Systems 1987

Reno, Nevada United States
15–16 January 1987
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Theory and Mathematical Methods (ThA)

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E. W. Marchand, "Tracing Path Length on a Skew Ray in a Radial Gradient," in Topical Meeting on Gradient-Index Optical Imaging Systems, Technical Digest Series (Optica Publishing Group, 1987), paper ThA2.

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Abstract

Analytic formulas provide a rapid means of tracing rays in a gradient medium. Streifer and Paxton^1,2 derived such formulas for the convergent type of radial gradient. They used a perturbation method to solve the appropriate differential equations, and the resulting formulas are quite accurate if a sufficient number of terms are retained.

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