Fifth-Order Analysis of GRIN Lenses

E. Marchand

doi:10.1364/GIOIS.1984.FEA2

Fourth Topical Meeting on Gradient-Index Optical Imaging Systems
Technical Digest Series (Optica Publishing Group, 1984),
paper FEA2
•https://doi.org/10.1364/GIOIS.1984.FEA2

Fifth-Order Analysis of GRIN Lenses

E. Marchand

Gradient-Index Optical Imaging Systems 1984

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

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Theory and Mathematical Method II (FE)

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E. Marchand, "Fifth-Order Analysis of GRIN Lenses," in Fourth Topical Meeting on Gradient-Index Optical Imaging Systems, Technical Digest Series (Optica Publishing Group, 1984), paper FEA2.

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Abstract

In any radial gradient the fifth-order differential equation for meridional rays can be given by Here, the following scaling has been adopted: where ℓ is the third optical direction cosine (invariant along any ray) and the prime means d/dt.

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