Abstract

Analytic methods are employed to solve the meridional ray equations for propagation in inhomogeneous cylindrical systems such as gas lenses and GRIN rods, which focus rays by virtue of a gradual radial decrease in refractive index. Digital computer programs are used to carry out the necessary algebraic manipulations, and the results apply for arbitrary index variations and initial conditions. Comparisons are made with known exact solutions.

© 1971 Optical Society of America

Analytic Solution of Ray Equations in Cylindrically Inhomogeneous Guiding Media. Part 2: Skew Rays

K. B. Paxton and W. Streifer
Appl. Opt. 10(5) 1164-1171 (1971)

Aberrations and Design of Graded-Index (GRIN) Rods Used as Image Relays

K. B. Paxton and W. Streifer
Appl. Opt. 10(9) 2090-2096 (1971)

Closed-form analytical solutions for ray tracing in optically anisotropic inhomogeneous media

Yohei Nishidate
J. Opt. Soc. Am. A 30(7) 1373-1379 (2013)

Scattering from Inhomogeneous Lenses with Singular Points

Nicolaos G. Alexopoulos
J. Opt. Soc. Am. 61(7) 876-878 (1971)

Complex Rays with an Application to Gaussian Beams

Joseph B. Keller and William Streifer
J. Opt. Soc. Am. 61(1) 40-43 (1971)