Abstract

A path integral has been used to evaluate, in paraxial approximation, the complex amplitude transmitted through gradient-index media. This formulation is useful for examining propagation in gradient-index media.

© 1987 Optical Society of America

Path-integral derivation of the complex ABCD Huygens integral

E. M. Wright and J. C. Garrison
J. Opt. Soc. Am. A 4(9) 1751-1755 (1987)

Fresnel zones in tapered gradient-index media

José Manuel Rivas-Moscoso, Carlos Gómez-Reino, and Marı́a Victoria Pérez
J. Opt. Soc. Am. A 19(11) 2253-2264 (2002)

Symplectic ray tracing based on Hamiltonian optics in gradient-index media

Hiroshi Ohno
J. Opt. Soc. Am. A 37(3) 411-416 (2020)

Ray tracing in concentric gradient-index media: optical Binet equation

Wanguo Liu
J. Opt. Soc. Am. A 39(6) 1025-1033 (2022)

Symmetric gradient-index media reconstruction

J. E. Gómez-Correa, A. L. Padilla-Ortiz, J. P. Trevino, A. Jaimes-Nájera, N. Lozano-Crisóstomo, A. Cornejo-Rodriguez, and S. Chávez-Cerda
Opt. Express 31(18) 29196-29212 (2023)