Abstract

Path integration is presented as a method of solving 1-D optical coupled wave problems, in which the parameters of the system vary with distance. The method is derived by thin section decomposition and as a perturbation solution to the general matrix problem. Results are obtained as an infinite series solution, which is evaluated for a number of examples; in all cases, the solution is in agreement with that found by more conventional methods.

© 1987 Optical Society of America

Path-integral formulation of multiple scattering problems in integrated optics

Richard R. A. Syms
Appl. Opt. 25(23) 4402-4412 (1986)

Impulse response of grating-coupled waveguide filters by optical path integration in the time domain

R. R. A. Syms and S. Makrimichalou
Appl. Opt. 31(30) 6453-6458 (1992)

Path-integral formulation of multiple scattering problems in integrated optics: comment

Adrian Korpel
Appl. Opt. 26(9) 1582-1583 (1987)

Path-integral formulation of optical beam propagation

Shiv R. Vatsya
J. Opt. Soc. Am. B 22(11) 2512-2518 (2005)

Path-integral formulation of multiple scattering problems in integrated optics: author’s reply to comment

Richard R. A. Syms
Appl. Opt. 26(9) 1583-1583 (1987)