31 May 1989 Modeling Paraxial Diffraction Using Orthogonal Mode Decompositions
Author Affiliations +
Proceedings Volume 1045, Modeling and Simulation of Laser Systems; (1989) https://doi.org/10.1117/12.951313
Event: OE/LASE '89, 1989, Los Angeles, CA, United States
Abstract
When the paraxial wave equation is used to include diffraction in nonlinear opics problems, expansion of the fields in a series of Gauss-Laguerre or Gauss-Hermite functions results in nonlinear coupling coefficients which are integrals of products of Laguerre or Hermite polynomials. A recursive technique is described for the evaluation of these coupling integrals. The method is then applied to power-dependent Raman scattering in focused geometry, power-dependent Raman scattering in a ring resonator, and diffractive propagation in optical parametric amplifiers.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
D. A. Cardimona, D. A. Cardimona, P. R. Peterson, P. R. Peterson, } "Modeling Paraxial Diffraction Using Orthogonal Mode Decompositions", Proc. SPIE 1045, Modeling and Simulation of Laser Systems, (31 May 1989); doi: 10.1117/12.951313; https://doi.org/10.1117/12.951313
PROCEEDINGS
8 PAGES


SHARE
Back to Top