31 May 1989 Modeling Paraxial Diffraction Using Orthogonal Mode Decompositions
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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, 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
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