Paper
1 May 1996 Some recent advances in field propagation techniques
David Yevick
Author Affiliations +
Abstract
We examine several of our recent findings regarding field evolution methods. We focus particularly on three-dimensional solution algorithms for wide-angle wave equations including Lanczos, hybrid finite-difference/fast Fourier transform and finite-difference/Lanczos procedures. A novel alternating directional implicit formalism for general paraxial vector wave equations is considered and its stability and applicability to problems of practical interest are discussed in some detail. We also examine methods for stabilizing wide-angle vector algorithms and examine the role of modified Pade approximants and of appropriate dissipative boundary conditions. Finally, we compare the effectiveness of absorbing and transparent boundary conditions and consider the relative advantage which may be realized by employing both conditions simultaneously.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
David Yevick "Some recent advances in field propagation techniques", Proc. SPIE 2693, Physics and Simulation of Optoelectronic Devices IV, (1 May 1996); https://doi.org/10.1117/12.238985
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Cited by 1 scholarly publication.
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KEYWORDS
Wave propagation

Fourier transforms

Finite difference methods

Refractive index

Algorithm development

Finite element methods

Polarization

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