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Parallel computations in the difference solution of the problem of radiation propagation in a three-dimensional optical element

D.L. Golovashkin, V.A. Soifer

Image Processing Systems Institute of RAS

Samara State Aerospace University

 PDF, 228 kB

Pages: 15-17.

Full text of article: Russian language.

Abstract:
The numerical solution of multidimensional equations of mathematical physics is computationally intensive, and the time for solving the problem can exceed the time of nonfailure operation of computing equipment. In this regard, it is advisable to use computers that support parallel computations, thereby reducing the computation time by several times. In particular, the calculations performed on a cluster allow to study the behavior of an electromagnetic wave in a three-dimensional optical element within the framework of a rigorous electromagnetic theory using the difference solution of Maxwell’s equations. The paper [1] presents an explicit-implicit difference scheme providing for the numerical solution of the system of Maxwell's equations written in a three-dimensional Cartesian coordinate system (three-dimensional system of Maxwell’s equations). The paper [2] proposes parallel algorithms for solving difference equations of explicit-implicit and implicit schemes for a two-dimensional system of Maxwell’s equations. The aim of this work is to describe the peculiarities of the parallel algorithm providing the efficient solution of the difference equations of an explicit-implicit scheme for a three-dimensional system of Maxwell’s equations.

Citation:
Golovashkin DL, Soifer VA. Parallel computations in the difference solution of the problem of radiation propagation in a three-dimensional optical element. Computer Optics 2000; 20: 15 - 17.

References:
  1. Golovashkin DL. A difference scheme for Maxwell's equations. Proceedings of the XI Conference “Mathematical Modeling and Boundary Value Problems”; Samara; 1999: 43-45.
  2. Golovashkin DL, Soifer VA, Shustov VA. Implementation of parallel calculations at difference solution of the equations of. mathematical physics. Proceedings of SPIE-The International Society for Optical Engineering; 2000; Vol. 3.

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