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Analysis of light diffraction by microoptics elements using the integral equation solution by the finite element method

V.V. Kotlyar1, M.A. Lichmanov2

1Image Processing Systems Institute of RAS, Samara

2Samara State Aerospace University

 PDF, 396 kB

Pages: 19-22.

Full text of article: Russian language.

Abstract:
The authors develop an algorithm for solving the Fredholm integral equation of the 2nd kind using the finite element method. The problem of solving the integral equation is reduced to solving a linear system of algebraic equations by the Gauss method. The integral equation itself follows from the Green’s theorem for the Helmholtz equation and describes the diffraction of a TE-polarized plane wave by a cylindrical transparent graded-index object.

Citation:
Kotlyar VV, Lichmanov MA. Analysis of light diffraction by microoptics elements using the integral equation solution by the finite element method. Computer optics 2001; 21: 19-22.

References:
  1. Kotlyar VV, Nesterenko DV. Analysis of light diffraction by binary micro-optics using a combination of boundary element method and finite element method [In Russian]. Computer Optics 2000; 20: 10-14.
  2. Ilyinsky AS, Kravtsov VV, Sveshnikov AG. Mathematical models of electrodynamics. Moscow: "Vysshaya Shkola" Publisher; 1991.
  3. Solimeno S, Crosignani B, DiPorto P. Guiding, diffraction, and confinement of optical radiation. Orlando, FL: Academic Press Inc; 1986.
  4. Abramowitz M, Stegun IA. Handbook of mathematical functions: with formulas, graphs, and mathematical tables. New York: Dover Publications Inc; 1965.

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