(20) * << * >> * Russian * English * Content * All Issues

The solution of Maxwell’s equations in the space-frequency representation

S.G. Volotovsky, P.G. Serafimovich, S.I. Kharitonov

Image Processing Systems Institute of RAS

Samara State Aerospace University

 PDF, 450 kB

Pages: 5-9.

Full text of article: Russian language.

Abstract:
Recently, much attention has been paid to the DOE design methods within the framework of a rigorous electromagnetic theory. The application of various difference schemes to the solution of the system of Maxwell’s equations [1] requires significant computing resources. This does not allow to design the diffractive optical elements with the aperture of more than two or three wavelengths. This article proposes a method for solving the system of Maxwell’s equations for the case of diffraction of a plane electromagnetic wave by a diffractive optical element shaped as a thin plate with a microrelief. The calculation is performed within the framework of the rigorous electromagnetic theory. The method is based on reducing the original system of Maxwell’s equations to a system of integro-differential equations. The paper presents the results of designing an electromagnetic field for the case of a plane electromagnetic wave propagation through a binary Fresnel lens.

Citation:
Volotovsky SG, Serafimovich PG, Kharitonov SI. The solution of Maxwell’s equations in the space-frequency representation. Computer Optics 2000; 20: 5 - 9.

References:
  1. Methods of computer optics edited by V.A. Soifer, Moscow: Fizmatlit; 2000: 688.
  2. Born M, Wolf E. Basics of optics. Moscow: Nauka Publisher; 1973: 856.
  3. Berezin IS, Zhidkov NP. Calculation methods; V. 1; 1962.
  4. Hemming RV. Numerical Methods [Russian translation]. Moscow: Nauka Publisher; 1972.
  5. Godunov SK, Ryabenkii VS. Difference schemes. Moscow: Nauka Publisher; 1973.

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: journal@computeroptics.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20