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

Diffraction by one-dimensional quasiperiodic structures
S. I. Kharitonov
Image Processing Systems Institute of RAS

 PDF, 372 kB

Pages: 10-15.

Full text of article: Russian language.

Abstract:
Diffractive optical elements that focus coherent radiation into a given region with a given intensity distribution have become widespread recently [1, 2]. There appeared a wide range of works devoted to both the calculation of the light field created by such optical elements and the solution of inverse diffraction problems. Many works use the ray optics approximation when solving diffraction problems. The ray optics approximation holds, if the width of the area or the size of one groove (when solving problems by iterative methods) on the optical element amounts to several tens of wavelengths. This condition is often not fulfilled with short-focus diffractive optical elements, as their design requires a more accurate electromagnetic approximation. At present, the problems of light diffraction by the simplest structures: diffraction gratings [1-4], a ball [4], a cylinder, and a round hole in a metal screen have been solved in the electromagnetic approximation. This is primarily due to the fact that calculating the field formed by more complex spatial structures requires large computational costs. In this regard, asymptotic methods play an important role in the theory of diffraction. This paper proposes an asymptotic method for estimating the field in case of diffraction by a binary quasiperiodic structure being a set of diffraction gratings with different periods. Convenient representations for wave fields are obtained. This approach can be effective when calculating the field formed by diffractive optical elements .

Citation:
Kharitonov SI. Diffraction by one-dimensional quasiperiodic structures. Computer Optics 1997; 17: 10-15.

References:
  1. Kok Y.L., Galagher Neal V. Relative phases of electromagnetic waves diffracted by a perfectly conducting rectangular-grooved grating // Journal of the Optical Society of America A. - 1988. -Vol.5, №1. - P. 65-73.
  2. Applied optics v 34, N 14 1995.
  3. JOSA v 12 N 5 1995.
  4. Born M, Wolf E. Basics of optics. Moscow: Nauka Publisher; 1987: 720.
  5. Golub MA, Doskolovich LL, Kazanskiy NL, Soifer VA, Kharitonov SI. Diffraction approach to the synthesis of multifunctional phase elements. Optika i Spektroskopiya. 1992; 73(1): 191-195.
  6. Veldkamp W.B., Swanson G.C., Shaver D.C. High efficiency binary lenses // Optics Communications. - 1984. - Vol.5, №6. - P.353-358.
  7. Fedoryuk MV. Asymptotics: Integrals and series. Moscow: Nauka Publisher; 1987; 544.
  8. Golub M.A., Sisakian I.N., Soifer V.A. Infra-red radiation focusators // Optics and Lasers in Engineering. - 1991. - Vol.15, №5. - P.297-309.
  9. Soifer V.A., Golub M.A. Diffractive micro-optical elements with non-point response // Proceedings SPIE. - 1992. - Vol.1751. - P.140-154 .

© 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