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

Gradient method for the design of multiorder diffraction gratings using the Rayleigh method
L.L. Doskolovich, O.I. Petrova, V.A. Soifer, S.I. Kharitonov

 PDF, 407 kB

Pages: 31-35.

Full text of article: Russian language.

Abstract:
Multi-order diffraction gratings that convert a light beam into N beams with a given intensity are used widely as the beam-splitting and multiplying devices [1-3]. In this paper, we propose a gradient method for the design of a relief profile of a multi-order ideally reflecting diffraction grating in the Rayleigh approximation. The method generalizes the available gradient algorithms for the design of diffraction gratings in the Kirchhoff approximation.

Citation:
Doskolovich LL, Petrova OI, Soifer VA, Kharitonov SI. Gradient method for the design of multiorder diffraction gratings using the Rayleigh method. Computer Optics 1996; 16: 31- 35.

References:
  1. Vassara A, Taghizaden MR, Turunen J et all. Binary surface-relief gratings for array illumination in digital optics. Appl.Opt.; 1992; 31(7): 3320-3336.
  2. Morrison RL, Walker SL, Cloonan TJ. Beam array generation and holographic interconnections in a free-space optical network. Appl.Opt.; 1993; 32: 2512-2518.
  3. Mait JN. Design of binary phase and multiphase Fourier gratings for array generation. JOSA A; 1990; 7(8): 1514-1528.
  4. Electromagnetic theory of gratings: Topics in current physics, Ed. by Petit R; New York: SpringerVerlag; 1980; 22.
  5. Gerchberg RW, Saxton WO. A practical algorithm for the determination of the phase from image and diffraction plane pictures. Optik; 1972; 35(2): 237-246.
  6. Fienup JR. Phase retrieval algorithms: a comparison. Appl. Opt.; 1982; 21(15): 2758-2769.
  7. Doskolovich LL, Soifer VA, Alessandretti G, Perlo P, Repetto P. Analytical initial approximation for multiorder binary gratings design. Pure&Appl.Opt.; 1994; 3: 921-930.
  8. Soifer VA, Kotlyar VV, Doskolovich LL. Iterative methods for diffraction optical elements computation. Tailor&Francis LTD; 1996 (accepted for publication) .

© 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