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

A method for calculating the function of the reflective diffraction grating relief in the Rayleigh approximation
V.V. Kotlyar, I.A. Pankov, V.A. Soifer

 PDF, 387 kB

Pages: 27-31.

Full text of article: Russian language.

Abstract:
Reflective diffraction gratings (DRs) are used in many applied problems of optics. In the laser technique, DRs are used to measure the power of laser beams as the radiation couplers that do not distort the beam structure [1]. They are also used as diffraction polarizers to rotate the polarization vector of laser [2] or microwave [3] beams. In 28 problems of optical information processing, DRs are used as multichannel illuminators that multiply a laser beam into N beams of equal intensity [4]. There are several approaches to the problem of calculating the light field reflected from the diffraction grating (the direct diffraction problem), these approaches vary in complexity and accuracy and include: the methods for the rigorous solution of Maxwell's electromagnetic equations with the corresponding boundary conditions [5]; a method for solving the equations of coupled waves [6]; Rayleigh method [7] and Kirchhoff scalar diffraction method [8]. In this paper, in the framework of the plane-wave representation of diffraction waves (the Rayleigh method), we consider the inverse diffraction problem, requiring to find the DR relief function by the given distribution of light intensity between diffraction orders.

Citation:
Kotlyar VV, Pankov IA, Soifer VA. A method for calculating the function of the reflective diffraction grating relief in the Rayleigh approximation. Computer Optics 1996; 16: 27-31.

References:
  1. Appolonov VV, Bochkarev EL, Zaslavsky VY. et al. Laser beam coupler on a diffraction grating. Quantum Electronics; 1979; 6(3): 615-618.
  2. Haidner H, Kipher P, Sheridan JT et al. Polarizing reflection grating beamsplitter for 10.6 μm wavelength. Opt. Eng.; 1993; 32(8): 1860-1865.
  3. Sweeney DW, Gallagher NC. Multi-element microwave computer generated holograms. SPIE Proceedings; 1988; 884: 114-119.
  4. Vassara A, Taghizadeh MR, Turunen J et al. Binary surfase-relief gratings for array illumination in digital optics. Appl. Opt.; 1992; 31(7): 3320-3336.
  5. Electromagnetic theory of graitings: Topics in current physics; Ed. by Petit R, New York: SpringerVerlag; 1980; 22.
  6. Moharam MG, Gaylord TK. Rigorous coupled-wave analysis of metallic surfase-relief gratings. J.Opt.Soc.Am.A.; 1986; 3(11): 1780-1787.
  7. Hugonin JP, Petit R, Cadilhac M. Plane wave expansions used to describe the field diffracted by a grating. J.Opt.Soc.Am.A.; 1981; 71(5): 593-597.
  8. Brekhovskikh LM. Wave diffraction by a rough surface. Journal of Experimental and Theoretical Physics; 1952; 23(3): 275-304.
  9. Vanden Berg PM, Fokkema JT. The Rayleigh hypothesis in the theory of reflection by a grating. J.Opt.Soc.Am.; 1979; 69(1): 27- 31.
  10. Smoky OI, Fabrikov VA. Methods of the theory of systems and transformations in optics; Leningrad: Nauka Publisher; 1989.
  11. 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 .

© 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