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Design of binary dielectric gratings and one-dimensional DOEs in the framework of electromagnetic theory

L.L. Doskolovich

Image Processing Systems Institute of RAS

 PDF, 533 kB

Pages: 21-28.

Full text of article: Russian language.

Abstract:
The authors have developed a gradient method for the design of dielectric binary gratings. The method is based on using an exact differential method to solve the primal problem. Analytical matrix representations are obtained for the residual function gradient. The article provides the examples of the design of gratings for the generation of 5-11 orders with equal intensity and single-order gratings that concentrate radiation in the + 1st or –1st order. The paper considers the possibility of using singleorder gratings to design more complex focusing DOEs. It provides an example of design of highperformance binary lenses based on replacing lens zones with single-order gratings.

Citation:
Doskolovich LL. Design of binary dielectric gratings and one-dimensional DOEs in the framework of electromagnetic theory. Computer Optics 1999; 19: 21 - 28.

References:

  1. V.Soifer, V.Kotlyar, L. Doskolovich. Iterative Methods for Diffractive Optical Elements Computation. // London, Taylor&Francis Ltd, 1997.
  2. Bringdhal O., Wyrowski F. Digital holography –computer-generated holograms. // Progress in Optics, Ed. Wolf E., v.28, pp.1- 86, North Holland, Amsterdam, 1990.
  3. Bobrov ST, Greisukh GI, Turkevich YG. Optics of diffractive elements and systems. Leningrad: Mashinostroenie Publisher; 1986: 223.
  4. Y.Sheng, D.Feng, S.Larochelle. Analysis and synthesis of circular diffractive lens with local linear grating model and rigorous coupled-wave theory. // J.Opt.Soc.Am. A, 1997, 14(7), pp.1562-1568.
  5. Veldkamp W.B., Swanson G.C., Shaver D.C. High efficiency binary lenses // Optics Communic., 5 (6), 1984, pp.353-358.
  6. P. Blair, M.R. Taghizaden, W. Parkes, C.D.W. Wilkinson. High-efficiency binary fan-out gratings by modulation of a high-frequency carrier grating.// Appl.Opt., 1995, 34(14), pp.2406-2413.
  7. Z. Zhou, T.J. Drabik. Optimized binary, phaseonly, diffractive optical element with subwavelength features for 1.55µm. // J.Opt.Soc.Am. A, 1995, 12(5), pp.1104-1113.
  8. Electromagnetic Theory of Gratings: Topics in current physics, 22, Ed. by R.Petit, N.Y.: SpringerVerlag, 1980.
  9. Doskolovich LL. Gradient method for multi-order binary dielectric gratings computation in the frame of electromagnetic theory. Computer Optics 1998; 18: 82-90.
  10. M.G. Moharam, T.K. Gaylord. Diffraction analysis of dielectric surface-relief gratings. // J.Opt.Soc.Am., 1982, 72(10), pp.1385- 1392.

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