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A DOE to form a line-shaped directivity diagram

L.L. Doskolovich1,2 S.I. Kharitonov1,2 O.I. Petrova3
1Image Processing Systems Institute of RAS
2Samara State Aerospace University
3Togliatti State University

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Pages: 40 - 42.

Abstract:
The article considers the design of diffractive optical elements intended to generate one-parameter directivity diagrams in the approximation of ray optics. The authors analyze the type of the field ray structure when generating a line-shaped directivity diagram and propose curvilinear coordinates for calculating the eikonal function. In curvilinear coordinates, a new, simpler expression for the eikonal function is derived. Examples of calculating the eikonal function for generating a directivity diagram shaped as a segment and a circular arc are provided.

Keywords:
DOE, diffractive optical element, one-parameter directivity diagram, type of field ray structure, eikonal function.

Citation:
Doskolovich LL, Kharitonov SI, Petrova OI. A DOE to form a line-shaped directivity diagram. Computer Optics 2002; 24: 40-42.

References:
  1. Danilov VA, Kinber BE, Shishlov AV. Theory of coherent focusers. Computer Optics 1989; 1: 29-37.
  2. Goncharsky AV, Popov VV, Stepanov VV. Introduction to computer optics; Moscow: MSU Publisher; 1991; 310.
  3. Soifer V, Kotlyar V, Doskolovich L. Iterative methods for diffractive optical elements computations. London, Bristol: Taylor & Francis LTD; 1997.
  4. Soifer VA, ed. Methods for computer design of diffractive optical elements. New York: John Wiley & Sons Inc; 2002.
  5. Soifer VA, ed. Methods of computer optics [In Russian]. Moscow: "Fizmatlit" Publisher; 2000.
  6. Born M, Wolf E. Principles of optics: Electromagnetic theory of propagation, interference and diffraction of light. 7th ed. Cambridge: Cambridge University Press; 1999.
  7. Courant R, Hilbert D. Methods of mathematical physics. Vol II: Partial differential equations. New York: Wiley; 1962.

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