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Development of an iterative algorithm for calculating phase diffractive elements forming a single-mode distribution specified on the basis of application of the generalized projections method
M.A. Golub, V.S. Paveliev, V.A.Soifer

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Pages: 85-93.

Full text of article: Russian language.

Abstract:
In this paper, an iterative method is proposed for the synthesis of phase DOEs forming a Gaussian beam into a single-mode reference distribution on a flat bounded area (for example, at the end of an optical fiber) with the specific power of the reference mode exceeding 0.93 and the energy efficiency of 35-54% with a standard deviation of complex amplitude of 5-11 % based on the application of the mathematical method of generalized projections [3,4]. The development of a projection operator onto a multitude of mode functions by dividing the focal plane into a “useful” and an “auxiliary” area is described. It is shown that the algorithm developed reduces the total distance error. The procedure is described for choosing random pre-distortion in the auxiliary area in order to increase the rate of reduction of the total distance error. The results of numerical experiments are
presented.

Citation:
Golub MA, Paveliev VS, Soifer VA. Development of an iterative algorithm for calculating phase diffractive elements forming a single-mode distribution specified on the basis of application of the generalized projections method. Computer Optics 1995; 14-15(2): 85-93.

References:
  1. Golub MA, Sisakyan IN, Soifer VA. Modans - new elements of computer optics; Computer optics; Moscow: ICSTI; 1990; 8.
  2. Soifer VA, Golub МА. Laser Beam Mode Selection by Computer Generated Holograms; CRC Press; 1993.
  3. Stark H. Image Recovery: Theory and Application. Academic Press INC; 1987.
  4. Levi A., Stark H. Image restoration by the method of generalised projections with applications to restoration from magnitude. J. Opt. Soc. Am.; 1984; 1(2): 932-943.
  5. Gerchberg RW, Saxton WO. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik; 1972; 35: 237.
  6. Fienup JR. Iterative method applied to image reconstruction and to computer generated holograms. Proceedings of the SPIE; 1979; 207 (Applications of Digital Image Processing 3): 2-13 .

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