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Formation of Gaussian-Hermite modes using binary DOEs.
I. Simulation and experiment
S.N. Khonina1, V.V. Kotlyar1, V.A. Soifer1, M. Honkanen2, J.Turunen2
1Image Processing Systems Institute of RAS
2University of Joensuu, Finland

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Pages: 24-26.

Full text of article: Russian language.

Abstract:
In [1, 2], it was shown theoretically that one-dimensional Gaussian-Hermite modes (GH) can be formed efficiently by using phase binary DOEs obtained using the sign function of the corresponding Hermite polynomial. When such DOE is illuminated by a plane light beam with an optimal aperture, the required mode is formed with an efficiency of more than 80% in the far diffraction zone.
In [3], a 16-level phase DOE was produced and tested to form a GH laser mode (1,0). It was produced using the electron-beam lithography technology by etching polymethyl methacrelate coated on a quartz glass substrate. This element was designed using the iterative procedure proposed in [4]. The array dimension was 2048x2048 samples. The theoretical efficiency was 45.5%, and the efficiency measured experimentally was 37.7%.

Citation:
Khonina SN, Kotlyar VV, Soifer VA, Honkanen M, Turunen J. Formation of Gaussian-Hermite modes using binary DOEs. I. Simulation and experiment. Computer Optics 1998; 18: 24-28.

References:

  1. Kotlyar VV, Khonina SN, Soifer VA. Generalized Hermite beams in free space. Optik 1998; 108(1): 20-26.
  2. Kotlyar VV, Khonina SN, Soifer VA. Generalized Hermite beams in free space. Computer Optics 1997; 17: 31-36.
  3. Duparre М, Pavelyev V, Luedge В, Kley В, Kowarschik R, Soifer V. Forming of selected unimodal complex amplitude distributions by means of novel DOEs of MODAN-type. Proc SPIE 1997; 3134: 357-368.
  4. Golub MA, Pavelyev 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 [In Russian]. Computer Optics 1995; 14-15(2): 85-93 .

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