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

Operator description of paraxial light fields

V.V. Kotlyar1, S.N. Khonina1, Ya. Wang2

1Image Processing Systems Institute of RAS, Samara

2Beijing Institute of Technology

 PDF, 667 kB

Pages: 45-52.

Full text of article: Russian language.

Abstract:
The paper uses invariant operators to describe a paraxial light field propagating in free space or a medium with a parabolic refractive index. An integral transform (similar to the Fresnel transform) is provided that describes the propagation of light in a medium with a parabolic refractive index. The results of numerical and natural experiments on the generation of Gauss-Hermite modes using phase DOEs are presented. The difference between the experimental and theoretical results amounted to approximately 12%.

Citation:
Kotlyar VV, Khonina SN, Wang Ya. Operator description of paraxial light fields. Computer Optics 2001; 21: 45-52.

References:
  1. Miller W. Symmetry and separation of variables. Cambridge University Press; 1984.
  2. Kotlyar VV, Khonina SN, Soifer VA. Generalized Hermite beams in free space. Optik 1998; 108(1): 20-26.
  3. Kotlyar VV, Khonina SN, Soifer VA. A partial encoding technique to design phase shapers for generating Hermite-Gaussian modes [In Russian]. Avtometriya 1999; 6: 74-83.
  4. Lebedev VV, Lukyanov YN, Orlov MI, Preobrazhensky NG, Sokolovsky RI. Amplitude-phase characteristics of light beams with minimal divergence [In Russian]. Pre-print of lnstitute of Theoretical and Applied Mechanics SB RAS 1989; 16-89.
  5. Abramochkin E, Volostnikov V. Structurally stable singular wavefields. Proc SPIE 1998; 3487: 20-28.
  6. Soifer VA, ed. Methods of computer optics [In Russian]. Moscow: "Fizmatlit" Publisher; 2000.
  7. Khonina SN, Kotlyar VV, Soifer VA. Diffraction optical elements matched to the Gauss-Laguerre modes. Opt Spectrosc 1998; 85(4): 636-644.
  8. Khonina SN, Kotlyar VV, Soifer VA, Lautanen J, Honkanen M, Turunen J. Generation of Gauss-Hermite modes using binary DOEs. Proc SPIE 2000; 4016: 234-239.
  9. Pavelyev VS, Khonina SN. Fast iterative calculation of Gauss-Laguerre phase mode shapers [In Russian]. Computer Optics 1997; 17: 15-20.
  10. Khonina SN. Formation of Gaussian-Hermite modes using binary DOEs. II. Optimization of the aperture function [In Russian]. Computer Optics 1998; 18: 28-36.

© 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