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

Generation and transmission of images over a distance by means of the Gauss-Laguerre modes
S.N. Khonina
Image Processing Systems Institute of RAS

 PDF, 2869 kB

Pages: 71-82.

Full text of article: Russian language.

Abstract:
An invariant image shall be formed in order to transmit an image over a distance through free space or a fiber. By invariant image, we mean the transverse distribution of the light field intensity, which is preserved with a precision up to the scale and rotation when propagating in space. This can be achieved by approximating the given image with a set of Gauss-Laguerre (GL) modes with the selected numbers. This article analyzes the conditions that the GL mode numbers shall satisfy in order to form stable or rotating images, as well as the images preserving their appearance in the Fourier plane. The paper provides the numerical examples of invariant images approximating a cross, a ring, a semiring, a triangle, and a segment.

Citation:
Khonina SN. Generation and transmission of images over a distance by means of the Gauss-Laguerre modes. Computer Optics 1998; 18: 71-82.

References:
  1. Vasara A, Turunen J, Friberg AT. Realization of general nondiffracting beams with computer-generated holograms. J Opt Soc Am A 1989; 6(11): 1748-1754.
  2. Khonina SN, Kotlyar VV, Soifer VA, Shinkaryev MV, Uspleniev GV. Trochoson. Opt Commun 1992; 91(3-4): 158-162.
  3. Paterson C, Smith R. Higher-order Bessel waves produced by axicon-type computer-generated holograms. Opt Commun 1996; 124: 123-130.
  4. Soifer VA, Golub MA. Laser beam mode selection by computer-generated holograms. Boca Raton: CRC Press; 1994.
  5. Khonina SN, Kotlyar VV, Soifer VA. Diffractive optical elements matched to Laguerre-Gaussian modes. Computer Optics 1997; 17: 25-31.
  6. Kotlyar VV, Khonina SN, Soifer VA. Generalized Hermite beams in free space. Optik 1998; 108(l): 20-26.
  7. Chavez-Cerda S, McDonald GS, New GHC. Non-diffracting beams: travelling, standing, rotating and spiral waves. Opt Commun 1996; 123: 225-233.
  8. Kotlyar VV, Soifer VA, Khonina SN. An algorithm for the generation of laser beams with longitudinal periodicity: rotating images. J Mod Opt 1997; 44(7): 1409-1416.
  9. Abramochkin E, Volostnikov V. Spiral-type beams. Opt Commun 1993; 102(3-4): 336-350.
  10. Kotlyar VV, Soifer VA, Khonina SN. Calculation algorithm of diffraction optical elements for generation of rotating modal images [In Russian]. Avtometriya 1997; 5: 46-54.
  11. Kotlyar VV, Khonina SN, Soifer VA. Rotation of multimode Gauss-Laguerre light beans in free space. Tech Phys Lett 1997; 23(9): 657-658.
  12. Bakharev MA, Kotlyar VV, Pavelyev VS, Soifer VA, Khonina SN. Effective excitation of ideal gradient waveguide mode packages with pregiven phase velocities. Computer Optics 1997; 17: 21-25.
  13. Abramochkin Е, Volostnikov V. Spiral-type beams: optical and quantum aspects. Opt Commun 1996; 125: 302-323.
  14. Fienup JR. Phase retrieval algorithms. A comparison. Appl Opt 1982; 21(15): 2758-2769.
  15. Yariv A. Optical electronics. New York: Kolt, Rinehart, and Winston; 1985.
  16. Adams MJ. An introduction to optical waveguides. Chichester: John Wiley & Sons; 1981 .

© 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