NUMERICAL EXPERIMENT WITH A FRESNEL LENS

N. L. Kazansky

Abstract:
A mathematical formalism and a software package were developed with the purpose of investigating the characteristics of axially symmetric focusing optical elements. The computing experiment, described here in outline, yielded a detailed intensity distribution pattern in the focal spot of the focusator under study. The software takes into account the effects of discretization and quantization of the focusator phase function. The graphical performance of the integrated computer system is illustrated by distribution curves and a spatial distribution pattern for the Fresnel diffraction at a circular aperture and a Fresnel zone lens.

References:

  1. I. N. Sisakyan and V. A. Soifer. Physical Fundamentals and Applications of Holography. LIYaF Press, Leningrad (1984).
  2. A. G. Vasin, M. A. Golub, V. A. Danilov, N. L. Kazansky, S. V. Karpeyev, I. N. Sisakyan, V. A. Soifer and F. V. Uvarov. Preprint FIAN SSSR (Physical Institute of the U.S.S.R. Academy of Sciences), No. 304, Moscow (1983).
  3. V. A. Soifer. Current Problems of Physics and its Applications, Pt. 1, p. 5. VINITI Press, Moscow (1987).
  4. M. A. Golub, N. L. Kazansky, I. N. Sisakyan and V. A. Soifer. Avtometriya, No. 5 (1987).
  5. S. T. Bobrov, G. I. Greisukh and Yu. G. Turkevich. Optics of Diffraction elements and Systems. Mashinostroyeniye, Leningrad (1986).
  6. M. Born and E. Wolf. Principles of Optics, 4th edn. Pergamon Press, Oxford (1970).
  7. Application program package for image processing and digital holography. The State Pool of Algorithms and Programs. Reg. No. P004582 dated 01.09.1980.
  8. Yu. M. Bayakovsky, A. V. Galaktionov and T. P. Mikhailova. GRAFOR—A Graphic Expansion of FORTRAN. Nauka, Moscow (1985).
  9. В. Е. Kinber and S. V. Novoselov. Radiotekh. Elektron. 30, 1469 (1985).
  10. Y. Li and E. Wolf. J. Opt. Soc. Am. AI, 801 (1984).
  11. A. S. Dementyev and D. P. Domarkene. Opt. Spektrosk. 56, 869 (1984).
  12. Y. Li and J. S. Horng. Optik 70, 127 (1985).
  13. W. H. Southwell. J. Opt. Soc. Am. 71, 7 (1981).
  14. D. Goodman. J. Opt. Soc. Am. 72, 1560 (1982).
  15. Y. P. Kathuria. Optica Applicata 14, 509 (1984).
  16. M. Bottema. J. Opt. Soc. Am. 59, 1632 (1969).

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