Diffractive optical power of a square diaphragm
I.G. Palchikova, S.G. Rautian

Technological Design Institute of Scientific Instrument Engineering,

Novosibirsk State University

Full text of article: Russian language.

Abstract:
The concept of diffractive optical power is extended over the case of a square diaphragm and of the negative Fresnel numbers for the incident wave. The accurate interpolation formula for the image location is represented. It contains the additional factor describing the dependence of the optical power on the incident wave front curvature. The high precision of the approximation is the conclusive evidence for the correctness of the physical model for the focusing action of the diaphragms.

Key words:
focal shift, lens formula, Fresnel number, Fresnel diffraction pattern.

References:

  1. Kogelnik, H. Imaging of optical mode-resonators with internal lenses / H. Kogelnik // Bell Syst. Tech. J., 1965. –Vol. 44. – p.  455 - 494.
  2. Isaev, A.A. Gaussian beam evolution and the pulse generation in the lasers with unstable resonators / A. A. Isaev, M. A. Kazaryan, G. G. Petrash, S. G. Rautian, A. M. Shalagin // Kvantovaya Elektronika, 1975. – Vol. 2. – p. 1125 - 1130.
  3. Wolf, E. Focal shift in diffracted converging spherical waves / Y. Li, E. Wolf // Opt. Commun., 1981. – Vol. 39. – p. 211 - 215.
  4. Szapiel, S. Marechal intensity formula for small-Fresnel-number systems / S. Szapiel // Opt. Lett., 1983. – Vol. 8. – p. 327 - 329.
  5. Li, Y. Focal shift formulae/ Y. Li // Optik, 1984. – Vol. 69. – p. 41 - 42.
  6. Li, Y. A high-accuracy formula for fast evaluation of the effect of focal shift / Y. Li // Journal of Modern Optics, 1991. – Vol. 38. – p. 1815 - 1819.
  7. Jiang, X. Optimum image plane of the pinhole camera / X. Jiang, Q. Lin, S. Wang // Optik, 1994. – Vol. 97. – p. 41 - 42.
  8. Wolf, E. Far-zone behaviour of focused field in system with different Fresnel numbers / W. Wang, E. Wolf // Opt. Commun., 1995. – Vol. 119. – p. 453 - 459.
  9. Palchikova, I. G. Diffraction shift of an image/ I. G. Palchikova, S. G. Rautian // Optics and Spectroscopy, 1999. – Vol. 87. – p. 510 - 519.
  10. Palchikova, I. G. Diffraction optical strength of circular and square apertures/ I. G. Palchikova, S. G. Rautian // Optoelectronics, Instrumentation & Data Processing, 1999. – N5. – p. 10 - 16.
  11. Oeuvres compeletes d’August Fresnel, pabliees pas M. M. Henride Senarmont, Emil Verdet et Leonor Fresnel. – Paris, 1866 – T.I, N XIV.
© 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