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Applied Optics

Applied Optics


  • Vol. 37, Iss. 33 — Nov. 20, 1998
  • pp: 7689–7697

Dispersion relation for real-plane zeros as a concept of wave-front measurement

Valeri A. Tartakovski and Nadežda N. Mayer  »View Author Affiliations

Applied Optics, Vol. 37, Issue 33, pp. 7689-7697 (1998)

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The functional relationship between the phase logarithm and the amplitude logarithm of a wave function near its real-plane zero point is found. This result takes the form of the dispersion relation that is deduced analytically and supported by the numerical simulation of the light-wave propagation in an inhomogeneous medium. The sufficient and necessary conditions of existence of this relationship are discussed, and their validity for infinite spectra is shown.

© 1998 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.5070) Image processing : Phase retrieval

Original Manuscript: January 5, 1998
Revised Manuscript: May 27, 1998
Published: November 20, 1998

Valeri A. Tartakovski and Nadežda N. Mayer, "Dispersion relation for real-plane zeros as a concept of wave-front measurement," Appl. Opt. 37, 7689-7697 (1998)

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