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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.37.007689


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Abstract

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-33-7689

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