Dispersion relation for real-plane zeros as a solution of a special phase problem

Valeri A. Tartakovski; Nadezda N. Mayer

doi:10.1117/12.337029

13 January 1999 Dispersion relation for real-plane zeros as a solution of a special phase problem

Valeri A. Tartakovski, Nadezda N. Mayer

Proceedings Volume 3583, Fifth International Symposium on Atmospheric and Ocean Optics; (1999) https://doi.org/10.1117/12.337029
Event: Fifth International Symposium on Atmospheric and Ocean Optics, 1998, Tomsk, Russian Federation

Abstract

A physical phenomenon of wave propagation has certain logarithmic threshold of complexity above which the conventional description of wave process is inadequate. From this reason the real-place zeros of light wave are examined in the present paper. The probability of the real-plane zero occurrence is calculated by the numerical simulation of the light-wave propagation in an inhomogeneous medium. The functional relationship between the phase and the amplitude logarithm of the wave function near its real zero point has been found. This result takes the form of the dispersion relation, derived analytically and supported by numerical experiments.

Citation Download Citation

Valeri A. Tartakovski and Nadezda N. Mayer "Dispersion relation for real-plane zeros as a solution of a special phase problem", Proc. SPIE 3583, Fifth International Symposium on Atmospheric and Ocean Optics, (13 January 1999); https://doi.org/10.1117/12.337029

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