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Proceedings Paper

Interaction of narrow-band signal components and complex behavior of PDE characteristics in x, t-plane
Author(s): Yuriy N. Zayko
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Paper Abstract

The paper is devoted to the discussion of the complex behavior of the characteristics of the partial differential equations (PDE), in particular, the equations of nonlinear geometrical optics, in the coordinate-time plane. It is shown that the interaction of narrow-band components of a signal leads to the absence of the intersection of these characteristics. Instead the characteristics demonstrate complex (oscillating) behavior that leads to many physical consequences. Some of them, namely, the oscillation the chirped pulse duration and the gap between the regions of the "past" and "future" determined with the help of photon signals, are discussed.

Paper Details

Date Published: 8 August 2006
PDF: 3 pages
Proc. SPIE 6165, Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI, 616506 (8 August 2006); doi: 10.1117/12.696840
Show Author Affiliations
Yuriy N. Zayko, P.A. Stolypin Volga Regional Academy of State Service (Russia)


Published in SPIE Proceedings Vol. 6165:
Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI
Vladimir L. Derbov; Leonid A. Melnikov; Lev M. Babkov, Editor(s)

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