8 August 2006 Interaction of narrow-band signal components and complex behavior of PDE characteristics in x, t-plane
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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.
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Yuriy N. Zayko, "Interaction of narrow-band signal components and complex behavior of PDE characteristics in x, t-plane", 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; https://doi.org/10.1117/12.696840
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