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Book Chapter

Basic Concepts

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Published:
January 01, 1994

Abstract

A space-time perturbation of any physical field that can be described by expressions (1) and (2) is called a nonstationary wave

Now consider the so-called stationary waves, changing in time as the harmonic functions. The nonstationary and stationary waves are connected under the time-frequency Fourier transform:

The wave motions correspond to some components of the more general form of motion described by equations of dynamics. That is why the substantiation of wave propagation theory can be obtained as the consequences of these exact equations. The main consequences are Fermat's principle, the law of energy flux conservation, and the reflection/transmission law. These laws are valid at the wave fronts only. However, they can give the initial approximation for different methods of perturbation theory or asymptotic expansions in the neighborhood of wave fronts (or for the high-frequency asymptotic description

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Society of Exploration Geophysicists Open File

Theory of Seismic Diffractions

Kamill Klem-Musatov
Kamill Klem-Musatov
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Franta Hron
Franta Hron
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Larry Lines
Larry Lines
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Society of Exploration Geophysicists
Volume
1
ISBN electronic:
9781560802617
Publication date:
January 01, 1994

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