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Potential inversion from transmission data for the one-dimensional, wave equation

โœ Scribed by Rakesh

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
578 KB
Volume
25
Category
Article
ISSN
0165-2125

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๐Ÿ“œ SIMILAR VOLUMES

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Impedance inversion from transmission data for the wave equation
โœ Rakesh; Paul Sacks ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 789 KB

We study the problem of determining an unknown impedance q(x) in the wave equation q(x)~ -(q(x)u,), = 0 using transmission data u(X, t) for X 5 t 5 3X. Here u(x, t) is an impulse response function, satisfying u(n, t) = 0 for t 5 0 and -ux(O, t) = s(t), the Dirac delta function. We prove a uniqueness

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โœ Guanquan Zhang; Yu Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 464 KB

A numerical method for a nonlinear inversion problem for the 2D wave equation with a potential is discussed. In order to avoid the ill-posedness, we substitute a coupled system of one-way wave equations for the original wave equation. An iterative algorithm is constructed to improve the accuracy of