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Inverse Scattering Theory for Wave Equations in Stratified Media

✍ Scribed by Hiroshi Isozaki

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
447 KB
Volume
138
Category
Article
ISSN
0022-0396

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✦ Synopsis

dedicated to professor kyu ya masuda on the occasion of his 60th birthday

The inverse scattering problem for the wave equation 2 t u=c(x, y) 2 2 x, y u is considered in R n

x _R 1 y , n 2. The sound speed of the background medium, c 0 ( y), takes different constant values on [ y>0] and [ y<0]. The exponentially decreasing perturbation c(x, y)&c 0 ( y) is uniquely reconstructed from the scattering matrix of an arbitrarily fixed energy.

1997 Academic Press ( Â t) 2 u=c 0 ( y) 2 2 x, y u, ( Â t) 2 u=c(x, y) 2 2 x , y u, (1.1) article no.

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