Title
AN INVERSE SOURCE PROBLEM IN NEAR ZERO FREQUENCY SOUNDING OF LAYERED MEDIA
Abbreviated Journal Title
Fixed Point Theory
Keywords
Frequency sounding; contraction mapping principle; asymptotic expansion; inverse Riccati equations; SCATTERING; EQUATION; Mathematics, Applied; Mathematics
Abstract
Geophysicists have long known that near-zero frequency data is insensitive to the variations of the index of refraction in a medium. Using the contraction mapping principle we are able to prove this fact for layered media. Moreover, the method of proof extracts from the data the part which is sensitive to the variation of the refractive index. We illustrate this sensitivity by reconstructing an approximate refractive index. The approximation is necessary due to the ill-posedness in the reconstruction problem.
Journal Title
Fixed Point Theory
Volume
13
Issue/Number
1
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
11
Last Page
21
WOS Identifier
ISSN
1583-5022
Recommended Citation
"AN INVERSE SOURCE PROBLEM IN NEAR ZERO FREQUENCY SOUNDING OF LAYERED MEDIA" (2012). Faculty Bibliography 2010s. 2204.
https://stars.library.ucf.edu/facultybib2010/2204
Comments
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