Title

AN INVERSE SOURCE PROBLEM IN NEAR ZERO FREQUENCY SOUNDING OF LAYERED MEDIA

Authors

Authors

C. Aiken;J. Veras

Comments

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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

WOS:000302848300002

ISSN

1583-5022

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