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

    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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