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Exact inverse scattering theory
Author(s) -
Bojarski Norbert N.
Publication year - 1981
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs016i006p01025
Subject(s) - slowness , mathematical analysis , mathematics , integral equation , inverse , surface (topology) , reciprocal , space (punctuation) , function (biology) , scattering , inverse scattering problem , inverse problem , physics , geometry , optics , quantum mechanics , linguistics , philosophy , evolutionary biology , biology
The concepts of reference wave slowness (reciprocal of velocity) and an associated free reference space Green's function slowness spectrum are introduced. A modified Kirchhoff surface integral, containing only the imaginary part of this free reference space Green's function slowness spectrum, is formulated, yielding an integral equation for the unknown fields and sources in the interior of a closed surface on which the (remotely sensed) fields are known. A well‐posed, analytic closed form solution of this integral equation is obtained.