Open AccessProblems in inverse scattering of approximate reflection coefficient measurements
Author(s) -
Eric Kinca
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i2.5801
Subject(s) - mathematics , spectral measure , reflection (computer programming) , reflection coefficient , inverse , function (biology) , inverse scattering problem , inverse problem , mathematical analysis , measure (data warehouse) , spectral function , nonlinear system , optics , geometry , physics , quantum mechanics , condensed matter physics , biology , programming language , database , evolutionary biology , computer science
Because of the nonlinear nature of the Gelfand-Levitan equation, it may be a concern that a small difference in the reflection coefficient could lead to large changes in the corresponding potential. This paper considers this and shows that this need not be a concern. Though assumptions are made about the associated spectral measure function, these are not restrictive.