A quantitative sampling method for elastic and electromagnetic sources

This study introduces an innovative sampling method for reconstructing elastic and electromagnetic wave sources from far-field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are exactly the source functions. These results simultaneously establish...

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Bibliographic Details
Published inJournal of computational physics Vol. 539; p. 114251
Main Authors Liu, Xiaodong, Shi, Qingxiang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2025
Subjects
35P25
74B05
78A46
AMS subject classifications
Far field pattern
Inverse source problems
Sampling method
Inverse source problems
78A46
74B05
Far field pattern
35P25
AMS subject classifications
Sampling method
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Summary:This study introduces an innovative sampling method for reconstructing elastic and electromagnetic wave sources from far-field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are exactly the source functions. These results simultaneously establish the uniqueness of the inverse source problem and provide a theoretical justification for the sampling scheme. For practical implementation constraints involving sparse sensors and discrete frequencies, we formulate a stability estimation framework for discrete indicators. We have also proposed the indicators with partial far field patterns and proved their validity for providing the derivative information of the unknown sources. Numerical examples are presented to verify the accuracy and stability of the proposed quantitative sampling method.
ISSN:0021-9991
DOI:10.1016/j.jcp.2025.114251