RETRIEVING THE GREEN'S FUNCTION FROM CROSS CORRELATION IN A BIANISOTROPIC MEDIUM
Author(s) -
Evert Slob,
Kees Wapenaar
Publication year - 2009
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier09041004
Subject(s) - reciprocal , dissipative system , function (biology) , boundary (topology) , mathematical analysis , mathematics , correlation , physics , geometry , quantum mechanics , evolutionary biology , biology , philosophy , linguistics
Development of theory and experiments to retrieve Green's functions from cross correlations of recorded wave flelds between two receivers has grown rapidly in the last seven years. The theory includes situations with ∞ow, mechanical and electromagnetic disturbances and their mutual coupling. Here an electromagnetic theory is presented for Green's function retrieval from cross correlations that incorporates general bianisotropic media, which is the most general class of linear media. In the presence of dispersive non- reciprocal media, the Green's function is obtained by cross correlating the recordings at two locations of flelds generated by sources on a boundary. The only condition for this relation to be valid is that the medium is non-dissipative. The principle of bianisotropic Green's function retrieval by cross correlation is illustrated with a numerical example.
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