Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics

Altman, C.; Suchy, K.

doi:10.1007/978-94-015-7915-5

Cited by 70 publications

(48 citation statements)

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“…In general, the application of Equation (10) requires independent measurements of sources at all points in the domain and at the boundary of D. Apart from the usefulness of this relation for modeling and inversion [41,42], and for validation of numerical codes, here the primary interest is in possible applications of remote sensing without a source.…”

Section: Green's Function Retrievalmentioning

confidence: 99%

Retrieving the Green's Function From Cross Correlation in a Bianisotropic Medium

Slob¹,

Wapenaar²

2009

PIER

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Abstract-Development of theory and experiments to retrieve Green's functions from cross correlations of recorded wave fields between two receivers has grown rapidly in the last seven years. The theory includes situations with flow, 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 nonreciprocal media, the Green's function is obtained by cross correlating the recordings at two locations of fields 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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Section: Green's Function Retrievalmentioning

confidence: 99%

Retrieving the Green's Function From Cross Correlation in a Bianisotropic Medium

Slob¹,

Wapenaar²

2009

PIER

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“…Equation (11) constitutes the basis of source-incorporated 4×4 matrix formalism [19,29,30]. As is evident from this equation, the key ingredients of various system matrices α , β , Λ have been clearly identified.…”

Section: Basic Formulationmentioning

confidence: 99%

“…In view of the above complications, various authors have introduced and applied certain compact notations to simplify analysis [29][30][31]. Specifically, notation using six-vectors and six-dyadics [32] appears to be of much help in allowing general analysis with less symbols and more structured algebraic form.…”

Section: Introductionmentioning

confidence: 99%

Concise Spectral Formalism in the Electromagnetics of Bianisotropic Media

Tan¹,

Tan²

2000

PIER

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“…Another class of bi-anisotropic media is afforded by gyrotropic media, e.g., a magnetized plasma. [1,7,8]. In this case, which is characterized by a Hermitian constitutive matrix, rotation of the polarization vector along the trajectory of propagation is manifested too, but its sense (clockwise or anti-clockwise) depends on the parallelness or anti-parallelness of the direction of propagation with respect to the preferred spatial direction (e.g., the direction of the external static magnetic field in magnetized plasmas, but this can also happen in certain acoustical systems, see for example [9,10]).…”

Section: Considerationsmentioning

confidence: 99%

“…Exploiting the leading term of the asymptotic series for the Hankel functions [7], or the saddle point approximation for (8), in the far field the scattered field is represented by,…”

Section: Scattering By a Cylinder At Normal Incidencementioning

confidence: 99%