The key-role of the Poynting vector in justifying the linear sampling method

A new and very general justification of the performances of the linear sampling method is presented. The constraint expressed by the far-field equation, together with energy conservation along the flow strips (or tubes in the 3D case) of the (time-averaged) Poynting vector associated to the field wh...

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Bibliographic Details
Published in2009 IEEE Antennas and Propagation Society International Symposium pp. 1 - 4
Main Authors Aramini, R., Caviglia, G., Benedetti, M., Manica, L., Massa, A., Piana, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2009
Subjects
Acoustic scattering
Computer science
Electromagnetic scattering
Energy conservation
Equations
Inverse problems
Mathematics
Numerical simulation
Sampling methods
Vectors
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Summary:A new and very general justification of the performances of the linear sampling method is presented. The constraint expressed by the far-field equation, together with energy conservation along the flow strips (or tubes in the 3D case) of the (time-averaged) Poynting vector associated to the field whose far-field pattern is the difference between the two sides of the far-field equation, force any approximate solution of the latter to behave as indicator function for the support of the unknown scatterer, provided that this approximation is good enough and the flow lines have a regular behaviour from a neighbourhood of the sampling point z up to the far-field region.
ISBN:9781424436477
1424436478
ISSN:1522-3965
1947-1491
DOI:10.1109/APS.2009.5172174