1998
DOI: 10.1088/0266-5611/14/2/008
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On the information content of the radiated fields in the near zone over bounded domains

Abstract: We investigate the problem of determining the number of degrees of freedom of radiated fields. In particular, this analysis concerns the determination of the 'information content' provided by the knowledge of the field over bounded observation domains located both in the Fresnel zone and in the near zone, when only a priori information about the geometrical parameters of the planar source and of the planar observation domains is known.First, we analyse the problem with reference to a single bounded rectilinear… Show more

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Cited by 90 publications
(71 citation statements)
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References 31 publications
(62 reference statements)
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“…As first common feature, the two radiation operators A and B are compact operators [1] and accordingly, it is possible to express them by exploiting the SVD. Here, the details for the SVD of the operator A are given; of course, the same considerations hold even for the operator B.…”
Section: The Inverse Source Problemmentioning
confidence: 99%
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“…As first common feature, the two radiation operators A and B are compact operators [1] and accordingly, it is possible to express them by exploiting the SVD. Here, the details for the SVD of the operator A are given; of course, the same considerations hold even for the operator B.…”
Section: The Inverse Source Problemmentioning
confidence: 99%
“…As a common feature of the two operators, for their compactness [1,6], the relative singular values cluster to zero asymptotically (i.e., as their index tends to infinity); this entails that the related inversion problem at hand is ill-posed. Accordingly, in order to obtain a stable inversion of the operators in (1) and (3), the singular spectrum should be suitably truncated by accounting for the noise level on data [6,8].…”
Section: The Inverse Source Problemmentioning
confidence: 99%
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