Open AccessOn the Singular Spectrum of the Radiation Operator for Multiple and Extended Observation Domains
Author(s) -
Raffaele Solimene,
Maria Antonia Maisto,
Giuseppe Romeo,
Rocco Pierri
Publication year - 2013
Publication title -
international journal of antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.282
H-Index - 37
eISSN - 1687-5877
pISSN - 1687-5869
DOI - 10.1155/2013/585238
Subject(s) - bounded function , operator (biology) , domain (mathematical analysis) , spectrum (functional analysis) , singular value , field (mathematics) , connection (principal bundle) , radiation , mathematical analysis , mathematics , computer science , physics , pure mathematics , geometry , optics , eigenvalues and eigenvectors , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene
The problem of studying how spatialdiversity impacts on the spectrum (singular values) of theradiation operator is addressed. This topic is of great importancebecause of its connection with the so-called number of degrees offreedom concept which in turn is a key parameter in inverse sourceproblems as well as to the problem of transmitting information bywaves from a source domain to an observation domain. The case of a bounded rectilinear source with theradiated field observed over multiple bounded rectilinear domainsparallel to the source is considered. Then, the analysis isgeneralized to two-dimensional extended observation domains. Analytical arguments are developed to estimate the pertinentsingular value behavior. This allows highlighting the wayobservation domain features affect spectrum behavior. Numericalexamples are shown to support the analytical results
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