Theory of the Time-Reversal Operator for a Dielectric Cylinder Using Separate Transmit and Receive Arrays

The DORT method applies to scattering analysis with arrays of transceivers. It consists in the study of the time-reversal invariants. In this paper, a large dielectric cylinder is observed by separate transmit and receive arrays with linear polarizations, E or H, parallel to its axis. The decomposit...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2009-08, Vol.57 (8), p.2331-2340
Main Authors: Minonzio, J.-G., Davy, M., de Rosny, J., Prada, C., Fink, M.
Format: Article
Language:English
Subjects:
Acoustic scattering
Antenna array processing
Antennas
Applied classical electromagnetism
Applied sciences
Approximation
Array signal processing
Arrays
Cylinders
Dielectrics
Diffraction, scattering, reflection
electromagnetic inverse problem
Electromagnetic scattering
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Invariants
Inverse problems
Linear antenna arrays
Linear polarization
Physics
Polarization
Radiocommunications
Radiowave propagation
Telecommunications
Telecommunications and information theory
Transceivers
Transmitters. Receivers
Underwater acoustics
Wavelengths
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Summary:The DORT method applies to scattering analysis with arrays of transceivers. It consists in the study of the time-reversal invariants. In this paper, a large dielectric cylinder is observed by separate transmit and receive arrays with linear polarizations, E or H, parallel to its axis. The decomposition of the scattered field into normal modes and projected harmonics is used to determine the theoretical time-reversal invariants. It is shown that the number of invariants is about 2 k 1 a , where a is the cylinder radius and k 1 the wave number in the surrounding medium. Furthermore, this approach provides approximated expressions of the two first invariants for a sub-resolved cylinder, i.e., when the cylinder diameter is smaller than the resolution width of the arrays. The two first invariants are also expressed in the small object limit for k 1 a. AMS subject classifications. 35B40, 35P25, 45A05, 74J20,78M35.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2009.2024496