2006
DOI: 10.1163/156939306779322503
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Analysis of the Time-reversal Operator for a Single Cylinder Under Two-dimensional Settings

Abstract: The time-reversal operator (TRO) for a cylindrical rod with circular cross section illuminated by an array of line antennas is investigated in order to locate the target and determine its electromagnetic property. In the two-dimensional settings, the number of eigenvalues of the time-reversal operator is determined by the polarization of the incident wave, as well as the composing material of the rod. This statement is proved mathematically and its physical meaning is explained in terms of the induced line cur… Show more

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Cited by 23 publications
(18 citation statements)
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References 16 publications
(15 reference statements)
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“…. , L. It is notable that, to locate all the targets, 3M must be large than the six times of the number of the targets since one target can be associated to at most six nonzero singular values [9,12,13], so that the multistatic response matrix exists zero singular values to perform the TR-MUSIC searching in theory. However, in practice, the system requires more antenna elements to achieve good performance due to the loss and noise, and so on.…”
Section: The Tr-music Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…. , L. It is notable that, to locate all the targets, 3M must be large than the six times of the number of the targets since one target can be associated to at most six nonzero singular values [9,12,13], so that the multistatic response matrix exists zero singular values to perform the TR-MUSIC searching in theory. However, in practice, the system requires more antenna elements to achieve good performance due to the loss and noise, and so on.…”
Section: The Tr-music Algorithmmentioning
confidence: 99%
“…The mainly discussed imaging methods is chronologically listed as the iterative time reversal mirror imaging (ITRMI) [1][2][3][4][5], the decomposition of time reversal operator (DORT) [6][7][8][9][10][11][12][13] and the time reversal-multiple signal classification method (TR-MUSIC) [14][15][16][17][18][19]. The iterative time reversal mirror imaging is a most direct and intuitional method for target location and imaging considering the spatial and temporal focusing characteristics of time reversal mirror.…”
Section: Introductionmentioning
confidence: 99%
“…TRM, which has been demonstrated both theoretically and experimentally in an extensive set of ultrasonic and acoustic literatures [14][15][16][17][18][19][20], as well as in recent electromagnetic studies [21][22][23][24][25][26][27][28], is widely regarded as a powerful tool for imaging, especially in the complex environment. [29] reported a preliminary application of TRM in UWB-TWRI.…”
Section: Introductionmentioning
confidence: 99%
“…Considering the features of the complex environment in TWR imaging, this communication induces the time reversal mirror (TRM) technique to TWR. The TRM has been demonstrated both theoretically and experimentally in an extensive set of ultrasonic and acoustic measurements [17][18][19][20][21][22][23], as well as in recent electromagnetic studies [24][25][26][27][28][29][30][31]. It can provide a high-resolution image in both spatial and temporal.…”
Section: Introductionmentioning
confidence: 99%