IIEEE International Conference on Acoustics Speech and Signal Processing 2002
DOI: 10.1109/icassp.2002.1004677
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The point source method in acoustic scattering: numerical reconstruction of the scattered field from far field measurements of inhomogeneous media

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“…The point-source method uses these two facts to reconstruct the scattered ÿeld on some region E outside of . This technique has been explored in References [7,[18][19][20][21][22] where it is applied to frequency-domain problems. Here we extend this methodology to non-harmonic, time-dependent waves.…”
Section: The Time-dependent Point-source Methodsmentioning
confidence: 99%
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“…The point-source method uses these two facts to reconstruct the scattered ÿeld on some region E outside of . This technique has been explored in References [7,[18][19][20][21][22] where it is applied to frequency-domain problems. Here we extend this methodology to non-harmonic, time-dependent waves.…”
Section: The Time-dependent Point-source Methodsmentioning
confidence: 99%
“…To remedy this we impose further restrictions on the decay of V and its derivatives. Using multi-index notation, these are given explicitly by @ n @t n @ |l| @x l V (x; ·) ∈ L 1 (R); |l|; n ∈ {0; 1; 2} (20) and |t|¿r @ n @t n…”
Section: Remark 25mentioning
confidence: 99%