The point source method in acoustic scattering: numerical reconstruction of the scattered field from far field measurements of inhomogeneous media

Luke,; Potthast,

doi:10.1109/icassp.2002.1004677

Cited by 1 publication

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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 for inverse scattering in the time domain

Lüke

Potthast

2006

Math Methods in App Sciences

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Many recent inverse scattering techniques have been designed for single frequency scattered fields in the frequency domain. In practice, however, the data is collected in the time domain. Frequency domain inverse scattering algorithms obviously apply to time-harmonic scattering, or nearly time-harmonic scattering, through application of the Fourier transform. Fourier transform techniques can also be applied to non-timeharmonic scattering from pulses. Our goal here is twofold: first, to establish conditions on the time-dependent waves that provide a correspondence between time domain and frequency domain inverse scattering via Fourier transforms without recourse to the conventional limiting amplitude principle; secondly, we apply the analysis in the first part of this work toward the extension of a particular scattering technique, namely the point source method, to scattering from the requisite pulses. Numerical examples illustrate the method and suggest that reconstructions from admissible pulses deliver superior reconstructions compared to straight averaging of multi-frequency data.

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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%

The point source method for inverse scattering in the time domain

Lüke

Potthast

2006

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

The point source method in acoustic scattering: numerical reconstruction of the scattered field from far field measurements of inhomogeneous media

Cited by 1 publication

References 0 publications

The point source method for inverse scattering in the time domain

The point source method for inverse scattering in the time domain

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