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

Author(s):  
D. Russell Luke ◽  
Roland Potthast
Computation ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 120
Author(s):  
Isaac Harris

In this paper, we consider the inverse problem of recovering a sound soft scatterer from the measured scattered field. The scattered field is assumed to be induced by a point source on a curve/surface that is known. Here, we propose and analyze new direct sampling methods for this problem. The first method we consider uses a far-field transformation of the near-field data, which allows us to derive explicit bounds in the resolution analysis for the direct sampling method’s imaging functional. Two direct sampling methods are studied, using the far-field transformation. For these imaging functionals, we use the Funk–Hecke identities to study the resolution analysis. We also study a direct sampling method for the case of the given Cauchy data. Numerical examples are given to show the applicability of the new imaging functionals for recovering a sound soft scatterer with full and partial aperture data.


2012 ◽  
Vol 28 (5) ◽  
pp. 055003 ◽  
Author(s):  
Y Grisel ◽  
V Mouysset ◽  
P-A Mazet ◽  
J-P Raymond

2005 ◽  
Vol 73 (4) ◽  
pp. 598-609 ◽  
Author(s):  
Sourav Banerjee ◽  
Tribikram Kundu ◽  
Dominique Placko

In the field of nondestructive evaluation (NDE), the newly developed distributed point source method (DPSM) is gradually gaining popularity. DPSM is a semi-analytical technique used to calculate the ultrasonic field (pressure and velocity fields) generated by ultrasonic transducers. This technique is extended in this paper to model the ultrasonic field generated in multilayered nonhomogeneous fluid systems when the ultrasonic transducers are placed on both sides of the layered fluid structure. Two different cases have been analyzed. In the first case, three layers of nonhomogeneous fluids constitute the problem geometry; the higher density fluid is sandwiched between two identical fluid half-spaces. In the second case, four layers of nonhomogeneous fluids have been considered with the fluid density monotonically increasing from the bottom to the top layer. In both cases, analyses have been carried out for two different frequencies of excitation with various orientations of the transducers. As expected, the results show that the ultrasonic field is very sensitive to the fluid properties, the orientation of the fluid layers, and the frequency of excitation. The interaction effect between the transducers is also visible in the computed results. In the pictorial view of the resulting ultrasonic field, the interface between two fluid layers can easily be seen.


2011 ◽  
Author(s):  
Alexandre Vauselle ◽  
Philippe Maillot ◽  
Gaëlle Georges ◽  
Carole Deumié ◽  
David G. Seiler ◽  
...  
Keyword(s):  

1988 ◽  
Vol 24 (12) ◽  
pp. 2352-2354 ◽  
Author(s):  
R.T. Hammond

1984 ◽  
Author(s):  
G. D'Elia ◽  
G. Leone ◽  
R. Pierri ◽  
G. Schirinzi

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