On spherical-wave scattering by a spherical scatterer and related near-field inverse problems

Athanasiadis, Christodoulos; Martin, Ph. A.; Stratis, Ioannis G.

doi:10.1093/imamat/66.6.539

Cited by 25 publications

(41 citation statements)

References 12 publications

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“…The general scattering theorem. In this section scattering relations for 2D-point-generated elastic waves are established, with a similar procedure of related 3D results in acoustics and electromagnetics [4]- [7].…”

Section: Dyadic Scattering Relations For Point Sources 699mentioning

confidence: 99%

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Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity

2006

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Abstract. The problem of scattering of elastic waves by a bounded obstacle in twodimensional linear elasticity is considered. The scattering problems are presented in a dyadic form. An incident dyadic field generated by a point source is disturbed by a rigid body, a cavity, or a penetrable obstacle. General scattering theorems are proved, relating the far-field patterns due to scattering of waves from a point source set up in either of two different locations. The most general reciprocity theorem is established, and mixed scattering relations are also proved. Finally, a relation between the incident and the scattered wave which refers to the mechanism of energy transfer of the scatterer, the so-called optical theorem, is established.

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Section: Dyadic Scattering Relations For Point Sources 699mentioning

confidence: 99%

“…For the case of acoustic scattering, there has been recent work on incident waves generated by a point source in the vicinity of a scatterer; see, for example, [4], [5], and the references therein (especially the work by Dassios and his co-workers).…”

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confidence: 99%

Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity

2006

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“…Hence, nearfield calibrations are necessary. The effect and influence of the nearfield calibrations on farfield applications have been discussed and analyzed by various investigators (Trott, 1961(Trott, , 1964Zemanek, 1971;Van Buren, 1974, 1989Hackman and Werby, 1984;Nyborg and Steele, 1985;Gaunaurd and Werby, 1989;Athanasiadis, 2001;Cochrane, 2002;Foote et al, 2005). However, all of these publications dealt with the scenarios of either incident (radiated) field only, or scattered field only, but not both.…”

Section: Introductionmentioning

confidence: 99%

Calibration of a broadband acoustic transducer with a standard spherical target in the near field

Chu

Eastland

2015

The Journal of the Acoustical Society of America

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This paper investigates the applicability of calibrating a broadband acoustic system in the near field. The calibration was performed on a single transducer with a mono-static configuration using a single standard target, a 25-mm tungsten carbide sphere in the nearfield of both the transducer and the sphere. A theoretical model was developed to quantify the nearfield effect. Numerical simulations revealed that the frequency responses at different distances varied significantly, the null positions were essentially invariant-a unique characteristic for determination of the compressional and shear wave speeds in the calibration sphere. The calibration curves obtained in the near field could be applied to farfield once the nearfield effects were accounted for. Since the transducer was located in the near field, the signal-to-noise ratio was high, resulting in a much wider useable bandwidth than the nominal bandwidth. The resultant calibration uncertainty, i.e., root-mean-square uncertainty over the entire usable frequency band was 1.05 dB and reduces to 0.33 dB when the regions corresponding to nulls were excluded. The methods reported here could potentially be applied to the calibration of multibeam and broadband echosounder/sonar systems since it is difficult to meet the farfield condition for outermost beams when shipboard calibrations are needed.

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“…Moreover, in (5), (6), and (7) simple far-field inverse scattering algorithms were developed for the determination of the sphere's center as well as of its radius. On the other hand, point-source near-field inverse scattering problems for a small soft or hard sphere were studied in (8). For other implementations of near-field inverse problems see (9), and p. 133 of (10); also we point out the point-source inverse scattering methods analyzed in (11).…”

Section: Introductionmentioning

confidence: 99%

Inverse Scattering in the Low-Frequency Region by Using Acoustic Point Sources

Tsitsas¹

2011

Waves in Fluids and Solids

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On spherical-wave scattering by a spherical scatterer and related near-field inverse problems

Cited by 25 publications

References 12 publications

Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity

Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity

Calibration of a broadband acoustic transducer with a standard spherical target in the near field

Inverse Scattering in the Low-Frequency Region by Using Acoustic Point Sources

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