Shape Reconstruction of Uniformly Moving Body by its Scattering Patterns

Kusyi, O.V.; Voitovich, N. N.

doi:10.1109/eumc.2006.281195

Cited by 6 publications

(2 citation statements)

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“…Numerical experiments described in [2][3][4] show a good efficiency of the method not only for the bodies with boundaries for which the above Herglotz functions exist. It worked even for the case when interior eigenoscillation field of the body is continued with singularity outside its boundary.…”

Section: Introductionmentioning

confidence: 92%

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Computational aspects of constructing the approximating Herglotz functions in inverse scattering problems

Kusyi

Voitovich

2008

2008 13th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory

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Method proposed earlier for body reconstruction at its resonant frequencies is further developed. An attempt is made to establish the connection between the method applicability and existence of the Herglotz functions approximating the eigenoscillation field inside the body. Two propositions are given concerning convergence of the method for two cases when a Herglotz function coinciding with this field exists or not. Numerical results shoving the fast decreasing of the appropriate functional with increasing the number of measured patterns, are presented. Two ways of computer modeling of the input data are numerically compared.

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Section: Introductionmentioning

confidence: 92%

“…A method of body shape reconstruction at its resonant frequencies was proposed in [1] and developed in [2][3][4]. The method uses the property that any set of scattering patterns can be noncomplete at these frequencies.…”

Section: Introductionmentioning

confidence: 99%