Assessment of the Shape of an Axisymmetrical Body from Complex Eigenfrequencies
I. G. Efimova
TL;DR
This paper investigates how complex eigenfrequencies of an axisymmetrical body can serve as unique signatures to determine its shape, focusing on the ratio of its maximum transverse and longitudinal dimensions.
Contribution
It introduces a parameter derived from complex eigenfrequencies that characterizes the shape of an axisymmetrical body, providing a new method for shape assessment.
Findings
Eigenfrequencies encode shape information.
A specific shape parameter correlates with eigenfrequency signatures.
Method enables shape estimation from spectral data.
Abstract
Complex eigenfrequencies of the exterior of a scatterer are considered as signatures of the scatterer's shape. A parameter characterizing the ratio of the maximum transverse and longitudinal dimensions of a body is found.
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Taxonomy
TopicsNumerical methods in inverse problems · Optical and Acousto-Optic Technologies · Elasticity and Wave Propagation