29 December 1992 Inverse eigenvalue problem for a circular membrane
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Abstract
The problem of determining the density distribution of a circularly symmetric elastic membrane, fixed on the edge, from its frequencies of free vibration, is examined. An asymptotic analysis implies that a density function that is a small perturbation from a homogeneous membrane is determined, up to a finite number of parameters, by two infinite spectra of appropriate angular orders. An algorithm for reconstructing the density from the spectra is presented. The results are illustrated by numerical simulations.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Rick P. Millane, "Inverse eigenvalue problem for a circular membrane", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); doi: 10.1117/12.139048; https://doi.org/10.1117/12.139048
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