On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

Lung-Hui Chen

Advances in Mathematical Physics, 2017, vol. 2017, 1-9

Abstract:

We study the translation invariant properties of the eigenvalues of scattering transmission problem. We examine the functional derivative of the eigenvalue density function to the defining index of refraction . By the limit behaviors in frequency sphere, we prove some results on the inverse uniqueness of index of refraction. In physics, Doppler’s effect connects the variation of the frequency/eigenvalue and the motion velocity/variation of position variable. In this paper, we proved the functional derivative

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3838507

DOI: 10.1155/2017/3838507

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