On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the translation invariant properties of the eigenvalues of scattering transmission problem.
We examine the functional derivative of the eigenvalue density function Δ(x^) to the defining index of refraction n(x).
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 ∂rΔx^=(1+nrx^)/π.
American Psychological Association (APA)
Chen, Lung-Hui. 2017. On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123147
Modern Language Association (MLA)
Chen, Lung-Hui. On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect. Advances in Mathematical Physics No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1123147
American Medical Association (AMA)
Chen, Lung-Hui. On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123147
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123147