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https://dx.doi.org/10.1155/201...
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Complex Transmission Eigenvalues in One Dimension

Complex transmission eigenvalues in one dimension
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-8 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Zhang, Yalin; Wang, Yanling; Shi, Guoliang; Liao, Shizhong;

doi: 10.1155/2014/561349

Complex Transmission Eigenvalues in One Dimension

Abstract

We consider all of the transmission eigenvalues for one-dimensional media. We give some conditions under which complex eigenvalues exist. In the case when the index of refraction is constant, it is shown that all the transmission eigenvalues are real if and only if the index of refraction is an odd number or reciprocal of an odd number.

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Keywords

Signal theory (characterization, reconstruction, filtering, etc.), Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, QA1-939, Inverse problems involving ordinary differential equations, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold