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Advances in Applied Mathematics
Article
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Advances in Applied Mathematics
Article . 2006
License: Elsevier Non-Commercial
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Advances in Applied Mathematics
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Article . 2006
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Modeling photonic crystal fibers

Authors: Sofiane Soussi;

Modeling photonic crystal fibers

Abstract

The problem indicated in the title gives rise to a Maxwell problem. However, looking for guided waves in the \(x_3\)-direction and assuming the medium to be \(x_3\)-independent, the author is left with two scalar problems with periodic coefficients. The corresponding Green integral operators and their spectral properties are used for a characterization of guided modes. Some numerical experiments are included.

Keywords

Integral operators, integral equations, Applied Mathematics, Green's function, Antennas, waveguides in optics and electromagnetic theory, Photonic crystals, wave guides, Maxwell equations, periodic coefficients, Photonic fibers, PDEs in connection with optics and electromagnetic theory, Integral equation

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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!
12
Average
Top 10%
Top 10%
hybrid