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Mathematical Analysis
Optical Fiber
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Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber
Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber,10.1137/040604376,Siam Journal on Applied Mathematics,E. M. K
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Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber
(
Citations: 7
)
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E. M. Kartchevski
,
A. I. Nosich
,
G. W. Hanson
Journal:
Siam Journal on Applied Mathematics - SIAMAM
, vol. 65, no. 6, pp. 2033-2048, 2005
DOI:
10.1137/040604376
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Citation Context
(6)
...This also restricts the localization of the eigenvalues in the complex plane of the eigenparameter [
2
]...
A. Frolov
,
et al.
Natural modes of weakly guiding optical fiber
...As far as we know, the only works dealing with uniqueness in an optical waveguide setting have appeared in the Russian literature (see [Rei] [No] [NS] [
KNH
] and references therein)...
Giulio Ciraolo
,
et al.
A radiation condition for uniqueness in a wave propagation problem for...
...We notice that, if the waveguide is not rectilinear, the propagation constants β
l
become complex (see, for instance, [
9
])...
Giulio Ciraolo
.
A radiation condition for the 2-D Helmholtz equation in stratified med...
...This also restricts the localization of the eigenvalues in the complex plane of the eigenparameter [
3
]...
...All of the known natural-mode solutions (i.e., guided modes, leaky modes, and complex modes) satisfy the Reichardt condition at infinity [
3
]...
...The modal problems can be formulated as a vector eigenvalue problem for the set of differential equations (we use notations from [
3
] for differential operators)...
E. Karchevskiy
.
Numerical method for calculation of the generalized natural modes of a...
...The concept of electromagnetic resonances and eigenmodes is a natural description of microwave resonators and waveguides [1], microstrip lines [2], and other simple, often, infinite, homogeneous, or periodic structures [
3
], [4], [5]...
Neil V. Budko
,
et al.
Singular modes of the electromagnetic field
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Citations
(7)
Natural modes of weakly guiding optical fiber
A. Frolov
,
E. Karchevskiy
Conference:
International Conference on Mathematical Methods in Electromagnetic Theory - MMET
, 2010
A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides
(
Citations: 3
)
Giulio Ciraolo
,
Rolando Magnanini
Journal:
Mathematical Methods in The Applied Sciences - MATH METH APPL SCI
, vol. 32, no. 10, pp. 1183-1206, 2009
A radiation condition for the 2-D Helmholtz equation in stratified media
Giulio Ciraolo
Journal:
Communications in Partial Differential Equations - COMMUN PART DIFF EQUAT
, vol. 34, no. 12, pp. 1592-1606, 2009
Numerical method for calculation of the generalized natural modes of an inhomogeneous optical fiber
E. Karchevskiy
Conference:
International Conference on Mathematical Methods in Electromagnetic Theory - MMET
, 2008
Singular modes of the electromagnetic field
(
Citations: 2
)
Neil V. Budko
,
Alexander B. Samokhin
Journal:
Journal of Physics A-mathematical and Theoretical - J PHYS A-MATH THEOR
, vol. 40, no. 23, pp. 6239-6250, 2007