A combined method for computing the field of a point source in a surface waveguide.
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Kirpichnikova, N.Ya., Philippov, V.B., Fadeeva, S.Yu. (2005)
Zapiski Nauchnykh Seminarov POMI
Filippov, V.B., Kirpichnikova, N.Ya., Vlasjuk, N.G. (2004)
Journal of Mathematical Sciences (New York)
Filippov, V.B., Kirpichnikova, N.Ya., Vlasyuk, N.G. (2004)
Journal of Mathematical Sciences (New York)
Anne-Sophie Bonnet-Bendhia, Karim Ramdani (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This paper is devoted to the spectral analysis of a non elliptic operator , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator has been derived, we determine its continuous spectrum. Then, we show that is unbounded from below and that it has a sequence of negative eigenvalues tending to . Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization, some conditions...
Anne-Sophie Bonnet-Bendhia, Karim Ramdani (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This paper is devoted to the spectral analysis of a non elliptic operator A , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator A has been derived, we determine its continuous spectrum. Then, we show that A is unbounded from below and that it has a sequence of negative eigenvalues tending to -∞. Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization, some...
Nicole Turbe, Louis Ratier (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
Nicole Turbe, Louis Ratier (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
Hacıvelioğlu, Feray, Büyükaksoy, Alinur (2009)
Mathematical Problems in Engineering
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