Advancement of Algebraic Function Approximation in Eigenvalue Problems of Lossless Metallic Waveguides to Infinite Dimensions, Part II: Transfer of Results in Finite Dimensions to Infinite Dimensions

doi:10.2528/PIER05121503

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Progress In Electromagnetics Research	ISSN: 1070-4698, E-ISSN: 1559-8985

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ADVANCEMENT OF ALGEBRAIC FUNCTION APPROXIMATION IN EIGENVALUE PROBLEMS OF LOSSLESS METALLIC WAVEGUIDES TO INFINITE DIMENSIONS, PART II: TRANSFER OF RESULTS IN FINITE DIMENSIONS TO INFINITE DIMENSIONS

By N. Yener

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Abstract:
In this phase of the attempt to advance finite dimensional algebraic function approximation technique in eigenvalue problems of lossless metallic guides filled with anisotropic and/or inhomogeneous media,to exact analysis in infinite dimensions,it is seen that the problem in infinite dimensions,can be reduced to finite dimensions,b y virtue of a result in perturbation theory. Furthermore,it is found that analysis results of algebraic function approximation,can be adapted to infinite dimensions too,at worst by introduction of some additional arguments.

Citation:
N. Yener, "Advancement of Algebraic Function Approximation in Eigenvalue Problems of Lossless Metallic Waveguides to Infinite Dimensions, Part II: Transfer of Results in Finite Dimensions to Infinite Dimensions," Progress In Electromagnetics Research, Vol. 65, 41-58, 2006.
doi:10.2528/PIER05121503
http://www.jpier.org/PIER/pier.php?paper=0512153

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