Methods for Evaluation of Certain Special Functions of Mathematical Physics in the Real Field and Their Application in the Theory of Waveguides

Author

Georgiev, Georgi Nikolov ; Georgieva-Grosse, Mariana Nikolova

Author_Institution

Fac. of Math. & Inf., Univ. of Veliko Tirnovo

Volume

1

fYear

2006

fDate

18-22 June 2006

Firstpage

271

Lastpage

274

Abstract

Methods for numerical computation of the gamma function Gamma(x), of its logarithmic derivative psi(x) and of the Kummer and Tricomi confluent hypergeometric functions Phi(a,c;x) and Psi(a,c;x), resp. for real a , c and x, are proposed. For the purpose expansions of the functions in power series around point zero are utilized. Some properties of Gamma(x) and psi(x) are employed, too. An application of the techniques is considered in the theory of azimuthally magnetized coaxial ferrite waveguides, supporting slow rotationally symmetric TE modes

Keywords

coaxial waveguides; eigenvalues and eigenfunctions; ferrite waveguides; microwave propagation; waveguide theory; Kummer confluent hypergeometric functions; Tricomi confluent hypergeometric functions; azimuthal magnetization; coaxial waveguides; eigenvalue problems; ferrite waveguides; gamma function computation; logarithmic derivative; mathematical physics; microwave guides; microwave propagation; power series; rotational symmetry; special functions; transverse electric modes; waveguide theory; Coaxial components; Electromagnetic waveguides; Ferrites; Magnetic anisotropy; Microwave devices; Numerical analysis; Perpendicular magnetic anisotropy; Physics; Tellurium; Waveguide theory; computational methods in electromagnetic theory; eigenvalue problems; ferrite devices; microwave guides and components; microwave propagation in anisotropic media; numerical analysis of special functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Transparent Optical Networks, 2006 International Conference on

Conference_Location

Nottingham

Print_ISBN

1-4244-0235-2

Electronic_ISBN

1-4244-0236-0

Type

conf

DOI

10.1109/ICTON.2006.248234

Filename

4013648