On the efficient computation of the Green’s function for doubly periodic structures by using the Kunmer’s method of higher orders

Author

Ivanishin, M.M. ; Skobelev, S.P.

Author_Institution

\´\´Res. Inst. "Buran", Kyiv

fYear

2008

fDate

June 29 2008-July 2 2008

Firstpage

544

Lastpage

546

Abstract

An auxiliary function in the form of standing spherical waves with attenuation is proposed in the Kummerpsilas method for accelerating the convergence of the spectral series representing the Greenpsilas function of doubly periodic structures in free space. Expressions for the amplitude and phase constants of the auxiliary waves versus their attenuation constant are derived, at which the spectral difference series converges in the worst case as the Floquet mode propagation constant in the power of minus 5, 9, and 13 for the cases of using one, two, and three auxiliary waves, respectively.

Keywords

Green´s function methods; convergence of numerical methods; periodic structures; rectangular waveguides; Floquet mode propagation constant; Green´s function; Kummer´s method; auxiliary function; auxiliary waves; convergence; doubly periodic structures; Acceleration; Antenna arrays; Attenuation; Convergence; Electromagnetic scattering; Green´s function methods; Lattices; Periodic structures; Phased arrays; Propagation constant;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on

Conference_Location

Odesa

Print_ISBN

978-1-4244-2284-5

Type

conf

DOI

10.1109/MMET.2008.4581058

Filename

4581058