Title :
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
fDate :
June 29 2008-July 2 2008
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on
Conference_Location :
Odesa
Print_ISBN :
978-1-4244-2284-5
DOI :
10.1109/MMET.2008.4581058
