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

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 con...

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Bibliographic Details
Published in2008 12th International Conference on Mathematical Methods in Electromagnetic Theory pp. 544 - 546
Main Authors Ivanishin, M. M., Skobelev, S. P.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2008
Subjects
Acceleration
Convergence
Equations
Green's function methods
Manganese
Mathematical model
Periodic structures
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ISBN9781424422845
1424422841
ISSN2161-1734
DOI10.1109/MMET.2008.4581058

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Summary: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.
ISBN:9781424422845
1424422841
ISSN:2161-1734
DOI:10.1109/MMET.2008.4581058