Fast calculation of the Green's functions of a boxed resonator through Ewald's technique

A. A. San Blas; A. Coves; M. Bressan; Vincente E. Boria; B. Gimeno; J. V. Morro

doi:10.1117/12.560140

7 April 2004 Fast calculation of the Green's functions of a boxed resonator through Ewald's technique

A. A. San Blas, A. Coves, M. Bressan, Vincente E. Boria, B. Gimeno, J. V. Morro

Proceedings Volume 5445, Microwave and Optical Technology 2003; (2004) https://doi.org/10.1117/12.560140
Event: Microwave and Optical Technology 2003, 2003, Ostrava, Czech Republic

Abstract

A novel technique for the fast calculation of the scalar and dyadic Green's functions of a rectangular cavity resonator is presented. The integral equations satisfied by the quasi-static Green's functions are efficiently solved by combining classical image theory and a decomposition strategy: the proposed technique expresses the electric and magnetic potential produced by the periodic set of images in terms of two rapidly convergent series. The key feature of the presented method lies in the introduction of an auxiliar distribution of Gaussian sources which makes the convergence of the periodic potential to be exponential, thus dramatically reducing the computation effort of the implemented tool. Consequently, the proposed approach becomes an essential algorithm to be readily used in computer-aided-design tools for the efficient electromagnetic characterization of passive microwave devices.

Citation Download Citation

A. A. San Blas, A. Coves, M. Bressan, Vincente E. Boria, B. Gimeno, and J. V. Morro "Fast calculation of the Green's functions of a boxed resonator through Ewald's technique", Proc. SPIE 5445, Microwave and Optical Technology 2003, (7 April 2004); https://doi.org/10.1117/12.560140

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