EFFICIENT COMPUTATION OF THE PERIODIC GREEN-FUNCTION IN LAYERED DIELECTRIC MEDIA

This paper presents a novel technique for the efficient computation of the periodic Green's function in layered dielectric media. The technique is based upon expanding the spectral Green's function into a finite number of inverse-transformable complex exponential functions. This enables the use of Poisson's summation formula to express the periodic Green's function as a combined sum of spectral terms and spatial terms each set of which is rapidly convergent. Numerical results are obtained for the ''on-plane'' case, in which the direct summation of the series converges extremely slowly. Using the accelerated summation formula of this paper, a computation time reduction of 160 fold is obtained. The proposed technique is useful as it can be applied to a wide class of problems where periodic structures are to be modeled.