A new acceleration technique with exponential convergence rate to evaluate periodic Green functions

2005/01/01 by M.G. Silveirinha, Mário G. Silveirinha, C.A. Fernandes +1 · 3 citations
Materials Science · Physics and Astronomy · Engineering · #Metamaterials and Metasurfaces Applications #Orbital Angular Momentum in Optics #Antenna Design and Optimization

paper · doi:10.1109/tap.2004.838793

Abstract

We propose a new approach to compute the dynamic potential (Green function) from two- and three-dimensional periodic arrays of point sources in a three-dimensional space. The method has at least exponential convergence rate (in some cases it has Gaussian convergence rate). The convergence rate is independent of the position of the observation point in the unit cell. The proposed approach can also be used to calculate the derivatives of the Green function very efficiently.

Citations

• Die Berechnung optischer und elektrostatischer Gitterpotentiale

Cited by

• Comparative Analysis of Acceleration Techniques for 2-D and 3-D Green's Functions in Periodic Structures Along One and Two Directions
• Singular quadrature rules and fast convolutions for Fourier spectral methods
• Effective surface conductivity of optical hyperbolic metasurfaces: from far-field characterization to surface wave analysis. [europepmc]

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