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A compact wave source condition for the pseudospectral time-domain method [EM wave propagation applications]

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2 Author(s)
Tae-Woo Lee ; Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA ; Hagness, S.C.

An incident wave source condition that specifies the field at a single grid point is problematic for the pseudospectral time-domain (PSTD) method because of the spatial Fourier transforms inherent in the algorithm. Previously, it had been suggested in the literature that a spatially smoothed source spanning several grid cells in each direction was required to avoid aliasing errors, referred to as Gibbs phenomena. Here, we show that a spatially compact wave source condition, spanning only two spatial grid cells in each direction, eliminates the numerical artifacts induced by this aliasing/Gibbs effect. We demonstrate the successful implementation of this source condition in two practical PSTD modeling examples: fundamental mode excitation in a dielectric slab waveguide and cylindrical wave excitation via an infinite electric line source in a two-dimensional grid.

Published in:

Antennas and Wireless Propagation Letters, IEEE  (Volume:3 ,  Issue: 1 )