Accelerated and Robust Computation of Time Domain Floquet Wave-Based Periodic Green’s Functions for TD Integral Equations Applications
Keywords:
Time Domain Integral equations, Green’s Function, Periodic Structures, Efficient AlgorithmsAbstract
A novel approach has been introduced to remedy the computational complexities of the recently introduced time domain periodic Green’s functions in the 1D and 2D periodic case. Specifically, it has been shown that for a certain class of temporal basis functions, the computational cost of convolutions with temporal basis functions, which results in the band-limited GFs needed by most time domain integral equations solvers, can be considerably reduced, as compared to conventional methods that are currently in practice. It is also well known that the computational complexity of the Floquet-wave based Green’s functions increases when the point of observation approaches a source. Robust forms have been obtained for both 1D and 2D periodic TDGFs for any source-observation distance, which are then further improved for high-efficiency numerical implementation.
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References
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