Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain WavePropagation

摘要

In this paper the authors have introduced new representations for the logarithmicderivative of a Hankel function of real order, that scale in size as the logarithm of the order. An algorithm to compute the representations was presented and our numerical results demonstrate that the new representations are modest in size for orders and accuracies likely to be of practical interest. The present motivation for this work is the numerical modeling of nonreflecting boundaries for the wave equation, discussed briefly here and in more detail in (16). Maxwell's equations are also susceptible to similar treatment as outlined in (28). The new representations enable the application of the exact nonreflecting boundary conditions, which are global in space and time, to be computationally effective.