Total-and scattered-field decomposition technique for the finite-element time-domain method

A new finite-element time-domain (FETD) volumetric plane-wave excitation method for use with a total- and scattered-field decomposition (TSFD) is rigorously described. This method provides an alternative to the traditional Huygens´ surface approaches commonly used to impress the incident field into the total-field region. Although both the volumetric and Huygens´ surface formulations theoretically provide for zero leakage of the impressed wave into the scattered-field region, the volumetric method provides a simple path to numerically realize this. In practice, the level of leakage for the volumetric scheme is determined by available computer precision, as well as the residual of the matrix solution. In addition, the volumetric method exhibits nearly zero dispersion error with regard to the discrete incident field.