Huygens Excitation in Debye Media in the FDTD Method

Abstract

Abstract-The total-field/scattered-field method, also called the Huygens surface method, is a common method to enforce an incident wave in a FDTD grid filled with a vacuum. In this paper it is shown that it can also be used in such dispersive media as the Debye media. The incident wave to be enforced on the Huygens surface is computed either by an analytical calculation in the general case or by means of the auxiliary grid technique in special cases. As in a vacuum, the leakage of energy outside the Huygens surface is lower than −40 dB with the analytical incident wave and it can be far lower with the auxiliary grid incident wave.

An Operator Absorbing Boundary Condition for the Absorption of Electromagnetic Waves in Dispersive Media

“…As expected the reflection at f = f 0 is superimposed to the Higdon operator reflection in (12). As frequency deviates from f 0 , r in (11) increases most at about normal incidence, where it is about 23% at f 0 /10.…”

“…An incident plane wave generated by the Huygens surface method [12] strikes a PEC object placed in Fat medium as depicted in Fig. 8.…”

Singularity Problem With the One-sheet Huygens Subgridding Method

“…Table I shows the error of each type of the HSG in Fig.5. The error is quantified by calculating the difference between each HSG method and the reference solution using [(10), [8]]. …”