FDTD Discrete Planewave (FDTD-DPW) Formulation for a Perfectly Matched Source in TFSF Simulations

Abstract

A technique is proposed for the generation of planewaves in the total-field scattered-field (TFSF) formulation of the FDTD method. The method is developed using the 1D properties of a planewave and optimized projection of the 3D finite difference operators to the 1D domain. The result is an efficient and accurate planewave source that can be propagated on six 1D grids concurrent with the main simulation, and that is perfectly matched to the main 2D/3D FDTD domain for any source function. Numerical simulations show that the technique is valid for any angle of propagation, and for any gridcell aspect ratio, with non-physical reflections in the scattered field domain on the order of machine precision ( 300 dB). Index Terms-Finite-difference time-domain (FDTD) methods.

Huygens Excitation in Debye Media in the FDTD Method

“…a 1-D multi-point auxiliary propagator for 2-D simulations so as to match the dispersion, in 2-D, at specific angles to the 1-D dispersion. In [4] they proposed the FDTD Discrete Plane wave formulation, where leakage error is at the level of the computer precision at any angle and frequency range, using six 1-D FDTD auxiliary grids.…”

MATLAB-aided teaching and learning in optics and photonics using the methods of computational photonics

“…Since the total-field/scattered-field (TF/SF) technique can be applied based on the well-known equivalence principle [5], the FDTD method also offers a great degree of convenience and flexibility in the excitation of various types of optics wave sources [6]. Assume, without loss of generality, that the laser beam has the electromagnetic fields, L ( , , , )…”

Comprehensive RCS Simulation of Dispersive Media Using So-FDTD-DPW Method

“…The discrete plane wave method was proposed by Tan and Potter in 2010 [16] to overcome errors generated in the IFA method from interpolation and numerical dispersion mismatch. In contrast to IFA, this method employs six 1-D auxiliary grids where each grid is used to generate one of the electric or magnetic fields.…”

“…The method used for this paper is discrete plane wave (DPW) proposed by Tan and Potter in 2007 for 1-D space [15] and then developed for 3-D [16]. In contrast to IFA method, this method uses six 1-D auxiliary grids for each field and eliminates the need for interpolation.…”