Finite-Difference Time-Domain Algorithm for Scattering from Plane-Wave Source

A two-dimensional finite-difference time-domain (FDTD) algorithm is used to generate a total-field/scattered-field plane-wave source. The generated plane wave is in the transverse magnetic mode (TM). This Demonstration shows the time evolution of the nonzero field components , and ) of the electromagnetic wave.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


The parameters describing spatial dimensions are expressed in arbitrary units. The running area of the simulation is determined by the and parameters. The number of mesh points per unit on the and axes is set by the parameters and , respectively. The time step of the simulation is set for a Courant factor . The total field area is defined by the , , and parameters. For simplicity, the permittivity and permeability of free space are set to 1. Hence, the velocity of the plane wave equals unity (), and the wavelength and period of the source are numerically equal (). The injection (propagation) angle is defined as the angle between the axis and the wave vector of the source , and is given by , where the parameters and are multiples of and , respectively.
[1] T. Tan and M. Potter, "FDTD Discrete Planewave (FDTD-DPW) Formulation for a Perfectly Matched Source in TFSF Simulations," IEEE Transactions on Antennas and Propagation, 58(8), 2010 pp. 2641–2648. doi:10.1109/TAP.2010.2050446.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.