Numerical Modelling of Electromagnetic Wave Propagation and Scattering: High-Order Schemes, Impedance Boundary Conditions and Cole-Cole Dielectrics
Final rept., 1 Jan 2002-31 Dec 2004
NEW JERSEY INST OF TECH NEWARK DEPT OFMATHEMATICS
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Paper 1 was listed in the report for Grant F49620-99-1-0072 as to appear and the work presented there was described previously. In paper 2 we presented an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. In paper 3 we conclusively addressed the long-standing issue of the long-time stability of the unsplit Perfectly Matched Layer. In paper 4 we examine the short- and long-time response of a Cole-Cole dielectric half-space subjected to a delta-function incident pulse. We find that the Cole-Cole impulse response is infinitely smooth at the wavefront short-time in contrast to the case of the Debye impulse response that is discontinuous at the wavefront.
- Electricity and Magnetism
- Radiofrequency Wave Propagation
- Numerical Mathematics