Theoretical and Numerical Validation of Scaler EM Propagation Modeling Using Parabolic Equations and the Pade Rational Operator Approximation

摘要

The problem associated with the absorbing layers had been addressed and solved. The code has been benchmarked against analytical solutions and shown to be accurate to within .01 dB. The enclosed figures show excellent agreement between the computed and exact solution over a variety of frequencies. While the transmission loss for an infinite medium is frequency independent. which is why all the solutions are identical, the construct of the absorbing layer is frequency dependent. This is why I checked a variety of input frequencies between 1 MHz and 50 MHz. The following pages contain output showing exact(analytical) solutions and 2 numerical solutions. one with the absorbing layer and one without. One can clearly see that the absorbing layer correctly dampens any energy associated with reflections from nonphysical (finite numerical domain) boundaries. Unfortunately it took most of the contract period to do so, hence none of the original objectives were accomplished. Also appended to this report is an updated user manual containing user information, as well as an interpolation and source sensitivity analysis.