2D Microwave Simulation Using Finite Differences

Abstract

We derive a finite difference scheme to numerically simulate the propagation of microwaves in a 2D domain with reflective obstacles. An analysis of the consistency and stability of this method is performed, leading to a rigorous justification of its convergence. Following this, we discuss the boundary conditions and derive the mathematical form for energy flux. Finally, the numerical approximation is compared against prior experimental results. The simulation was found to have been able to predict the distribution of interference maxima and minima with some accuracy, but it was seen to be less effective in predicting average intensities. The advantages and disadvantages of these techniques are then discussed along with possible avenues for improvement.