A Modified Rectangular Waveguide Mesh Structure with Interpolated Input and Output Points

The rectangular waveguide mesh presents aspects of redundancy when computing the impulse response of an ideal resonator. Its structure is thus modified, to define a new structure where redundant computations and unnecessary memory consumption are removed. The modified mesh saves half of the memory and computations, meanwhile it preserves all the numerical properties of the rectangular waveguide mesh accounting for stability, direction-dependent propagation speed of the wavefronts and so on. A general method, which is derived by bilinear interpolation and deinterpolation, is adapted for generalizing the input/output point positions in the modified structure. Simulations confirm the conjectures advanced herein.