Modeling of the hollow waveguides by Analytical Regularization: TE-modes

Mathematically strong and numerically efficient approach for the simulation of the waveguides and the cylindrical resonators of arbitrary profile in the case of H-(TE-) polarized waves is suggested. The approach is based on the new implementation of the Analytical Regularization Method. Special attention is drawn to the infinitely smooth profiles, which gives a possibility to achieve a super-algebraic (faster than any algebraic) rate of the methods´ convergence.