Mode basis computation for the waveguides of arbitrary cross-section

A method for the computation of cutoffs wave numbers and the natural mode field functions for hollow uniform waveguides of arbitrary cross-section is presented. The core of this method is solution of boundary integral equations of the potential theory and a special parametrization of the contour bounding the cross section. This method is applicable to the waveguides, whose cross-section boundary curvature is either a smooth function or a function having discontinuities of the first kind.