New boundary element method for CAD of quantum electron waveguide circuits

We propose an accurate and computational efficient boundary-element method (BEM) based on integral equations called guided mode extracted extracted equations (GMEIEs) for CAD electron waveguide. The features of this BEM is that it is possible to treat problems of a wide range of electron energy even in the case where electrons radiate outside the waveguide. We derive GMEIEs for an electron waveguide bend circuit. We solve the GMEIEs by the BEM in which the quadratic function is used as the basis function and the delta function as the testing function. The numerical results are checked by the conservation law of probability and the reciprocity relation. Numerical examples of the CAD of electron waveguide bends are also illustrated.