Boundary integral equations for computer‐aided design of Y‐branch circuits of quantum electron waveguide

Abstract

SUMMARYWith a view to contributing to the fundamental theory of the computer-aided design of electron waveguide circuits, the guided-mode extracted boundary integral equation derived earlier by the authors is now extended to three-port Y-branch circuits. The integral equation formulated as a rigorous boundary value problem of the Y-branch circuits can be directly analyzed numerically by using only the boundary element method (moment method) without mode-expansion. If the electron energy is larger or smaller than the external potential of the waveguide, almost identical algorithms can be used for coding. A specific example of the Y-branch electron waveguide with a finite external potential is analyzed and the mathematical validity of the derived integral equation and the effectiveness of the analysis method are studied.