Abstract
Abstract. Waveguides play one of the key figures in today's electronics and optics for signal transmission. Corresponding simulations of electromagnetic wave transportation along these waveguides are accomplished by discretization methods such as the Finite Integration Technique (FIT) or the Finite Element Method (FEM). For longitudinally homogeneous and transversely unbounded waveguides these simulations can be approximated by closed boundaries. However, this distorts the original physical model and unnecessarily increases the size of the computational domain size. In this article we present a boundary condition for transversely open waveguides based on the Kirchhoff integral which has been implemented within the framework of FIT. The presented solution is compared with selected conventional methods in terms of computational effort and memory consumption.
Highlights
In order to quantify electromagnetic wave propagation in longitudinally homogeneous waveguides, simulations are performed on a two-dimensional domain
Unbounded waveguides such as the microstrip-line displayed in Fig. 1 or an on-chip open waveguide are often physically not enclosed by shields
The required calculation is performed on a computational domain that consists in the considered case of a face and corresponding boundary conditions, by which the solution is defined
Summary
In order to quantify electromagnetic wave propagation in longitudinally homogeneous waveguides, simulations are performed on a two-dimensional domain. Unbounded waveguides such as the microstrip-line displayed in Fig. 1 or an on-chip open waveguide are often physically not enclosed by shields. For numerical simulations a tailored boundary condition has to be considered. The two-dimensional problem of transversely unbounded waveguide can be calculated in terms of an eigenvalue problem. The required calculation is performed on a computational domain that consists in the considered case of a face and corresponding boundary conditions, by which the solution is defined. In contrary to closed waveguides, numerically efficient and physically correct representations of
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