Abstract
This paper introduces the matched interface and boundary (MIB) method
for the eigenmode analysis of two dimensional step-index waveguides. The MIB
method distinguishes itself from other existing interface methods by avoiding
the use of the Taylor series expansion and by introducing the concept of the
iterative use of low-order jump conditions. The difficulty associated with
other interface approaches in extending to ultrahigh order is thus bypassed
in the MIB method. In solving rectangular waveguide with a single straight
interface, the MIB interface treatment can be carried out systematically so
that the resulting scalar approach is of arbitrarily high order, in principle.
Orders up to 12 are confirmed numerically for both transverse magnetic and
transverse electric modes. In dealing with rectangular waveguide with a dielectric
corner, a novel full-vectorial MIB method is proposed, in which an advanced
corner handling technique is applied to accommodate the singular behavior
of field near the corner. Benchmark problems are employed to validate the
proposed full-vectorial approach. Higher order convergence is achieved numerically.
© 2008 IEEE
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