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

PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription