Abstract
Leaky boundary conditions are implemented in a meshless numerical method
to solve vectorial mode fields in optical waveguides which allow for the solution
of both guided and leaky modes. The modes are found using an approximating
solution, the Finite Cloud Method (FCM), to the coupled field equations of
the transverse components of the magnetic field. In this paper we extend the
method by implementing two absorbing boundary conditions, Transparent Boundary
Conditions (TBC) and Perfectly Matched Layers (PML), to solve the leaky modes
for several microstructured air hole waveguides. Presented are methods to
further refine the boundary conditions and to stabilize the solutions. A comparison
between these methods and previously published results show close agreement.
Finally, we conclude that the TBC boundary condition is the superior method
due to its robustness and lack of fitting parameters.
© 2013 IEEE
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