Abstract
An improved full-vector finite-difference (FD) complex mode solver for
circularly symmetric optical waveguides is developed and validated. The formulations
are derived from Taylor expansion of transverse electric and magnetic fields
and match of boundary conditions at radial index discontinuities. Calculation
of the guided and leaky modes of step index fibers, Bragg fibers, and surface
plasmon polaritons structures shows significant improvement in terms of accuracy
and rate of convergence without increase of computational efforts, in comparison
with the conventional FD scheme based on the average-index approximation.
It is demonstrated that the performance of the new scheme is robust for high-order
modes and waveguides with high index contrast. Contrary to the conventional
FD solvers that claim the magnetic field formulation is more rigorous than
the electric field formulation, the improved solver yields practically identical
results for both formulations.
© 2008 IEEE
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