Abstract
Photonic crystal fibers (PCFs) with many air holes and complicated geometries
can be difficult to analyze using conventional waveguide mode solvers such
as the finite element method. Boundary integral equation (BIE) methods are
suitable for PCFs, since they formulate eigenvalue problems only on the interfaces
and are capable of computing leaky modes accurately. To improve the efficiency,
it is desirable to have high-order BIE methods that calculate the minimum
number of functions on the interfaces. Existing BIE methods calculate two
or four functions on the interfaces, but high-order implementations are only
available for those with four functions. In this paper, a new high-order BIE
method is developed and it calculates two functions on the interfaces. Numerical
results indicate that the new BIE method achieves exponential convergence
and extremely high accuracy.
© 2012 IEEE
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