Abstract
In this paper, a new concept of a mixed-order prism macroelement
is introduced for the analysis of photonic crystal slabs and waveguiding structures.
The mixed-order concept used here implies arbitrary orders of variation towards
different directions and it differs essentially from the well-known mixed-order
approximation that is an integral part of every Whitney element. The reduction
of degrees of freedom, achieved by the employment of such elements, facilitates
the solution of the resulting eigenvalue equation. Thus, an efficient 3-D
finite-element analysis tool is developed to calculate the band structure
of both symmetric and asymmetric photonic crystal slabs. Dispersion relation
results for two different types of photonic crystal waveguides are also presented,
to further verify the method.
© 2008 IEEE
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