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Simultaneous propagation of transverse-electric and transverse-magnetic modes through a linear waveguide defined in an annular photonic crystal in two dimensions is demonstrated. Overlapping of the two linearly-independent guided modes is achieved by the utilization of Simplex algorithm for the optimal design parameters.
Polarization-independent splitting of self-collimated transverse-electric and transverse-magnetic polarized waves in a two-dimensional square photonic crystal are demonstrated. The beam splitting is facilitated by the existence of sharp edges in flat equifrequency contours.
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