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.
A linear waveguide defined in an annular photonic crystal is shown to guide light with low group velocities, irrespective of polarization. The guided modes are shown to exhibit an almost linear dispersion in the middle range of the normalized band structure, leading to very low group velocity dispersion.