Acta Photonica Sinica, Volume. 34, Issue 3, 468(2005)
Degeneracy Analysis Based on the Symmetry Relations of Two-Dimensional Photonic Crystal Resonant Modes
Various resonant modes of single-point defects two-dimensional square dielectric photonic crystals cavity are calculated by using the plane-waves expansion method. The degeneracy of resonant modes is investigated based on the symmetry relation of the cavity modes. The C4v symmetry photonic crystal cavity tends to have either a pair of doubly degenerate modes or non-degenerate modes. Dipoles and hexapoles are doubly degenerate modes, a quadrupole and a monopole are non-degenerate modes, and the 90°rotated state is its orthogonal state for doubly degenerate modes. Thus, we can determine the degeneracy of modes by simply inspecting mode symmetries.
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[in Chinese]. Degeneracy Analysis Based on the Symmetry Relations of Two-Dimensional Photonic Crystal Resonant Modes[J]. Acta Photonica Sinica, 2005, 34(3): 468