%0 Journal Article
%T Degeneracy Analysis Based on the Symmetry Relations of Two-Dimensional Photonic Crystal Resonant Modes<br>由光子晶体局域模对称关系分析其简并性
%A Department of Physics
%A Lanzhou Institute of Technology
%A Lanzhou
%A <br>孙志红
%J 光子学报
%D 2005
%I 
%X 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.
%K Photonic crystal
%K Degeneracy
%K Plane-waves expansion method
%K Resonant modes<br>光子晶体
%K 简并性
%K 平面波展开法
%K 局域模
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=9F6139E34DAA109F9C104697BF49FC39&aid=82296684E4FE23B3&yid=2DD7160C83D0ACED&vid=339D79302DF62549&iid=38B194292C032A66&sid=3FC4D669D19FF0C6&eid=7D1E6EEC2019967D&journal_id=1004-4213&journal_name=光子学报&referenced_num=6&reference_num=16