椭圆双折射一维磁光子晶体的局域简正模耦合和能带分裂
Local Normal Mode Coupling and Energy Band Splitting in Elliptically Birefringent 1D Magnetophotonic Crystals
摘要：
本文分析了具有一维周期性的椭圆双折射分层磁光介质中的波矢色散。研究发现，相邻层间的局域简正模偏振态差异会导致模间耦合，影响系统的波矢色散和布洛赫态特性。这种耦合在色散关系中产生了均匀圆双折射磁光分层介质中不存在的额外项。在一定条件下，简正模耦合会使带间交叉点处的简并度升高，并产生与磁化强度相关的光学带隙。本研究探讨了系统中带隙形成的条件。结果表明，这种频率分裂可以用一个简单的耦合参数来表征，该耦合参数取决于相邻层中局域简正模的偏振态之间的关系。分析了这些系统的Bloch态的性质和使能带分裂强度最大化的条件。
英文摘要：
An analysis is presented of wave-vector dispersion in elliptically birefringent stratified magneto-optic media having one-dimensional periodicity. It is found that local normal-mode polarization-state differences between adjacent layers lead to mode coupling and impact the wave-vector dispersion and the character of the Bloch states of the system. This coupling produces extra terms in the dispersion relation not present in uniform circularly birefringent magneto-optic stratified media. Normal mode coupling lifts the degeneracy at frequency band cross-over points under certain conditions and induces a magnetization-dependent optical band gap. This study examines the conditions for band gap formation in the system. It shows that such a frequency-split can be characterized by a simple coupling parameter that depends on the relation between polarization states of local normal modes in adjacent layers. The character of the Bloch states and conditions for maximizing the strength of the band splitting in these systems are analyzed.
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