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arXiv 0903.4034physics.opticsquant-ph
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二维介质腔中的外共振和有效势类比

Outer Resonances and Effective Potential Analogy in Two-Dimensional Dielectric Cavities

Jinhang Cho, Inbo Kim, Sunghwan Rim, Geo-Su Yim, Chil-Min Kim

摘要:

研究了二维介质腔中的外共振作为一种准简正模,其折射率为$n>1$。外部谐振可以被验证为仅在介质盘的小开口极限中的腔外部存在的谐振。我们证实了外共振普遍存在于变形腔中,而与腔的几何形状无关,并且在轻微变形腔中外共振分裂成近简并态。同时指出有效势类比不适用于描述外共振。由于介质腔中的外共振大多具有很高的泄漏,它们会影响到态密度的宽背景。特别是对于TE偏振的情况,存在相对低泄漏的外共振,并且它呈现了它们可以与内共振相互作用并影响激光模式的可能性。

英文摘要:

Outer resonances are studied as one type of quasinormal modes in two-dimensional dielectric cavities with refractive index $n>1$. The outer resonances can be verified as the resonances which survive only outside the cavity in the small opening limit of the dielectric disk. We have confirmed that the outer resonances universally exist in deformed cavities irrespective of the geometry of cavity and they split into nearly degenerate states in slightly deformed cavity. Also we pointed out that the effective potential analogy is inapplicable to the description of outer resonances. Since most outer resonances in the dielectric cavities have quite high leakages, they would affect to the broad background in the density of states. Especially, for TE polarization case, relatively low-leaky outer resonances exist and it presents the possibility that they can interact with the inner resonances and affect lasing modes.

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