Shannon熵作为介质微腔模式形态空间分辨率的指标
Shannon entropy as an indicator of spatial resolution for morphology of mode pattern in dielectric microcavity
摘要：
我们提出了香农熵作为介质微腔谐振模式形态的空间分辨率的指标。我们得到两种类型的优化网点的最小和最大尺寸，分别。最小尺寸的临界网格点通过卡方检验由几乎不可识别的量子数确定，而Shannon熵的差饱和对应于最大尺寸。我们还可以证明临界网格点随着特征值轨迹的（实）波数的增加而增加，并估计它们之间的比例常数。.
英文摘要：
We present the Shannon entropy as an indicator of spatial resolution for morphology of resonance mode pattern in dielectric micro cavity. We obtain two types of optimized mesh point for the minimum and maximum sizes, respectively. The critical mesh point for the minimum size is determined by the barely identifiable quantum number through chi square test whereas the saturation of difference of the Shannon entropy corresponds to the maximum size. We can also show that the critical mesh point increases as the (real) wave number of eigenvalue trajectory increases and estimate the proportional constant between them. .
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