Shannon entropy as an indicator of spatial resolution for morphology of mode pattern in dielectric microcavity

Abstract: 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. .