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

## TL;DR

This paper introduces Shannon entropy as a tool to evaluate spatial resolution in dielectric microcavity resonance modes, identifying optimal mesh points and their relation to wave number for improved morphological analysis.

## Contribution

It proposes a novel application of Shannon entropy to determine optimal mesh resolution in microcavity mode analysis, linking entropy saturation to mesh size and wave number.

## Key findings

- Critical mesh point correlates with quantum number identification.
- Entropy saturation indicates maximum effective mesh size.
- Critical mesh point increases with wave number.

## 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. .