Observation of exceptional points in a spherical open elastic system

TL;DR

This paper reports the numerical identification of exceptional points in a spherical elastic system, advancing understanding of spectral singularities in non-Hermitian physics with potential practical applications.

Contribution

It introduces a depth-first search-based method to locate exceptional points in a 3D elastic system, which is a novel approach in this context.

Findings

Multiple EPs identified in parameter space

Confirmed degeneracy of scattering poles numerically

Method applicable to practical 3D models

Abstract

Exceptional points (EPs) are spectral singularities in non-Hermitian systems where eigenvalues and their corresponding eigenstates coalesce simultaneously. In this study, we calculate scattering poles in an open spherical solid and propose a depth-first search-based method to identify EPs. Using the proposed method, we numerically identify multiple EPs in a parameter space and confirm the simultaneous degeneracy of scattering poles through numerical experiments. The proposed method and findings enable the exploration of applications in practical three-dimension models.