Showing physics.opticsShow all
3 papers · 1 filter
physics.optics2025
Topological photonics of generalized and nonlinear eigenvalue equations
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Topological photonics is developed based on the analogy of Schrödinger equation which is mathematically reduced to a standard eigenvalue equation. Notably, several photonic systems…
physics.optics2024
Band structures of generalized eigenvalue equation and conic section
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Band structures of several metamaterials are described by generalized eigenvalue equations where complex bands emerge even if the involved matrices are Hermitian. In this paper, we…
physics.optics2021
Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
So far, topological band theory is discussed mainly for systems described by eigenvalue problems. Here, we develop a topological band theory described by a generalized eigenvalue p…