Engineering isospectrality in multidimensional photonic systems: Multidimensional quasi-isospectrality in photonics.

ABSTRACT: Selective manipulation of energy levels plays an essential role in realizing multichannel wave devices. One of the representative examples is to utilize the concept of quasi-isospectrality: a family of wave systems with an almost identical spectrum except for a part of energy levels. Most approaches toward quasi-isospectrality have employed analytical methods based on symmetry or tridiagonalization, such as supersymmetry, Householder, or Lanczos transformations. Although such analytical approaches provide deterministic and stable designs based on operator factorizations, the mathematical strictness in the factorizations, at the same time, hinders isospectral engineering in a given multidimension. Here we develop the semi-analytical method for engineering isospectrality in multidimensional

SUBMITTER: Lee D 

PROVIDER: S-EPMC11501229 | biostudies-literature | 2023 Jun

REPOSITORIES: biostudies-literature