Publication:
Spectral singularities of complex scattering potentials and ınfinite reflection and transmission coefficients at real energies

Thumbnail Image

Departments

School / College / Institute

Program

KU Authors

Co-Authors

Publication Date

Language

Embargo Status

NO

Journal Title

Journal ISSN

Volume Title

Alternative Title

Abstract

Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering potentials with the real energies at which the reflection and transmission coefficients tend to infinity, i.e., they correspond to resonances having a zero width. We show that a waveguide modeled using such a potential operates like a resonator at the frequencies of spectral singularities. As a concrete example, we explore the spectral singularities of an imaginary PT-symmetric barrier potential and demonstrate the above resonance phenomenon for a certain electromagnetic waveguide.

Source

Publisher

American Physical Society (APS)

Subject

Physics, Multidisciplinary

Citation

Has Part

Source

Physical Review Letters

Book Series Title

Edition

DOI

10.1103/PhysRevLett.102.220402

item.page.datauri

Link

Rights

Copyrights Note

Endorsement

Review

Supplemented By

Referenced By

0

Views

4

Downloads

View PlumX Details