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Title: Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system

Abstract

We consider a non-Hermitian medium with a gain and loss symmetric, exponentially damped potential distribution to demonstrate different scattering features analytically. The condition for critical coupling (CC) for unidirectional wave and coherent perfect absorption (CPA) for bidirectional waves are obtained analytically for this system. The energy points at which total absorption occurs are shown to be the spectral singular points for the time reversed system. The possible energies at which CC occurs for left and right incidence are different. We further obtain periodic intervals with increasing periodicity of energy for CC and CPA to occur in this system. -- Highlights: •Energy ranges for CC and CPA are obtained explicitly for complex WS potential. •Analytical conditions for CC and CPA for PT symmetric WS potential are obtained. •Conditions for left and right CC are shown to be different. •Conditions for CC and CPA are shown to be that of SS for the time reversed system. •Our model shows the great flexibility of frequencies for CC and CPA.

Authors:
 [1];  [2]
  1. ISRO Satellite Centre (ISAC), Bangalore-560017 (India)
  2. Department of Physics, Banaras Hindu University, Varanasi-221005 (India)
Publication Date:
OSTI Identifier:
22314800
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 344; Journal Issue: Complete; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; C INVARIANCE; COUPLING; GAIN; LOSSES; PERIODICITY; POTENTIALS; SCATTERING; SINGULARITY; SYMMETRY

Citation Formats

Hasan, Mohammad, Ghatak, Ananya, and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com. Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system. United States: N. p., 2014. Web. doi:10.1016/J.AOP.2014.02.012.
Hasan, Mohammad, Ghatak, Ananya, & Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com. Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system. United States. https://doi.org/10.1016/J.AOP.2014.02.012
Hasan, Mohammad, Ghatak, Ananya, and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com. 2014. "Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system". United States. https://doi.org/10.1016/J.AOP.2014.02.012.
@article{osti_22314800,
title = {Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system},
author = {Hasan, Mohammad and Ghatak, Ananya and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com},
abstractNote = {We consider a non-Hermitian medium with a gain and loss symmetric, exponentially damped potential distribution to demonstrate different scattering features analytically. The condition for critical coupling (CC) for unidirectional wave and coherent perfect absorption (CPA) for bidirectional waves are obtained analytically for this system. The energy points at which total absorption occurs are shown to be the spectral singular points for the time reversed system. The possible energies at which CC occurs for left and right incidence are different. We further obtain periodic intervals with increasing periodicity of energy for CC and CPA to occur in this system. -- Highlights: •Energy ranges for CC and CPA are obtained explicitly for complex WS potential. •Analytical conditions for CC and CPA for PT symmetric WS potential are obtained. •Conditions for left and right CC are shown to be different. •Conditions for CC and CPA are shown to be that of SS for the time reversed system. •Our model shows the great flexibility of frequencies for CC and CPA.},
doi = {10.1016/J.AOP.2014.02.012},
url = {https://www.osti.gov/biblio/22314800}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = Complete,
volume = 344,
place = {United States},
year = {Thu May 15 00:00:00 EDT 2014},
month = {Thu May 15 00:00:00 EDT 2014}
}