Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media
Abstract
The avoided crossing behavior in the interaction of propagating sound or light waves with resonant inclusions is analyzed using a simple model of an acoustic medium containing damped massspring oscillators, which is shown to be equivalent to the Lorentz oscillator model in the elementary dispersion theory in optics. Two classes of experimental situations dictating the choice in the analysis of the dispersion relation are identified. If the wavevector is regarded as the independent variable and frequency as a complex function of the wavevector, then the avoided crossing bifurcates at an exceptional point at a certain value of the parameter γβ^{1/2}, where γ and β characterize the oscillator damping and interaction strength, respectively. This behavior is not observed if the wavevector is regarded as a complex function of frequency.
 Authors:

 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry
 Publication Date:
 Research Org.:
 Energy Frontier Research Centers (EFRC) (United States). SolidState SolarThermal Energy Conversion Center (S3TEC)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1470492
 Alternate Identifier(s):
 OSTI ID: 1421997
 Grant/Contract Number:
 SC0001299; FG0209ER46577
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Applied Physics
 Additional Journal Information:
 Journal Volume: 123; Journal Issue: 9; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 00218979
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics; synthesis (novel materials); synthesis (selfassembly); synthesis (scalable processing)
Citation Formats
Maznev, A. A. Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media. United States: N. p., 2018.
Web. doi:10.1063/1.5012999.
Maznev, A. A. Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media. United States. doi:10.1063/1.5012999.
Maznev, A. A. Wed .
"Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media". United States. doi:10.1063/1.5012999. https://www.osti.gov/servlets/purl/1470492.
@article{osti_1470492,
title = {Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media},
author = {Maznev, A. A.},
abstractNote = {The avoided crossing behavior in the interaction of propagating sound or light waves with resonant inclusions is analyzed using a simple model of an acoustic medium containing damped massspring oscillators, which is shown to be equivalent to the Lorentz oscillator model in the elementary dispersion theory in optics. Two classes of experimental situations dictating the choice in the analysis of the dispersion relation are identified. If the wavevector is regarded as the independent variable and frequency as a complex function of the wavevector, then the avoided crossing bifurcates at an exceptional point at a certain value of the parameter γβ1/2, where γ and β characterize the oscillator damping and interaction strength, respectively. This behavior is not observed if the wavevector is regarded as a complex function of frequency.},
doi = {10.1063/1.5012999},
journal = {Journal of Applied Physics},
number = 9,
volume = 123,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
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