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Title: 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 mass-spring 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:
 [1]
+ Show Author Affiliations
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1470492
Alternate Identifier(s):
OSTI ID: 1421997
Grant/Contract Number:  
SC0001299; FG02-09ER46577
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 0021-8979
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 (self-assembly); 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.
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Maznev, A. A.. Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media. United States. https://doi.org/10.1063/1.5012999
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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. https://doi.org/10.1063/1.5012999. https://www.osti.gov/servlets/purl/1470492.
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@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 mass-spring 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.},
doi = {10.1063/1.5012999},
journal = {Journal of Applied Physics},
number = 9,
volume = 123,
place = {United States},
year = {2018},
month = {2}
}
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https://doi.org/10.1063/1.5012999
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    Works referencing / citing this record:

    Surface acoustic wave modes in two-dimensional shallow void inclusion phononic crystals on GaAs
    journal, July 2019

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    • Journal of Applied Physics, Vol. 126, Issue 2
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    Reduced order derivation of the two-dimensional band structure of a mixed-mode resonator array
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    • Journal of Applied Physics, Vol. 124, Issue 24
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    Dissipation engineering in metamaterials by localized structural dynamics
    preprint, January 2018

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