Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media

Maznev, A. A.

doi:10.1063/1.5012999

Title: Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media

Journal Article · 20 February 2018 · Journal of Applied Physics

DOI: https://doi.org/10.1063/1.5012999 · OSTI ID:1470492

Maznev, A. A. ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry

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.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001299; SC0001299

OSTI ID:: 1470492

Alternate ID(s):: OSTI ID: 1421997

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 9 Vol. 123; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Surface acoustic wave modes in two-dimensional shallow void inclusion phononic crystals on GaAs Muzar, Edward; Stotz, James A. H. Journal of Applied Physics, Vol. 126, Issue 2 https://doi.org/10.1063/1.5056311	journal	July 2019
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Dissipation engineering in metamaterials by localized structural dynamics Bacquet, Clemence L.; Hussein, Mahmoud I. arXiv https://doi.org/10.48550/arxiv.1809.04509	preprint	January 2018

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Title: Bifurcation of avoided crossing at an exceptional point in the dispersion of sound and light in locally resonant media

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