Effective medium theory of the one-dimensional resonance phononic crystal

Zhi Guo Wang, Sam-Hyeon Lee, Chul Koo Kim, Choon Mahn Park, Kyun Nahm, S. A. Nikitov

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

A general theoretical scheme to describe the effective modulus and mass density for acoustic metamaterials is presented. For such a purpose, an effective medium theory of a one-dimensional acoustic waveguide containing subwavelength-sized Helmholtz resonators is formulated. It is shown that, when the wavelength is much larger than the periodic length and the size of the resonators, the whole composite structure can be treated as an effective homogeneous medium in accounting for its acoustic properties. It is also shown that the acoustic characteristics, such as the effective modulus and the effective mass density, can be determined precisely from the transmission and the reflection data. The calculated effective modulus and effective mass density confirm that this structure behaves as a homogeneous metamaterial with a negative effective modulus in a frequency range just above the resonant frequency.

Original languageEnglish
Article number055209
JournalJournal of Physics Condensed Matter
Volume20
Issue number5
DOIs
Publication statusPublished - 2008 Feb 6

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Acoustics
Metamaterials
Crystals
acoustics
Resonators
Helmholtz resonators
crystals
Acoustic properties
acoustic properties
composite structures
Composite structures
resonant frequencies
Natural frequencies
Waveguides
frequency ranges
resonators
waveguides
Wavelength
wavelengths

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Wang, Zhi Guo ; Lee, Sam-Hyeon ; Kim, Chul Koo ; Park, Choon Mahn ; Nahm, Kyun ; Nikitov, S. A. / Effective medium theory of the one-dimensional resonance phononic crystal. In: Journal of Physics Condensed Matter. 2008 ; Vol. 20, No. 5.
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Effective medium theory of the one-dimensional resonance phononic crystal. / Wang, Zhi Guo; Lee, Sam-Hyeon; Kim, Chul Koo; Park, Choon Mahn; Nahm, Kyun; Nikitov, S. A.

In: Journal of Physics Condensed Matter, Vol. 20, No. 5, 055209, 06.02.2008.

Research output: Contribution to journalArticle

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AU - Wang, Zhi Guo

AU - Lee, Sam-Hyeon

AU - Kim, Chul Koo

AU - Park, Choon Mahn

AU - Nahm, Kyun

AU - Nikitov, S. A.

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AB - A general theoretical scheme to describe the effective modulus and mass density for acoustic metamaterials is presented. For such a purpose, an effective medium theory of a one-dimensional acoustic waveguide containing subwavelength-sized Helmholtz resonators is formulated. It is shown that, when the wavelength is much larger than the periodic length and the size of the resonators, the whole composite structure can be treated as an effective homogeneous medium in accounting for its acoustic properties. It is also shown that the acoustic characteristics, such as the effective modulus and the effective mass density, can be determined precisely from the transmission and the reflection data. The calculated effective modulus and effective mass density confirm that this structure behaves as a homogeneous metamaterial with a negative effective modulus in a frequency range just above the resonant frequency.

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