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Band-Structure and Transmittance Calculations for Phononic Crystals by the LKKR Method

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Photonic Crystals and Light Localization in the 21st Century

Part of the book series: NATO Science Series ((ASIC,volume 563))

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Abstract

We developed a multiple scattering method for the calculation of the frequency band structure of a phononic crystal consisting of non-overlapping elastic spheres arranged periodically in a host medium of different elastic properties. Using a variation of the same method we can also calculate, with the same ease and accuracy, the coefficients of transmission, reflection and absorption of elastic waves incident on a slab of the material of finite thickness. The elastic coefficients for the spheres and/or the host medium can be complex and frequency dependent. We demonstrate the effectiveness of the method by applying it to specific examples.

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© 2001 Springer Science+Business Media Dordrecht

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Psarobas, I.E., Stefanou, N., Modinos, A. (2001). Band-Structure and Transmittance Calculations for Phononic Crystals by the LKKR Method. In: Soukoulis, C.M. (eds) Photonic Crystals and Light Localization in the 21st Century. NATO Science Series, vol 563. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0738-2_36

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  • DOI: https://doi.org/10.1007/978-94-010-0738-2_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6948-6

  • Online ISBN: 978-94-010-0738-2

  • eBook Packages: Springer Book Archive

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