Reflection and transmission of elastic waves by a structurally chiral arrangement of identical uniaxial layers

Shiuh Kuang Yang, Vasundara V. Varadan, Akhlesh Lakhtakia, Vijay K. Varadan

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Abstract

Layered composites are constructed by stacking identical uniaxial plates, their consecutive symmetric axes describing either a right- or a left-handed spiral. A matrix representation method is used for solving the reflection and transmission characteristics of such layered composites. The field equations governing the harmonic motions of the layered composite are written as a first-order matrix ordinary differential equation, where the field variables form a 6-vector consisting of the displacement and traction components. Numerical results of the plane wave reflection and transmission characteristics for chiral arrangements are compared with those for a non-chiral arrangement. It is observed that the co-polarized characteristics are unaffected by the structural chirality, while the cross-polarized reflected and transmitted fields are greatly influenced by it.

Original languageEnglish (US)
Pages (from-to)1601-1608
Number of pages8
JournalJournal of Physics D: Applied Physics
Volume24
Issue number9
DOIs
StatePublished - Jan 1 1991

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All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

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