Exact analytic solution for oblique propagation in a piezoelectric, continuously twisted, structurally chiral medium

Research output: Contribution to journalArticle

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Abstract

A piezoelectric, continuously twisted, structurally chiral medium (PCTSCM) is a reciprocal medium whose constitutive properties vary helicoidally along its axis of spirality. After using a transformation that effectively grafts oblique propagation on axial propagation, the exact analytic solution for oblique propagation in a general PCTSCM is obtained as a uniformly convergent matrix polynomial. This attractive form will allow a comprehensive assessment of the utility of PCTSCMs for novel transducers.

Original languageEnglish (US)
Pages (from-to)225-236
Number of pages12
JournalApplied Acoustics
Volume49
Issue number3
DOIs
StatePublished - Nov 1 1996

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propagation
transducers
polynomials
matrices

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

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title = "Exact analytic solution for oblique propagation in a piezoelectric, continuously twisted, structurally chiral medium",
abstract = "A piezoelectric, continuously twisted, structurally chiral medium (PCTSCM) is a reciprocal medium whose constitutive properties vary helicoidally along its axis of spirality. After using a transformation that effectively grafts oblique propagation on axial propagation, the exact analytic solution for oblique propagation in a general PCTSCM is obtained as a uniformly convergent matrix polynomial. This attractive form will allow a comprehensive assessment of the utility of PCTSCMs for novel transducers.",
author = "Akhlesh Lakhtakia",
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language = "English (US)",
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}

Exact analytic solution for oblique propagation in a piezoelectric, continuously twisted, structurally chiral medium. / Lakhtakia, Akhlesh.

In: Applied Acoustics, Vol. 49, No. 3, 01.11.1996, p. 225-236.

Research output: Contribution to journalArticle

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AB - A piezoelectric, continuously twisted, structurally chiral medium (PCTSCM) is a reciprocal medium whose constitutive properties vary helicoidally along its axis of spirality. After using a transformation that effectively grafts oblique propagation on axial propagation, the exact analytic solution for oblique propagation in a general PCTSCM is obtained as a uniformly convergent matrix polynomial. This attractive form will allow a comprehensive assessment of the utility of PCTSCMs for novel transducers.

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