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

Akhlesh Lakhtakia

doi:10.1016/S0003-682X(96)00022-9

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

Akhlesh Lakhtakia

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English (US)
Pages (from-to)	225-236
Number of pages	12
Journal	Applied Acoustics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1016/S0003-682X(96)00022-9
State	Published - Nov 1996

All Science Journal Classification (ASJC) codes

Acoustics and Ultrasonics

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10.1016/S0003-682X(96)00022-9

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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",

note = "Funding Information: This work was partially supported by a Visiting Fellowship Research Grant from the Engineeringa nd Physical SciencesR esearchC ouncil of Great Britain (EPSRC Grant Ref: GR/K76979). Financial supportf rom the Board of Trusteeso f the PennsylvaniaS tate University is also gratefully acknowledged.",

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N1 - Funding Information: This work was partially supported by a Visiting Fellowship Research Grant from the Engineeringa nd Physical SciencesR esearchC ouncil of Great Britain (EPSRC Grant Ref: GR/K76979). Financial supportf rom the Board of Trusteeso f the PennsylvaniaS tate University is also gratefully acknowledged.

PY - 1996/11

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N2 - 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.

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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U2 - 10.1016/S0003-682X(96)00022-9

DO - 10.1016/S0003-682X(96)00022-9

M3 - Article

AN - SCOPUS:0030286687

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VL - 49

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JO - Applied Acoustics

JF - Applied Acoustics

IS - 3

ER -

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

Abstract

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