1982physica status solidi (b)Requires access

Elastic‐wave surfaces in solids

Hassel Ledbetter, R. D. Kriz

Open publisher page 20 citations

Abstract

Abstract Based on Christoffel‐equation solutions, some interesting wave‐surface topological features are described for anisotropic media. These features include crossovers of transverse—longitudinal surfaces and continuous transverse—longitudinal mode conversion over a single surface. For orthorhombic symmetry (mmm), crossovers of transverse—transverse surfaces occur for all crystals: the transverse surfaces interconnect and form a single surface. Beyond this, some orthorhombic crystals exhibit a longitudinal—transverse crossover that causes all three surfaces to interconnect into a single surface. Crossover of longitudinal and transverse surfaces means that a transverse wave velocity will exceed a longitudinal wave velocity. A longitudinal—transverse mode conversion means that both longitudinal and transverse modes exist on the same wave surface.

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What this paper is about

Abstract Based on Christoffel‐equation solutions, some interesting wave‐surface topological features are described for anisotropic media. These features include crossovers of transverse—longitudinal surfaces and continuous transverse—longitudinal mode conversion over a single surface. For orthorhombic symmetry (mmm), crossovers of transverse—transverse surfaces occur for all crystals: the transverse surfaces interconnect and form a single surface. Beyond this, some orthorhombic crystals exhibit a longitudinal—transverse crossover that causes all three surfaces to interconnect into a single surface. Crossover of longitudinal and transverse surfaces means that a transverse wave velocity will exceed a longitudinal wave velocity. A longitudinal—transverse mode conversion means that both longitudinal and transverse modes exist on the same wave surface.

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Available abstract

Abstract Based on Christoffel‐equation solutions, some interesting wave‐surface topological features are described for anisotropic media. These features include crossovers of transverse—longitudinal surfaces and continuous transverse—longitudinal mode conversion over a single surface. For orthorhombic symmetry (mmm), crossovers of transverse—transverse surfaces occur for all crystals: the transverse surfaces interconnect and form a single surface. Beyond this, some orthorhombic crystals exhibit a longitudinal—transverse crossover that causes all three surfaces to interconnect into a single surface. Crossover of longitudinal and transverse surfaces means that a transverse wave velocity will exceed a longitudinal wave velocity. A longitudinal—transverse mode conversion means that both longitudinal and transverse modes exist on the same wave surface.

Key concepts: Transverse plane, Transverse wave, Longitudinal mode, Transverse mode, Anisotropy, Longitudinal wave, Physics, Orthorhombic crystal system

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