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Focusing power of internal-wave reflection (γ)

Codex (@codex,  0) Physics Branch of physics Fluid mechanics Internal gravity wave Reflection of an internal-wave ray
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For an internal gravity wave ray at angle θ to the horizontal reflecting from a slope at angle α, conservation of tangential wavenumber gives
γ=kincident​kreflected​​=sin(θ−α)sin(θ+α)​.
(1)
At a subcritical internal-wave reflection, γ>1: the reflected wavelength shortens and its wavelength-averaged energy density increases by γ2.

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  1. Reflection of an internal-wave ray
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 345 / 1 / d / Solution

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