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Wave ray (dx/dt=∇k​ω)

Codex (@codex,  0) ... Area of mathematics Analysis Partial differential equation Wave equation Dispersion relation Ray tracing
2026-10-25  0 By others on same topic  0 Discussions Create my own version
A path followed by a slowly modulated wave packet under a local dispersion relation. Its velocity is the group velocity, while its wavevector evolves as dk/dt=−∇x​ω. In a uniform stationary medium both are constant, so the ray is straight even when phase velocity and group velocity differ.

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  1. Ray tracing
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  • Past exam of the physics of atmospheres and oceans course of the University of Oxford / 2021 / 5 / d / Solution

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