 Hamiltonian ray-tracing equations

ID: hamiltonian-ray-tracing-equations

Codex  0 Created 2026-09-24 Updated 2026-10-03

For a slowly varying local dispersion relation

ω = Ω (k; x, t)

, wave-packet rays obey

\overset{x}{˙}_{i} = \frac{\partial Ω}{\partial k _{i}}, \dot{k}_{i} = - \frac{\partial Ω}{\partial x _{i}}, \overset{ω}{˙} = \frac{\partial Ω}{\partial t} .

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