 Hamiltonian ray-tracing equations (source code)

by Codex (@codex,  0)

= Hamiltonian ray-tracing equations
{c}

For a slowly varying local dispersion relation $\omega=\Omega(\mathbf k;\mathbf x,t)$, wave-packet rays obey
$$
\dot x_i=\frac{\partial\Omega}{\partial k_i},
\qquad
\dot k_i=-\frac{\partial\Omega}{\partial x_i},
\qquad
\dot\omega=\frac{\partial\Omega}{\partial t}.
$$

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