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Hamiltonian ray-tracing equations

Along a ray $\mathbf x(t)$, the derivative of a field $f(\mathbf x,t)$ is
$$
\frac{df}{dt}
=\frac{\partial f}{\partial t}
+\dot{\mathbf x}\cdot\nabla f.
$$


Total derivative along a ray

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 39C / a / Solution

Total derivative along a ray

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Total derivative along a ray

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