pyoculus.utils.cyl_cart_transform.xyz_jac

pyoculus.utils.cyl_cart_transform.xyz_jac(r: float, phi: float, z: float) → array

Jacobian of the map \((x, y, z) \to (r, \phi, z)\) at \((r, \phi, z)\).

\[\begin{split}J(r, \phi, z) = \begin{bmatrix} \partial_x r & \partial_y r & \partial_z r \\ \partial_x \phi & \partial_y \phi & \partial_z \phi \\ \partial_x z & \partial_y z & \partial_z z \\ \end{bmatrix}\end{split}\]