transform_vectors_sph_to_cart

transform_vectors_sph_to_cart#

transform_vectors_sph_to_cart(
*,
theta: VectorLike[float],
phi: VectorLike[float],
r: VectorLike[float],
u: ArrayLike[float],
v: ArrayLike[float],
w: ArrayLike[float],
) → tuple[NumpyArray[float], NumpyArray[float], NumpyArray[float]][source]#

Transform vectors from spherical (r, phi, theta) to Cartesian coordinates (z, y, x).

Note the “reverse” order of arrays’s axes, commonly used in geosciences.

Parameters:
thetaVectorLike[float]

Azimuthal angle in degrees [0, 360] of shape (M,).

phiVectorLike[float]

Polar (zenith) angle in degrees [0, 180] of shape (N,).

rVectorLike[float]

Distance (radius) from the point of origin of shape (P,).

uArrayLike[float]

X-component of the vector of shape (M, N, P) with length-one axes dropped.

vArrayLike[float]

Y-component of the vector of shape (M, N, P) with length-one axes dropped.

wArrayLike[float]

Z-component of the vector of shape (M, N, P) with length-one axes dropped.

Returns:
u_t, v_t, w_tnumpy.ndarray

Arrays of transformed x-, y-, z-components, respectively.