aspcol.planewaves.shd_coeffs_for_planewave

aspcol.planewaves.shd_coeffs_for_planewave(pw_direction, max_order)

Spherical harmonic coefficients for a plane wave exp(-ikr^T d) where r is the position and d is the direction of the plane wave.

The expansion center is assumed to be at the origin.

Parameters:
  • pw_direction (ndarray of shape (num_pw, 3)) – The direction of the plane wave. Must be a unit vector

  • max_order (int) – The maximum order of the spherical harmonics expansion

Returns:

shd_coeffs – The spherical harmonic coefficients for the plane wave

Return type:

ndarray of shape (num_pw, num_coeffs)