Am I having a problem because the field I am trying to represent is a vector field (electric field)? From what I have read on the internet, it seems I have to either express it in terms of vector spherical harmonics with scalar coefficients, or scalar spherical harmonics with vector coefficients.
What kind of functions admit a spherical harmonic expansion? I understand that spherical harmonics provide a set of orthonormal basis functions and any 2 dimensional function expressed in spherical coordinates can be expanded in terms of spherical harmonics.
Spherical harmonic expansion coefficients for electric field
I have data for the radiation pattern of antenna, given as the theta and phi components of the electric field (E_theta, E_phi), with 0<theta<180 deg, 0<phi<360 deg.
I want to describe this data as a spherical harmonic expansion...
I have data for the radiation pattern of antenna, given as the theta and phi components of the electric field (E_theta, E_phi), with 0<theta<180 deg, 0<phi<360 deg.
I want to describe this data as a spherical harmonic expansion. So, my task is to find the spherical harmonic expansion...