Analytical point spread functions for 3D full vectorial inverse source imaging

3D full vectorial inverse source problems can be solved by imaging principles. Point spread functions can be used to estimate the system response of imaging systems to unknown target objects. Typically, point spread functions are obtained by numerical simulations. However, this can be computationally demanding or the result might be inaccurate. In some cases, an analytical solution which does not have these drawbacks is also feasible. In this work, new analytical point spread functions have been derived for two different sets of observation data. The first set limits the observation data to a narrow angle narrow bandwidth sector and the second set assumes full spherical coverage combined with an arbitrary frequency band. The results have been verified using numerical examples and they can be employed for system simulations and accuracy investigations.