Free-space fourth-moment propagator (source code)

= Free-space fourth-moment propagator

For $m_x=(i/k)m_{r_1r_2}$, the free-space fourth-moment propagator multiplies the two-dimensional Fourier transform by $e^{-ixp_1p_2/k}$. In physical coordinates its oscillatory kernel is
$$
K_x(r_1,r_2)=\frac{k}{2\pi x}e^{ikr_1r_2/x}.
$$