
I have taken this part from #22, since it is a new question.
I have calculated the Kernels with (presumably) the same physical parameters as @kasra-hosseini did with the Dahlen method, and they look very similar, alas, they differ by 7 orders of magnitude (left: MC Kernel, right: MC Tony Dahlen).

Also, there are differences in the source region and with a second Fresnel zone above the kernel. On the one hand, this is something we expected, on the other hand, it might affect tomography quite significantly. Exciting times, people!