abstract:In mathematical physics, more specific in the one-dimensional inverse scattering problem, the Marchenko equation, named after Vladimir Marchenko, is derived by computing the Fourier transform of the scattering relation:
Itfollows that themainadditionalrequirementis that themulticomponentdirect arrival, needed to initiate the iterativesolutionof the Marchenkoequation, includesthe forward-scatteredfield.