Incorrect imaging condition

A more subtle source of error is related to the implementation of the modeling operator and its adjoint. In brief, conversion from the data space to the image space involves a change of coordinates from temporal frequency ($\omega$) to depth wavenumber (k_z). A correct implementation of this transformation requires weighting by the transformation Jacobian. Figures 10 and 11 show the amplitude responses of modeling followed by migration without the Jacobian. Although the angle-gathers are kinematically correct (flat), the amplitude responses are not. More details on the Jacobian weighting follow in the next section.