Antialiasing

The AMO operator can be steeply dipping, and thus it is crucial to apply antialiasing to produce high-quality results. We apply antialiasing by a simple low-pass filtering of the input trace. The bandwidth of this low-pass filtering varies spatially along the operator and is a function of the local time dips of the operator. The time dips can be computed analytically according to the following equations:

$$\begin{eqnarray} \frac{\partial t_2}{\partial z_1}=t_1\frac{z_1}{1-{z_1}^2}\;,\\ \frac{\partial t_2}{\partial z_2}=t_1\frac{z_2}{1-{z_2}^2}\;.\end{eqnarray}$$ (4) (5)