PS-AMO in the f-k log-stretch domain

In order to implement a fast azimuth moveout operator, we use the PS-DMO operator in the frequency-wavenumber log-stretch domain (, ). The f-k log-stretch operator for PS-DMO in 3D takes the form  

 91#91 (38)

Following Vlad and Biondi's approach, we construct the PS-AMO operator in this domain. The operator takes the form of

92#92 (39)

where  

 93#93 (40)

and 94#94 is the spatial frequency vector for the midpoints coordinates (for this case, the vectors 82#82 and 95#95 are the same as presented in the previous section).

() discusses a more accurate PS-DMO operator in this domain. This new PS-DMO operator distributes the amplitudes correctly along strong dip events. This operator is just the extension of () for PS data. Using the improved operator presented by () the filter 96#96 takes the form:  

 97#97 (41)