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We have applied two different theoretical approaches to AMO to find a complete definition of the integral operator (1). Biondi and Chemingui (1994) proposed cascading the DMO and inverse DMO operators to define AMO in the frequency domain. The same approach is repeated here in a simpler way by transferring the analysis to the natural time-space domain. A new contribution to the evaluation of the AMO operator follows from applying a different approach, which extends the geometric theory of DMO (Deregowski and Rocca, 1981) to the AMO case. Cascading prestack migration and modeling allows us to evaluate the AMO operator aperture. The compactness of the AMO aperture indicates that the integral operator can be performed at a low cost and therefore promises economic benefits for its practical implementation.