For moderate and strong anisotropy, the AMO operator has a shape and size that differs considerably from the AMO operator in isotropic media. Yet the general shape of the operator for all media remains overall a skewed saddle. The difference between the isotropic and anisotropic AMO operators is noticeable even for weak anisotropy. This behavior is fundamentally different from what Alkhalifah and Biondi (1998) observed for media with vertical velocity variation. Smooth v(z) hardly alters the shape or size of the homogeneous AMO operator. Thus, the impact of anisotropy on AMO is greater than the impact of v(z), even more so than what Alkhalifah (1997c) showed for DMO. The insignificance of smooth velocity variation holds for anisotropic media as well.