Elliptical anisotropy may be considered a more general case of isotropy, in which the medium has been stretched in one direction (Helbig, 1983; Dellinger and Muir, 1988; Verwest, 1989). As a consequence, certain principles and relationships hold for both isotropy, where wavefronts are circular, and elliptical anisotropy, where the wavefronts are circles which have been stretched in one direction (i.e., ellipses); while they may not hold for the general case of anisotropy, where wavefronts have more complex shapes. Examples are the dip moveout (DMO) relation (Uren et al., 1990) and the method of images (Dellinger and Muir, 1988).
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Uren et al. (1990) studied this question.