The multifocus moveout of Gelchinsky et al. [Gelchinsky, B., Berkovitch, A., Keydar, S., 1997. Multifocusing homeomorphic imaging: Parts I and II: Course Notes, Special Course on Homeomorphic Imaging. Seeheim, Germany] is a powerful tool for stacking multicoverage data in arbitrary configurations. Based on general ray theoretical assumptions and on attractively simple geometrical considerations, the multifocus moveout is designed to express the traveltimes of neighbouring rays arbitrarily located around a fixed central, primary reflected or even diffracted, ray. In this work, the basic derivations and results concerning the multifocus approach are reviewed. A higher-order multifocus moveout expression that generalizes the corresponding one of Gelchinsky is obtained from slight modifications of the original derivation. An alternative form of the obtained multifocus expression that is best suited for numerical implementation is also provided. By means of a simple numerical experiment, we also comment on the accuracy of the multifocus traveltime approximations.423-4319331Červený, V., The application of ray tracing to the numerical modelling of seismic wavefields in complex structures (1985) Handbook of Geophysical Exploration, pp. 1-124. , In: Dohr, G. (Ed.), Seismic Shear Waves, Part A: Theory Section I. Seismic 15, Geophysical PressDe Bazelaire, E., Normal moveout revisited: Inhomogeneous media and curved interface (1988) Geophysics, 53, pp. 143-157Gelchinsky, B., The common-reflecting-element (CRE) method (non-uniform asymmetric multifold system) (1988) Ann. Internat. Mtg., ASEG/SEG Intnl. Conf. Exploration Geophysics, pp. 71-75Gelchinsky, B., Berkovitch, A., Keydar, S., Multifocusing homeomorphic imaging: Parts I and II: Course Notes (1997) Special Course on Homeomorphic Imaging, , Seeheim, GermanyHöcht, G., (1998) Common-reflection-surface Stack, , Diplomarbeit, Universität Karlsruhe, THHubral, P., Computing true amplitude reflections in a laterally inhomogeneous earth (1983) Geophysics, 48, pp. 1051-1062Schleicher, J., Tygel, M., Hubral, P., Parabolic and hyperbolic paraxial two-point traveltimes in 3-D media (1993) Geophys. Prospect., 41, pp. 495-514Tygel, M., Müller, Th., Hubral, P., Schleicher, J., Eigenwave based multiparameter traveltime expansions (1997) Ann. Internat. Mtg., pp. 1770-1773. , Soc. Expl. Geophys., Expanded AbstractsUrsin, B., Quadratic wavefront and traveltime approximations in inhomogeneous layered media with curved interfaces (1982) Geophysics, 47, pp. 1012-1021