Geodesic
Equations for a wave front, rays, and a phase function near a regular region of the caustic formed by space-time rays
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 92-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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Near a caustic, asymptotic formulas are obtained for the equations of a wave front and a phase function by means of a modification of the space-time ray method. 
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     author = {N. Ya. Kirpichnikova},
     title = {Equations for a~wave front, rays, and a~phase function near a~regular region of the caustic formed by space-time rays},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {92--100},
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N. Ya. Kirpichnikova. Equations for a wave front, rays, and a phase function near a regular region of the caustic formed by space-time rays. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 92-100. http://geodesic.mathdoc.fr/item/ZNSL_1992_203_a7/