A UNIFORM ASYMPTOTIC REPRESENTATION OF A REFLECTED WAVE IN AN ELASTIC MEDIUMT. B. Yanovskaya
A method is outlined for constructing the uniform asymptotic expansion of reflected and head wave fields in an elastic medium, which is valid both in the vicinity of and far apart from critical ray. A formula is derived for the main term of the uniform series, which describes the main part of the reflected $P$ or $S$ wave field. It appears to be of the same form as in the ray series, but with reflection coefficient dependent on frequency. In spite of the apparent complexity of the formula for the reflection coefficient, it is simple for calculations. For a set of frequencies the reflection coefficient of a $P$ wave has been calculated for a contact of two homogeneous half-spaces as a function of the angle of incidence.