| Abstract: | The field of a plane electromagnetic wave near a dielectric sphere is investigated. Contour integrals are separated out from the exact solution which at high frequencies represent waves multiply reflected from the inner surface of the sphere. The high-frequency asymptotic representation of the wave field in a neighborhood of the initial point of the caustic of the reflected and refracted rays is expressed in terms of standard special functions.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 42, pp. 59–77, 1974. |
