MASLOV CANONICAL OPERATOR IN PROBLEMS OF DIFFRACTION AND EM WAVES PROPAGATION IN INHOMOGENEOUS MEDIA

摘要

Nowadays the Maslov canonical operator method (COM) is applied in many problems of diffraction and waves propagation theory. It provides the short wave approximation description in the regions of complex caustics, caustic shadow, focal points of different types ets., being the uniform generalization of geometrioal optics (GO) solution (or WKB approximation). The classical objects such as the wave propagation trajectories are actively used in this approach.The asymtiotic solution in the COM form uses as GO formulae so as expressions having the form of oscillatory integrals of the following type.