Approximate method of the solution of tasks multiple dispersion in the half-space

Questions of the approximate accounting of multiple dispersion in the conditions of influence of borders of a wave guide are considered. The problem is solved in relation to the spherical radiator which is in a half-space at flat border. Expressions for direct, and also the field once disseminated by a radiator caused by existence of waves reflected from border are presented. The problem is solved in zero approach by means of received before the equipment following from that fact that amplitude of dispersion satisfies to Helmholtz's equation on variables of location of the lens.