Oscillations and Waves Associated with a Source

Abstract

A self-consistent boundary value problem of excitation is considered in which the source function on the right-hand side of the Helmholtz equation is the solution of a homogeneous boundary value problem. It is shown that the source of an associated oscillation can be put into correspondence with a function describing a standing wave and the source of an associated wave, to a function describing a traveling wave. It is established that such sources, in addition to an eigenwave (eigenoscillation), produce an associated wave (oscillation). It is proposed to classify these waves (oscillations) as waves associate with a source, because they exist only in the presence of sources of this type.