The Self-Consistent Problem of Oscillations and Waves Associated with Sources

It is shown that the source function on the right-hand side of the Helmholtz equation, which is a solution of a homogeneous boundary value problem for this equation, provides the excitation of an associated wave (oscillation). Since this wave (oscillation) exists only in the presence of a source of the specified type, it is proposed to classify them (wave and oscillation) as associated with the source, and to consider the problem “generating” them as self-consistent, because the excited wave (oscillation) is in synchronism with the source in all wave numbers and energy balance.