Representation Integrals for Elastic Wave Propagation Containing Either the Displacement Term or the Stress Term Alone

In this paper two representation integrals of elastic wave field, corresponding to the Rayleigh I and II integrals in the scalar wave case, are derived for the first time. The Green's functions needed for these integrals are constructed by using auxiliary functions which are singular at the "ghost-image point" of the singular point of the original Green's functions (Stoke's solutions).