GREENS-FUNCTION AND ENERGY INTEGRALS FOR MAGNETOELASTIC SURFACE-WAVES IN PERFECTLY CONDUCTING MEDIA

Propagation of magneto-elastic Rayleigh waves from a unit line force in a perfectly conducting elastic half-space in a magnetic field is considered in this paper. Green's function for magneto-elastic Rayleigh waves is constructed by using the theory of spectral operators. A unified self-adjoint operator for both the elastic and electromagnetic disturbances is introduced. The self-adjointedness of the operator is then invoked to construct a solution of the inhomogeneous problem through eigenfunction of a corresponding homogeneous problem. Energy integrals for magneto-elastic surface waves and electro-magnetic disturbances similar to the more familiar elastic energy integrals are derived and relationships between the energy integrals are discussed in some detail.