ABSTRACT: The conditions on elastic displacement and stress in a material that will promote reflection and transmission of an incoming
wave are calculated. It is found, for example, that to optimize reflection and transmission, scalar potentials of the displacement
in the wave and in the material will be related to rotations in planes perpendicular and parallel to the direction of propagation
to the wave. When a pulse is constructed and its path analyzed through short distances, it is shown that abrupt transitions
in tension and compression in a material will maximize reflection of the pulse. When strain energy is minimized where reflection
and refraction are to occur, differences in tension and compression become prominent again. Finally, an approximate volume
of material is calculated for an electron to harness the restoring forces in a material to balance the energy lost in inelastic
International Journal of Mechanics and Materials in Design 05/2012; 5(1):1-12.