The present study involves two semi-infinite homogeneous, isotropic, linearly elastic plates perfectly bonded end to end. The plates have dissimilar material properties (e.g., copper and aluminum). Incident on the interface are both the lowest symmetric and the lowest antisymmetric Rayleigh-Lamb eigenmodes. The resulting transmitted and reflected fields contain contributions from all of the real, imaginary and complex plate modes which are active at the given excitation frequency. A study of the distribution of energy among the various reflected and transmitted Rayleigh eigenmodes over a range of frequencies is undertaken for a number of material combinations of the bimaterial plate. (rrh)