Ultrasonic radiative transfer in polycrystalline media: Effects of a fluid-solid interface

In previous derivations of the ultrasonic radiative transfer equation (URTE) for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid-solid boundary condition is discussed as it applies to the URTE. An interpolation scheme is developed that is consistent with the discrete ordinates method used for the solution of the URTE. Steady-state and time-dependent results are presented for the solution of the URTE with a fluid-solid boundary condition. The steady-state results show that diffusive behavior is exhibited nearer the specimen surface than before. The time-dependent results show the qualitative change one might expect from such a boundary condition.