Abstract
Energy reflection of plane elastic waves impinging on an inhomogeneous elastic layer is investigated. The variation of acoustic impedance throughout the inhomogeneous layer is given as a linear function of thickness coordinate of the layer. Closed-form analytical solutions of the coefficient of energy reflection and transmission are obtained for the normal case to show fundamental but reliable results. The discontinuity of acoustic impedance at interfaces dominantly affects energy reflection. The effect is systematically explained from the variation in impedance. The special coefficients for the long wave limit coincide with the well-known results for a homogeneous elastic layer. The model presented here may be applicable to such materials as a transitional layer of deteriorated bonding interface or a layer of functionally gradient material.
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