Consider a longitudinal elastic wave incident normally on the boundary between two media, labeled 1 and 2.
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Consider a longitudinal elastic wave incident normally on the boundary between two media, labeled 1 and 2. By matching the displacement and the normal component of stress at the boundary, show that the ratio of the transmitted wave amplitude to the incident amplitude is given by
where Z1, 2 = [ρ1, 2(K1, 2 + 4μ1, 2/3)]1/2 is known as the acoustic impedance. (The impedance is independent of frequency and is just a characteristic of the material.) Likewise, evaluate the amplitude reflection coefficient, and verify that wave energy flux is conserved.
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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