Acoustic Velocity, Impedance, Reflection, …

Acoustic velocity , impedance , Reflection, Transmission, attenuation , and Acoustic EtalonsAcoustic VelocityThe equation of motion in a solid is (1) T = 2u t2(1)where T is the stress tensor, is the density, and u is particle displacement. Consider a longitudinal wave traveling in the x direction so that there is only an x component of u. Then the wave equation simplifies to T11 x= C11 S11 x= C11 2u1 x2= 2u1 t2(2)This is a standard wave equation, which has a variety of solutions. All traveling wave solutions have a wave velocity Va = C11 . All Acoustic waves will have a mathematical form similar to this, the square root of the ratio of an elastic constant to the density.

Acoustic Velocity, Impedance, Reflection, Transmission, Attenuation, and Acoustic Etalons Acoustic Velocity The equation of motion in a solid is (1) ∇⋅T = ρ ∂2u ∂t2 (1)

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  Transmissions, Acoustic, Reflections, Attenuation, Impedance, Velocity, Acoustic velocity

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