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Nondestructive Depth Profiling of a Diffuse Interface

  • Anthony N. Sinclair (a1), Phineas Dickstein (a1) and Michael A. Graf (a1)


A numerical solution of the one-dimensional wave equation is used to find the characteristics of wave propagation in a non-homogeneous medium. The solution is used to determine the magnitude and phase of the reflection coefficient at a diffuse interface. The result is found to be strongly dependent on sonic frequency. Comparison is made between theoretical calculations and measurements of the reflection coefficient at a copper-to-nickel diffusion bond.



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1. Brekhovskikh, L.M., Waves in Layered Media, 2nd ed. (Academic Press, New York, 1980), pp. 161180 and pp. 188–192.
2. Levine, H., Unidirectional Wave Motions, (North-Holland, Amsterdam, 1978), pp. 323335.
3. Sinclair, A.N. and Graf, M., submitted to Research in Nondestructive Evaluation (1988).
4. Shoup, T.E., Applied Numerical Methods for the Microcomputer, (Prentice Hall, Englewood Cliffs, New Jersey, 1984), pp. 116119.


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