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Reciprocal relations for transmission coefficients - Theory and applicationThe authors present a rigorous proof of certain intuitively plausible reciprocal relations for time harmonic plane-wave transmission and reflection at the interface between a fluid and an anisotropic elastic solid. Precise forms of the reciprocity relations for the transmission coefficients and for the transmitted energy fluxes are derived, based on the reciprocity theorem of elastodynamics. It is shown that the reciprocity relations can be used in conjunction with measured values of peak amplitudes for transmission through a slab of the solid (water-solid-water) to obtain the water-solid coefficients. Experiments were performed for a slab of a unidirectional fiber-reinforced composite. Good agreement of the experimentally measured transmission coefficients with theoretical values was obtained.
Document ID
19890048394
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Qu, Jianmin (Pennsylvania, University Philadelphia, United States)
Achenbach, Jan D. (Northwestern University Evanston, IL, United States)
Roberts, Ronald A. (Argonne National Laboratory IL, United States)
Date Acquired
August 14, 2013
Publication Date
March 1, 1989
Publication Information
Publication: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume: 36
ISSN: 0885-3010
Subject Category
ACOUSTICS
Distribution Limits
Public
Copyright
Other