Dear ResearchGate members,
On one hand, there is a theory giving the reflection/transmission coefficients when acoustic planes waves propagating in a medium (rho0, c0) reach a finite thickness object (rho1, c1) with normal incidence. Such theory basically gives the thicknesses (n*lambda1/2) at which the object is theoretically acoustically transparent - of course, the width of the reduced reflection depends on the impedance mismatch between the 2 media – and the thicknesses ([2n-1]*lambda1/4) at which the object is fully reflective.
On the other hand, there is also theory giving the variation of the reflection coefficient depending on the incident angle of acoustic plane waves at the interface between two semi-infinite media (rho0, c0; rho1, c1). Over a critical angle (depending on the impedance mismatch between the two media), the reflection is theoretically total.
Now, here is my question: What is the behavior of the acoustic waves when the two phenomena are considered at the same time? If the plane waves reach a surface with an incident angle, and the reflective medium is finite in thickness (acoustic mirror)?
By experience and through simulations, it appears that over the critical angle, the reflection is not total, even with a mirror thickness for which the reflection is theoretically total.
Thanks a lot in advance.
Thibaut Meurisse ,
This is an attempt to help, just a shot in the dark. The pdf is attached. Peace!
Kaylin M. Thornton ,
Thanks a lot for your help !
The added impact of the phase (eq.5) with finite thickness acoustic mirrors may be the source of some experimental effects I observed. However, I am not sure how to explicit it. Do you know a formulation, dependent on both incidence angle and thickness (and, probably, impedances of the 2 media) ?
Thanks !
The second part of your question was too complex. I submitted some supplemental info.
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