Experimental validation of the Multi-Gaussian Beam (MGB) model

Minachi, A.; Margetan, F. J.; Gray, T. A.; Thompson, R. B.
May 2000
AIP Conference Proceedings;2000, Vol. 509 Issue 1, p1041
Academic Journal
An approximate (paraxial) analytic solution for the sonic field from a piston transducer can be obtained by superimposing the fields of appropriately chosen co-axial Gaussian beams. This Multi-Gaussian Beam (MGB) model is applicable to many geometries of practical interest. The piston probe can have an elliptical piezoelectric element fitted with a bi-cylindrically-curved lens. Layered media are easily treated, and the interfaces between layers can be planar or bi-cylindrically curved. In addition, the angle of incidence at each interface can be arbitrary, so long as the angles of incidence and refraction are not too large. Interesting phenomena are predicted when the sonic beam is propagated through a curved interface in a non-symmetry plane. When beam cross-sections are examined in such cases, the contours of constant phase are rotated relative to the contours of constant amplitude. In this work, further experiments are performed to test both the phase and amplitude predictions of the MGB model. The beam from a commercial planar transducer is propagated through an immersed aluminum specimen having a cylindrically curved entry surface and a flat exit surface. The emerging beam in water is then mapped using a point receiver, and amplitude and phase contours are compared with model predictions.—The work at Iowa State University was supported by the NSF Industry/University Cooperative Research program. © 2000 American Institute of Physics.


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