Wave propagation in a weakly dispersive medium

1986 ◽  
Vol 27 (1) ◽  
pp. 124-127 ◽  
Author(s):  
S. Z. Dunin
1990 ◽  
Vol 112 (3) ◽  
pp. 399-406 ◽  
Author(s):  
A. D. Pierce ◽  
Hyun-Gwon Kil

The circular cylindrical shell is described by equations that govern wave propagation in a two-dimensional homogeneous, but anisotropic and dispersive, medium. The idealization of an unbounded medium is applicable if the source is replaced by a periodic array of forces, the repetition distance being the cylinder circumference. Analytical expressions and calculations are presented for wavefront patterns, amplitude distributions, polarizations, and phase velocities for waves on the cylinder surface. The analysis includes all three possible directions of the exciting force and gives fundamental results that can be superimposed to predict vibration fields resulting from arbitrary excitations.


1979 ◽  
Vol 89 ◽  
pp. 357-369
Author(s):  
F. K. Brunner

The precursor theory of an electromagnetic wavetrain propagating through a dispersive medium is briefly reviewed. The few successful experimental determinations of these precursors, which have been reported in the literature, are limited to transients in waveguides. The determination of precursors in the optical frequency range appears to be achievable in the laboratory. However, in the geodetic context of long wavepaths through the troposphere the utilisation of precursors for measuring distances and directions free of atmospheric effects is judged as not feasible at the present time.


Author(s):  
J. M. Galbraith ◽  
L. E. Murr ◽  
A. L. Stevens

Uniaxial compression tests and hydrostatic tests at pressures up to 27 kbars have been performed to determine operating slip systems in single crystal and polycrystal1ine beryllium. A recent study has been made of wave propagation in single crystal beryllium by shock loading to selectively activate various slip systems, and this has been followed by a study of wave propagation and spallation in textured, polycrystal1ine beryllium. An alteration in the X-ray diffraction pattern has been noted after shock loading, but this alteration has not yet been correlated with any structural change occurring during shock loading of polycrystal1ine beryllium.This study is being conducted in an effort to characterize the effects of shock loading on textured, polycrystal1ine beryllium. Samples were fabricated from a billet of Kawecki-Berylco hot pressed HP-10 beryllium.


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