Scattering of plane evanescent waves by cylindrical shells and wave vector coupling conditions for exciting flexural waves

2002 ◽  
Vol 111 (5) ◽  
pp. 2436
Author(s):  
Philip L. Marston
Keyword(s):  
Wave Vector ◽  
Cylindrical Shells ◽  
Evanescent Waves ◽  
Flexural Waves ◽  
Vector Coupling ◽  
Coupling Conditions

Dispersion of flexural waves in circular cylindrical shells

1972 ◽  
Vol 329 (1578) ◽  
pp. 283-297 ◽  
Keyword(s):  
Linear Elasticity ◽  
Poisson Ratio ◽  
Cylindrical Shells ◽  
Three Dimensional ◽  
Real Plane ◽  
Solid Cylinder ◽  
Flexural Waves ◽  
Circular Cylindrical Shells ◽  
The Waves ◽  
Zero Frequency

The imaginary and complex branches of the dispersion spectra corresponding to flexural waves in circular cylindrical shells of various wall thicknesses including the solid cylinder have been constructed by utilizing exact three-dimensional equations of linear elasticity. The effects of wall thickness and Poisson ratio on the cut-off frequencies have been studied. Complex branches emanate from the points of frequency extrema on the purely imaginary or purely real branches and intersect the zero frequency plane, either as purely imaginary or as complex branches. The waves associated with complex branches emerging from points on the real plane are less decaying at higher frequencies.

Nonlinear flexural waves in cylindrical shells with periodic excitation

1988 ◽  
Vol 24 (11) ◽  
pp. 1086-1090 ◽  
Author(s):  
P. S. Koval'chuk ◽  
N. P. Podchasov
Keyword(s):  
Cylindrical Shells ◽  
Periodic Excitation ◽  
Flexural Waves

Dispersion relations and wave propagation in photonic hypercrystals

2018 ◽  
Vol 32 (02) ◽  
pp. 1750320 ◽  
Author(s):  
Munazza Zulfiqar Ali
Keyword(s):  
Wave Vector ◽  
Dielectric Material ◽  
Effective Medium ◽  
Evanescent Waves ◽  
Dispersion Relations ◽  
Matrix Approach ◽  
Periodic Medium ◽  
Hyperbolic Metamaterial ◽  
Propagating Waves ◽  
Transfer Matrix Approach

A photonic hypercrystal is a subwavelength periodic structure consisting of alternate layers of hyperbolic metamaterial and dielectric material. The structure can be treated as an effective medium as well as a periodic medium. Since two length scales are involved, the better treatment is to treat the hyperbolic metamaterial as an effective medium and the overall structure as a periodic medium. The dispersion relations are derived and plotted to show the appearance of propagating bands and gaps in the frequency and wave vector domains. Then using the transfer matrix approach, the transmissivity versus the frequency plot for propagating waves and grayscale plot of the transmission coefficient in the frequency versus wave vector plane for the evanescent waves are plotted and analyzed.

Wave‐vector analysis of the forced vibrations of cylindrical shells of finite length

1992 ◽  
Vol 92 (4) ◽  
pp. 1985-1993 ◽  
Author(s):  
Christian Y. Glandier ◽  
Yves H. Berthelot ◽  
Jacek Jarzynski
Keyword(s):  
Finite Length ◽  
Wave Vector ◽  
Cylindrical Shells ◽  
Forced Vibrations ◽  
Vector Analysis

scholarly journals Evanescent waves and superluminal behavior of matter

2019 ◽  
Vol 34 (25) ◽  
pp. 1950141 ◽  
Author(s):  
Luca Nanni
Keyword(s):  
Potential Barrier ◽  
Wave Vector ◽  
Evanescent Wave ◽  
Gordon Equation ◽  
Initial Energy ◽  
Evanescent Waves ◽  
Free Flight ◽  
Flavor Oscillations ◽  
Klein Gordon ◽  
Klein Gordon Equation

An evanescent wave is a nonpropagating wave with an imaginary wave vector. In this study, we prove that these are solutions of the tachyon-like Klein–Gordon equation, and that in the tunneling of ultrarelativistic spin-1/2 particles they describe superluminal states arising from the interactions between a particle and barrier. These states decay as a particle emerges from the opposite side of a potential barrier, conserving the same initial energy but not necessarily the same mass. The obtained theory is applied to the neutrino, to explain flavor oscillations during free flight and determine the conditions that maximize the probability of their occurrence.

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