Dispersion Equation for Plasma Wave Propagation at the Interface of a Stochastic Envinronment

2018 ◽  
Vol 63 (1-2) ◽  
pp. 101-110
Author(s):  
A. Marcu ◽  
◽  
G. Mocanu ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Shishir Gupta ◽  
Rishi Dwivedi ◽  
Smita Smita ◽  
Rachaita Dutta

Purpose The purpose of study to this article is to analyze the Rayleigh wave propagation in an isotropic dry sandy thermoelastic half-space. Various wave characteristics, i.e wave velocity, penetration depth and temperature have been derived and represented graphically. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form. Design/methodology/approach The present article deals with the propagation of Rayleigh surface wave in a homogeneous, dry sandy thermoelastic half-space. The dispersion equation for the proposed model is derived in closed form and computed analytically. The velocity of Rayleigh surface wave is discussed through graphs. Phase velocity and penetration depth of generated quasi P, quasi SH wave, and thermal mode wave is computed mathematically and analyzed graphically. To illustrate the analytical developments, some particular cases are deliberated, which agrees with the classical equation of Rayleigh waves. Findings The dispersion equation of Rayleigh waves in the presence of thermal conductivity for a dry sandy thermoelastic medium has been derived. The dry sandiness parameter plays an effective role in thermoelastic media, especially with respect to the reference temperature for η = 0.6,0.8,1. The significant difference in η changes a lot in thermal parameters that are obvious from graphs. The penetration depth and phase velocity for generated quasi-wave is deduced due to the propagation of Rayleigh wave. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form. Originality/value Rayleigh surface wave propagation in dry sandy thermoelastic medium has not been attempted so far. In the present investigation, the propagation of Rayleigh waves in dry sandy thermoelastic half-space has been considered. This study will find its applications in the design of surface acoustic wave devices, earthquake engineering structural mechanics and damages in the characterization of materials.


1964 ◽  
Vol 4 (4) ◽  
pp. 272-278 ◽  
Author(s):  
A.B. Kitsenko ◽  
K.N. Stepanov

1967 ◽  
Vol 19 (9) ◽  
pp. 514-518 ◽  
Author(s):  
P. M. Platzman ◽  
W. M. Walsh

1976 ◽  
Vol 37 (25) ◽  
pp. 1684-1687 ◽  
Author(s):  
N. Sato ◽  
G. Popa ◽  
E. Märk ◽  
R. Schrittwieser ◽  
E. Mravlag

1962 ◽  
Vol 13 (4) ◽  
pp. 587-596 ◽  
Author(s):  
D. F. Jephcott ◽  
P. M. Stocker

In a previous paper (Woods 1962) a theory is presented which leads to a general dispersion relation for hydromagnetic waves in a dissipative plasma contained in a cylindrical tube. In the present paper experimental observations are compared with the predictions of this theory.An experiment is described in which torsional hydromagnetic waves are excited in a gas discharge. Measurements of the wave velocity and damping are compared with solutions of the dispersion equation which are computed from measured values of the plasma parameters. The results are consistent with the theory, and good numerical agreement is obtained by assuming a loss of particles to the tube walls. There is evidence of a cut-off in wave propagation in the region of ion cyclotron resonance.


Solar Physics ◽  
1969 ◽  
Vol 10 (1) ◽  
pp. 154-167 ◽  
Author(s):  
Richard L. Harkness

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