Nonlinear frequency shift in whistler and hydrodynamic propagation

1970 ◽  
Vol 48 (18) ◽  
pp. 2130-2134 ◽  
Author(s):  
Jean-Pierre Frey ◽  
Alain Roux
Keyword(s):  
Frequency Shift ◽  
Vlasov Equation ◽  
Cold Plasma ◽  
Nonlinear Effects ◽  
Nonlinear Frequency ◽  
Whistler Mode ◽  
The Third ◽  
Hydromagnetic Waves ◽  
Nonlinear Frequency Shift

Nonlinear effects for the electronic and ionic cyclotron modes propagating in the magnetosphere are studied by using the Vlasov equation; the frequency shift is deduced to the third order.Going to the case of a cold plasma for the whistler mode, we find that frequency shift vanishes, a result in agreement with Tidman and Stainer, based on the moments equations, but in contradiction with Watanabe's results derived from the Vlasov equation.For the hydromagnetic waves the effect does exist, but is not sufficient to explain the frequency–time displays ("sonagrams") of the so-called "pearl" events.

Notch Nonlinear Frequency Shift in AlGaAs Bragg Grating Waveguides

2011 ◽  
Author(s):  
P. Tannouri ◽  
M. J. Strain ◽  
M. Clerici ◽  
M. Peccianti ◽  
A. Pasquazi ◽  
...  
Keyword(s):  
Frequency Shift ◽  
Bragg Grating ◽  
Nonlinear Frequency ◽  
Nonlinear Frequency Shift

Nonlinear frequency shift of finite-amplitude electrostatic surface waves

1989 ◽  
Vol 41 (2) ◽  
pp. 239-242 ◽  
Author(s):  
L. Stenflo ◽  
M. Y. Yu
Keyword(s):  
Frequency Shift ◽  
Surface Waves ◽  
Spatial Dependence ◽  
Wave Amplitude ◽  
Finite Amplitude ◽  
Nonlinear Frequency ◽  
Unmagnetized Plasma ◽  
Nonlinear Frequency Shift

The problem concerning the appropriate form for the nonlinear frequency shift arising from slow density modulations of electrostatic surface waves in a semi-infinite unmagnetized plasma is reconsidered. The spatial dependence of the wave amplitude normal to the surface is kept general in order to allow for possible nonlinear attenuation behaviour of the surface waves. It is found that if the frequency shift is expressed as a function of the density and its gradient then the result is identical with that of Zhelyazkov (1987b), who assumed a linear exponential attenuation behaviour.

Notch Nonlinear Frequency Shift in AlGaAs Bragg Grating Waveguides

2011 ◽  
Author(s):  
Matteo Clerici ◽  
Marco Peccianti ◽  
Michael J. Strain ◽  
Pamela Tannouri ◽  
Alessia Pasquazi ◽  
...  
Keyword(s):  
Frequency Shift ◽  
Bragg Grating ◽  
Nonlinear Frequency ◽  
Nonlinear Frequency Shift
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