Circularly Polarized Waves of Finite Amplitude in Elastic Dielectrics

Author(s):  
M. M. Carroll ◽  
M. F. McCarthy
1976 ◽  
Vol 16 (3) ◽  
pp. 321-334 ◽  
Author(s):  
Einar Mjølhus

The stability of circularly polarized waves of finite amplitude propagating parallel to the magnetic field is studied. A set of equations for slowly varying waves of arbitrary amplitude is obtained. A discussion of the stability of the waces is based on this set of equations. Earlier results are confirmed; in addition we find that finite amplitude always promotes stability. An amplitude dependent stability condition for long waves, previously obtained by the author, is confirmed.


1971 ◽  
Vol 5 (1) ◽  
pp. 107-113 ◽  
Author(s):  
C. S. Chen

An infinite, inhomogeneous electron plasma driven by a spatially uniform oscillating electric field is investigated. The multi-time perturbation method is used to analyze possible parametric excitations of transverse waves and to evaluate their growth rates. It is shown that there exist subharmonic excitations of: (1) a pair of transverse waves in an unmagnetized plasma and (2) a pair of one right and one left circularly polarized wave in a magnetoplasma. Additionally, parametric excitation of two right or two left circularly polarized waves with different frequencies can exist in a magnetoplasma. The subharmonic excitations are impossible whenever the density gradient and the applied electric field are perpendicular. However, parametric excitation is possible with all configurations.


1973 ◽  
Vol 51 (23) ◽  
pp. 2495-2497
Author(s):  
C. K. Campbell

With the aid of a phasor diagram it is shown that the scalar effective permeability μe = (μ2 − K2)/μ of a parallel-plate longitudinally magnetized microwave ferrite phase shifter may be simply obtained in terms of four circularly polarized waves relating to the permeability tensor eigenvalues μ + K and μ − K.


2014 ◽  
Vol 56 (5) ◽  
Author(s):  
Wang Shun ◽  
Chen Ziwei ◽  
Zhang Feng ◽  
Gong Zhaoqian ◽  
Li Jutao ◽  
...  

<p><strong><em></em></strong>Separation for O wave and X wave is a very important job in interpretation of ionograms, which is premise for automatic scaling. In this paper, a new digital method for separating O wave and X wave is presented, based on a numerical synthesizing technique, which is different from using image recognition to separate trace O and trace X in the ionograms, and from using the electrical method to synthesize and detect circularly polarized waves. By replacing analog phase shifters and switches in existing ionosonde with digital phase shifters with different initial phase, 0°, +90°, −90°, circularly polarized waves are synthesized digitally within the range of 1-30 MHz, which eliminates the nonlinearity and expands the bandwidth of the ionosonde, and there is no need to switch the analog switches continuously. The new method has been successfully applied to CAS-DIS ionosonde and testing results show that the new digital method is capable of separating O wave and X wave well.</p>


2011 ◽  
Vol 19 (3) ◽  
Author(s):  
C. Zenkova ◽  
M. Gorsky ◽  
N. Gorodynska

AbstractThe use of the method of field polarization modulation for defining the degree of coherence of circularly polarized waves is offered. The role of the reference circularly polarized wave in transforming the spatial distribution of polarization into the depth of visibility modulation of the resulting distribution, which can be metrologically estimated and analyzed, is demonstrated.


1993 ◽  
Vol 49 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Hiromitsu Hamabata

A class of parametric instabilities of finite-amplitude, circularly polarized Alfvén waves in a plasma with pressure anisotropy is studied by application of the CGL equations. A linear perturbation analysis is used to find the dispersion relation governing the instabilities, which is a fifth-order polynomial and is solved numerically. A large-amplitude, circularly polarized wave is unstable with respect to decay into three waves: one sound-like wave and two side-band Alfvén-like waves. It is found that, in addition to the decay instability, two new instabilities that are absent in the framework of the MHD equations can occur, depending on the plasma parameters.


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