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## Upper hybrid oscillationAn - ,
## Additional recommended knowledgewhere (in cgs units) - ω
_{pe}= (4π*n*_{e}*e*^{2}/*m*_{e})^{1 / 2}
is the electron plasma frequency, and - ω
_{ce}=*e**B*/*m*_{e}*c*
is the electron cyclotron frequency. This oscillation is closely related to the plasma oscillation found in unmagnetized plasmas or parallel to the magnetic field, where the ω *v*_{x}= -*i*ωδ*f*_{y}=*nev*_{x}*B*_{z}/*c*= -*i*ω(*neB*_{z}/*c*)δ*v*_{y}= -*f*_{y}/*i*ω*nm*= (*eB*_{z}/*mc*)δ*f*_{x}= -*nev*_{y}*B*_{z}/*c*= -(*nm*)(*eB*_{z}/*mc*)²δ*a*_{x}= -ω_{ce}²δ
Thus the perpendicular magnetic field effectively provides a harmonic restoring force with a frequency ω The frequency of long wavelength oscillations is a "hybrid", or mix, of the electron plasma and electron cyclotron frequencies, - ω
_{h}² = ω_{pe}² + ω_{ce}²,
and is known as the For propagation at angles oblique to the magnetic field, two modes exist simultaneously. If the plasma frequency is higher than the cyclotron frequency, then the upper hybrid oscillation transforms continuously into the plasma oscillation. The frequency of the other mode varies between the cyclotron frequency and zero. Otherwise, the frequency of the mode related to the upper hybrid oscillation remains above the cyclotron frequency, and the mode related to the plasma oscillation remains below the plasma frequency. In particular, the frequencies are given by
## See also |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Upper_hybrid_oscillation". A list of authors is available in Wikipedia. |