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Analytic Analysis of Linear Growth Rates of Gyrotron for TE(lns) Mode with Zero-Temperature Beam Electrons

机译：低温束电子TE（lns）模式回旋管线性生长速率的解析分析

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摘要

The approximate expression for the growth rate of the transverse electric (TE) mode with the azimuthal mode number, 'l', the radial mode number 'n', and the magnetic harmonic number 's' of the electron cyclotron maser instability with zero-temperatured beam electrons is derived and analytically examined. It has been found that there exist two branches of instabilities distinguished by their axial wavenumbers; the short and the long wavelength modes, and the estimates of their growth rates have been obtained. With maximization processes of the growth rates, the optimum conditions on various parameters have been found. In particular, it has been found that 's' equals 'l' mode with the beam center coinciding with the axis yields the highest growth rate. The exponential behavior of the growth with respect to the magnetic harmonic number 's' is also obtained.

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