强流相对论电子束环产生的毫米波相干辐射
COHERENT RADIATION OF MILLIMETER WAVE GENERATED BY INTENSE ANNULAR RELATIVISTIC ELECTRON BEAM
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摘要: 本文研究由跃变磁场产生的绕轴高速旋转的电子束环(E层)产生毫米波相干辐射的特性。我们采用符拉索夫-麦克斯韦方程分析E层与磁控管腔的相互作用,导出色散关系,并进行了数值分析。结果表明,微波幅射频率为r=l∥(其中∥是电子在轴向磁场中的相对论迴旋频率;l是方位角方向上的模数,l=n+mN,N是磁控管腔的边腔数,n=0,1,2,,N/2,m是任意整数),而且l很大时辐射仍有足够高的增长率。这有利于在低的轴向磁场中产生毫米波辐射。如能很好地解决模式控制问题,就能做成低磁场的可调谐大功率毫米波器件。
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Abstract: Properties of coherent radiation of millimeter wave generated by a intense rotating annular relativistic electron beam (E-layer) which is from a cusp magnetic field are investigated. The linearized Vlasov-Maxwell equations are used to analyze the interaction between E-layer and re-sonnator of magnetron. The dispersion relation is deduced and numerical calculation is made. The results show that the frequency of microwave radiation is r(r = l∥ where ∥ is the electron relativistic cyclotron frequency in the axial magnetic field; l is the aximuthal mode number, l=n+mN; N is the number of side resonnators, n=0, 1, 2, N/2, m is any integer). The growth rate of radiation is still large enough even if l is good for generating millimeter wave radiation at low axial magnetic field. If the modes can be controlled well, a tunable, high power millimeter wave device can be made. -
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