在環(huán)型自由電子激光器中電子運動的混沌特性
CHAOTIC ELECTRON TRAJECTORIES IN A CIRCULAR FREE ELECTRON LASER
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摘要: 本文分析了相對論性電子在環(huán)型擺動器磁場,軸向磁場和由非中性電子束產(chǎn)生的平衡自電場和自磁場中的運動。通過數(shù)值計算畫出Poincare截面映射圖,表明當自場足夠強時,這種運動變成混沌的。雖然現(xiàn)實的環(huán)型擺動器場和自場一樣使電子運動方程成為不可積的,但自場使運動產(chǎn)生混沌的作用要比擺動器場強。軸向磁場有抑制混沌發(fā)生的作用。Abstract: The motion of a relativistic electron is analyzed in the field configuration consisting of a circular wiggler magnetic field, an axial magnetic field, and the equilibrium self-electric and self-magnetic fields produced by the non-neutral electron beam. By generating Poincare surface-of-section maps, it is shown that when the self-fields are strong enough, the electron motions become chaotic. Although the realistic circular wiggler field makes the equations of electron motion nonintegrable as the self-fields do, the effect of self-fields to cause the chaoticity is stronger than the wiggler field. The axial magnetic field can suppress the occurrence of chaoticity.
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