【摘 要】
：
从逐次线性化法解粒子非线性Betatron振荡方程出发,对存在非线性六极场、八极场及六极场与八极场共存的粒子Betatron振荡方程进行研究. 应用线性理论得出了粒子非线性Betatro
【机 构】
：
中国科学院近代物理研究所,中国科学院研究生院
论文部分内容阅读
从逐次线性化法解粒子非线性Betatron振荡方程出发,对存在非线性六极场、八极场及六极场与八极场共存的粒子Betatron振荡方程进行研究. 应用线性理论得出了粒子非线性Betatron振荡稳定性的判据,得到了动力学孔径的半解析表达式,分析了在小振幅下,导致粒子非线性不稳定性的另外一种机制--小振幅下,参量共振所引起的自激振荡. 用此方法对实际lattice的动力学孔径进行了研究,所得结果与数值跟踪结果吻合得很好.
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