参数共振与晶体摆动场中粒子运动的稳定性

Starting from the inverted pendulum equation, the phase plane characteristics of the unperturbed system were discussed, and the electromagnetic radiation of the charged particle was described analytically by Jacobi elliptic function and elliptic integral. The frequency response, critical condition and first order approximation solution of the perturbed system were derived by the multiscale method, thus the irreversibility, instability and relaxation behavior of the system were revealed. The radiation intensity of the charged particles was discussed by Ramos formula. It is pointed out that the stability of the system can be ensured by adjusting the parameters properly.

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王娜, 罗诗裕. 参数共振与晶体摆动场中粒子运动的稳定性[J]. 半导体光电, 2017, 38(2): 208. WANG Na, LUO Shiyu. Parametric Resonance and Stability of Particle Motion in Crystalline Undulator[J]. Semiconductor Optoelectronics, 2017, 38(2): 208.

参数共振与晶体摆动场中粒子运动的稳定性

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