Equivalent Magnetic Field and Channelling Radiation in Bent Crystal
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摘要: 引入场指标和等效磁场概念,把粒子在弯晶沟道中的运动行为等效为回旋加速器中的粒子运动.结果表明,描写粒子的运动方程是一个非线性薛定谔方程.在小振幅近似下找到了系统的严格解和粒子振动周期,导出了瞬时辐射强度和最大辐射频率. The sine-squared potential and the equivalent magnetic field intensity have been introduced, the motion equation of the particle in bent crystal has been derived, the motion equation and the oscillation period of the particle have been solved exactly by Jacobian elliptic fuanction and the first kind of complet elliptic integrals, the intensity and the spectral properties of channelling radiation in bent crystal discussed.Abstract: The sine-squared potential and the equivalent magnetic field intensity have been introduced, the motion equation of the particle in bent crystal has been derived, the motion equation and the oscillation period of the particle have been solved exactly by Jacobian elliptic fuanction and the first kind of complet elliptic integrals, the intensity and the spectral properties of channelling radiation in bent crystal discussed.
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Key words:
- bent crystal /
- channelling radiation /
- equivalent magnetic field /
- elliptic function
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