Parametric X ray Radiation of Charged Particle and Stabilities in Bent Crystal

LUO Xiao-hua; HE Wei; LUO Shi-yu; #; SHAO Ming-zhu

doi:10.11804/NuclPhysRev.26.03.242

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Article Navigation > Nuclear Physics Review > 2009 > 26(3): 242-247

LUO Xiao-hua, HE Wei, LUO Shi-yu, #, SHAO Ming-zhu. Parametric X ray Radiation of Charged Particle and Stabilities in Bent Crystal[J]. Nuclear Physics Review, 2009, 26(3): 242-247. doi: 10.11804/NuclPhysRev.26.03.242

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LUO Xiao-hua, HE Wei, LUO Shi-yu, #, SHAO Ming-zhu. Parametric X ray Radiation of Charged Particle and Stabilities in Bent Crystal[J]. Nuclear Physics Review, 2009, 26(3): 242-247. doi: 10.11804/NuclPhysRev.26.03.242

Parametric X ray Radiation of Charged Particle and Stabilities in Bent Crystal

doi: 10.11804/NuclPhysRev.26.03.242

1 College of Electric Engineering, Chongqing University, Chongqing 400040, China; 2 Library, Chongqing University of Communications, Chongqing 4000074, China; 3 Dongguan University of Technology, Dongguan 523106, Guangdong, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2009-09-20

Abstract

An exploration of a new light source by PXR as Laser gived rise to extensive attention. The particle motion must be stable in order to obtain coherent PXR source. But, an instability of system is possible due to the effect of bent crystal， thus the reflection, the diffraction, the focus and the spectral distribution of PXR will be effected.In the classical mechanics frame and dipole approximation the particle motion equation in bent crystal is reduced to the pendulum equation with a constant momentum by the sinesquared potential.The phase planar properties are analysed by means of Jacobian elliptic function and the elliptic integral. It shows that the stability of the system is related to the curvature Q of the bent crystal. When the condition 0≤Q<1 is satisfied, the system is stable。
- parametric Xray radiation,
- phase plane,
- bent crystal,
- pendulum equation,
- Jacobian elliptic function
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Parametric X ray Radiation of Charged Particle and Stabilities in Bent Crystal

doi: 10.11804/NuclPhysRev.26.03.242

1 College of Electric Engineering, Chongqing University, Chongqing 400040, China; 2 Library, Chongqing University of Communications, Chongqing 4000074, China; 3 Dongguan University of Technology, Dongguan 523106, Guangdong, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2009-09-20

Key words:

Abstract: An exploration of a new light source by PXR as Laser gived rise to extensive attention. The particle motion must be stable in order to obtain coherent PXR source. But, an instability of system is possible due to the effect of bent crystal， thus the reflection, the diffraction, the focus and the spectral distribution of PXR will be effected.In the classical mechanics frame and dipole approximation the particle motion equation in bent crystal is reduced to the pendulum equation with a constant momentum by the sinesquared potential.The phase planar properties are analysed by means of Jacobian elliptic function and the elliptic integral. It shows that the stability of the system is related to the curvature Q of the bent crystal. When the condition 0≤Q<1 is satisfied, the system is stable。

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