参数激励与晶体摆动场辐射的稳定性

李秀平; 王善进; 陈琼; 罗诗裕

doi:10.7498/aps.62.224102

摘要

寻找新光源, 特别是短波长相干光源备受关注. 本文讨论了晶体摆动场辐射作为短波长激光的可能性和必须满足的基本条件; 指出了至今尚未获得可利用的短波长激光可能不只是技术原因, 而且还有物理原因. 利用参数激励方法对这个问题进行了分析. 在经典力学框架内和偶极近似下, 引入正弦平方势, 把粒子运动方程化为具有阻尼项和参数激励项的摆方程. 利用Melnikov方法讨论了系统的稳定性, 并对系统的临界条件进行了分析. 结果表明: 系统的稳定性与其参数有关, 只需适当调节这些参数, 系统的稳定性就可以原则上得到保证.

关键词:

Abstract

Looking for a new light source, especially short-wavelength coherent light source has attracted much attention. A possibility and basic conditions are discussed by using crystalline undulator field radiation as a short-wavelength laser; it is pointed out that the short-wavelength laser has not yet been available so far which is due to not only technical reasons, but also physical reasons. In this paper, the physical problem is analyzed by using parametric excitation method. Introducing the sine-squared potential, the particle motion equation is reduced to a pendulum equation with a damping term and parameter excitation term in the framework of classical mechanics and the dipole approximation. A stability of the system is discussed using Melnikov method, and the critical condition of the system is also analyzed. The results show that the stability of the system relates to its parameters. By adjusting these parameters appropriately, the stability of the system can be ensured in principle.

Keywords:

作者及机构信息

1.
东莞理工学院电子工程学院, 东莞 523808

Authors and contacts

1.
College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China

参考文献

[1]	Kumakhov M A 1976 Phys. Lett. A 57 17
[2]	Korol A V, Solovyov A V, Greiner W 2008 Nucl. Inst. Methods Phys. Res. B 266 1173
[3]	Korol A V, Solovyov A V, Greiner W 2006 Spontaneous and Stimulated Photon Emission in Crystalline Undulators (Natherlands: Springer) pp165–189
[4]	Tabrizi M, Korol A V, Solovyov A V 2007 Phys. Rev. Lett. 98 164801
[5]	Korol A V, Solovyov A V, Greiner W 2004 Int. J. Mod. Phys. E 13 867
[6]	Sushko G B, Korol A V, Greiner W, Solov’yov A V 2013 J. Phys.: Conf. Ser. 438 012018
[7]	Korol A V, Solov’yov A V, Greiner W 2013 Channeling and Radiation in Periodically Bent Crystals (Berlin: Springer) pp195–226
[8]	Gennady B S, Bezchastnov V G, Solov’yov I A, Korol A V, Greiner W, Solovyov A V 2013 J. Computat. Phys. 252 404
[9]	Luo S Y, Shao M Z 2009 Chin. Laser 36 1378 (in Chinese) [罗诗裕, 邵明珠 2009 中国激光 36 1378]
[10]	Wang S J, Wu M Y, Luo S Y, Zhang W F, Luo X H, Shao M Z 2010 Acta Opt. Sin. 30 180 (in Chinese) [王善进, 吴木营, 罗诗裕, 张伟风, 罗晓华, 邵明珠 2010 光学学报 30 180]
[11]	Luo S Y, Shao M Z, Luo X H 2010 Acta Phys. Sin. 59 2685 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 物理学报 59 2685]
[12]	Zhang M, Luo X H, Luo S Y, Shao M Z 2010 Chin. J. Lumines. 31 454 (in Chinise) [张梅, 罗晓华, 罗诗裕, 邵明珠 2010 发光学报 31 454]
[13]	Luo X H, He W, Wu M Y, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210
[14]	Liu H Z, Luo S Y, Shao M Z 2013 Chin. Phys. B 22 047807
[15]	Luo S Y, Shao M Z, Luo X H 2010 Sci. China: Phys. Mech. Astron. 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学 40 207]
[16]	Shao M Z, Luo S Y, Wang H C 2009 Chin. Lasers 36 2888 (in Chinese) [邵明珠, 罗诗裕, 王红成 2009 中国激光 36 2888]

施引文献

[1]	Kumakhov M A 1976 Phys. Lett. A 57 17
[2]	Korol A V, Solovyov A V, Greiner W 2008 Nucl. Inst. Methods Phys. Res. B 266 1173
[3]	Korol A V, Solovyov A V, Greiner W 2006 Spontaneous and Stimulated Photon Emission in Crystalline Undulators (Natherlands: Springer) pp165–189
[4]	Tabrizi M, Korol A V, Solovyov A V 2007 Phys. Rev. Lett. 98 164801
[5]	Korol A V, Solovyov A V, Greiner W 2004 Int. J. Mod. Phys. E 13 867
[6]	Sushko G B, Korol A V, Greiner W, Solov’yov A V 2013 J. Phys.: Conf. Ser. 438 012018
[7]	Korol A V, Solov’yov A V, Greiner W 2013 Channeling and Radiation in Periodically Bent Crystals (Berlin: Springer) pp195–226
[8]	Gennady B S, Bezchastnov V G, Solov’yov I A, Korol A V, Greiner W, Solovyov A V 2013 J. Computat. Phys. 252 404
[9]	Luo S Y, Shao M Z 2009 Chin. Laser 36 1378 (in Chinese) [罗诗裕, 邵明珠 2009 中国激光 36 1378]
[10]	Wang S J, Wu M Y, Luo S Y, Zhang W F, Luo X H, Shao M Z 2010 Acta Opt. Sin. 30 180 (in Chinese) [王善进, 吴木营, 罗诗裕, 张伟风, 罗晓华, 邵明珠 2010 光学学报 30 180]
[11]	Luo S Y, Shao M Z, Luo X H 2010 Acta Phys. Sin. 59 2685 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 物理学报 59 2685]
[12]	Zhang M, Luo X H, Luo S Y, Shao M Z 2010 Chin. J. Lumines. 31 454 (in Chinise) [张梅, 罗晓华, 罗诗裕, 邵明珠 2010 发光学报 31 454]
[13]	Luo X H, He W, Wu M Y, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210
[14]	Liu H Z, Luo S Y, Shao M Z 2013 Chin. Phys. B 22 047807
[15]	Luo S Y, Shao M Z, Luo X H 2010 Sci. China: Phys. Mech. Astron. 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学 40 207]
[16]	Shao M Z, Luo S Y, Wang H C 2009 Chin. Lasers 36 2888 (in Chinese) [邵明珠, 罗诗裕, 王红成 2009 中国激光 36 2888]

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