任意椭圆偏振激光场非线性汤姆逊散射的一般表述与X射线产生的优化条件

赵诗华; 吕清正; 袁素英; 李英骏

doi:10.7498/aps.60.054209

摘要

基于相对论条件的电动力学,解析求解了任意椭圆偏振条件下激光场的非线性汤姆逊散射的一般表示.利用解析结果得到了背向非线性汤姆逊散射高次谐波的极值条件.结果表明对于基频背向汤姆逊散射,在相同条件下,圆偏振激光具有最大值而线偏振是最小值,如果激光偏振态从圆偏振连续的过渡到线偏振,背向汤姆逊散射的角功率随之单调递减.这一效应对高强度入射激光尤为重要,当 a2 >5时,圆偏振情形的贡献几乎是线偏振的2倍.这对基于汤姆逊散射机制的X射线源实验研究具有重要参考意义.

关键词:

Abstract

The general formulation of nonlinear Thomson scattering of arbitrary polarized laser is derived from electrodynamics analytically under relativistic conditions. The extreme condition for high order harmonics is educed from the analytical results. It is found that the circular polarization reaches a maximum while the linear polarization is at its minimum in the fundamental backscattering radiation in the same situations, which makes important consulting sense in the experimental research of X-ray source based on the Thomson scattering mechanism especially for high intensity incident laser pulse cases.

Keywords:

作者及机构信息

1.
中国矿业大学(北京)理学院,北京 100083

基金项目: 国家重点基础研究发展计划(973) 项目(批准号:2007CB815105) ,国家自然科学基金(批准号:10874242) 和中央高校基本科研业务费资助的课题.

Authors and contacts

1.
School of Science, China University of Mining & Technology (Beijing), Beijing 100083, China

参考文献

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[25]	Gibson D J, Albert F, Anderson S G, Betts S M, Messerly M J, Phan H H, Semenov V A, Shverdin M Y, Tremaine A M, Hartemann F V, Siders C W, McNabb D P, Barty C P J 2010 Phys. Rev. ST Accel. Beams 13 070703
[26]	Sarachik E S, Schappert G T 1970 Phys. Rev. D 1 2738
[27]	Watson G N 1965 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press) p14—667
[28]	Dattoli G, Giannessi L, Mezi L, Torre A 1990 Nuovo Cimento 105B 327

施引文献

[1]	prangle P, Ting A, Esarey E, Fisher A 1992 J. Appl. Phys. 72 5032
[2]	Spranglet P, Esarey E 1992 Phys. Fluids B 4 2241
[3]	Esarey E, Ride S K, Sprangle P 1993 Phys. Rev. E 48 3003
[4]	Fiocco G, Thompson E 1963 Phys. Rev. Lett. 10 89
[5]	Milburn R H 1963 Phys. Rev. Lett. 10 75
[6]	Bemporad C, Milburn R H, Tanaka N, Fotino M 1965 Phys. Rev. 138 B1546
[7]	Strickland D, Mourou G 1985 Opt. Commun. 56 219
[8]	Kim K J, Chattopadhyay S, Shank C V 1994 Nucl. Instrum. Methods Phys. Res., Sect. A 341 351
[9]	Schoenlein R W, Leemans W P, Chin A H, Volfbeyn P, Glover T E, Balling P, Zolotorev M, Kim K J, Chattopadhyay S, Shank C V 1996 Science 274 236
[10]	Kashiwagi S, Washio M, Kobuki T, Kuroda R, Ben-Zvi I, Pogorelsky I, Kusche K, Skaritka J, Yakimenko V, Wang X J, Hirose T, Dobashi K, Muto T, Urakawa J, Omori T, Okugi T, Tsunemi A, Liu Y, He P, Cline D, Segalov Z 2000 Nucl. Instrum. Methods Phys. Res., Sect. A 455 36
[11]	Kotaki H, Kando M, Dewa H, Kondo S, Watanabe T, Ueda T, Kinoshita K, Yoshii K, Uesaka M, Nakajima K 2000 Nucl. Instrum. Methods Phys. Res., Sect. A 455 166
[12]	Pogorelsky I V, Ben-Zvi I, Hirose T, Kashiwagi S, Yakimenko V, Kusche K, Siddons P, Skaritka J, Kumita T, Tsunemi A, Omori T, Urakawa J, Washio M, Yokoya K, Okugi T, Liu Y, He P, Cline D 2000 Phys. Rev. ST Accel. Beams 3 090702
[13]	Uesaka M, Kotaki H, Nakajima K, Harano H, Kinoshita K, Watanabe T, Ueda T, Yoshii K, Kando M, Dewa H, Kondo S, Sakai F 2000 Nucl. Instrum. Methods Phys. Res., A 455 90
[14]	Catravas P, Esarey E, Leemans W P 2001 Meas. Sci. Technol. 12 1828
[15]	Hartemann F V, Baldis H A, Kerman A K, Foll A L, Luhmann J, Rupp B 2001 Phys. Rev. E 64 016501
[16]	Chouffani K, Wells D, Harmon F, Jones J, Lancaster G 2002 Nucl. Instrum. Methods Phys. Res. A 495 95
[17]	Sakai I, Aoki T, Dobashi K, Fukuda M, Higurashi A, Hirose T, Iimura T, Kurihara Y, Okugi T, Omori T, Urakawa J, Washio M, Yokoya K 2003 Phys. Rev. ST Accel. Beams 6 091001
[18]	Brown W J, Anderson S G, Barty C P J, Betts S M, Booth R, Crane J K, Cross R R, Fittinghoff D N, Gibson D J, Hartemann F V, Hartouni E P, Kuba J, Sage G P L, Slaughter D R, Tremaine A M, J.Wootton A, Springer P T 2004 Phys. Rev. ST Accel. Beams 7 060702
[19]	Schwoerer H, Liesfeld B, Schlenvoigt H P, Amthor K U, Sauerbrey R 2006 Phys. Rev. Lett. 96 014802
[20]	Babzien M, Ben-Zvi I, Kusche K, Pavlishin I V, Pogorelsky I V, Siddons D P, Yakimenko V, Cline D, Zhou F, Hirose T, Kamiya Y, Kumita T, Omori T, Urakawa J, Yokoya K 2006 Phys. Rev. Lett. 96 054802
[21]	Yakimenko V, Pogorelsky I V 2006 Phys. Rev. ST Accel. Beams 9 091001
[22]	Priebe G, Laundy D, Macdonald M A, Diakun G P, Jamison S P, Jones L B, Holder D J, Smith S L, Phillips P J, Fell B D, Sheehy B, Naumova N, Sokolov I V, Ter-Avetisyan S, Spohr K, Krafft G A, Rosenzweig J B, Schramm U, Grüner F, Hirst G J, Collier J, Chattopadhyay S, Seddon E A 2008 Laser Part. Beams 26 649
[23]	Tang C, Huang W, Li R, Du Y, Yan L, JiaruShi, Du Q, Yu P, Chen H, Du T, Cheng C, Lin Y 2009 Nucl. Instrum. Methods Phys. Res. A 608 s70
[24]	Albert F, Anderson S G, Gibson D J, Hagmann C A, Johnson M S, Messerly M, Semenov V, Shverdin M Y, Rusnak B, Tremaine A M, Hartemann F V, Siders C W, McNabb D P, Barty C P J 2010 Phys. Rev. ST Accel. Beams 13 070704
[25]	Gibson D J, Albert F, Anderson S G, Betts S M, Messerly M J, Phan H H, Semenov V A, Shverdin M Y, Tremaine A M, Hartemann F V, Siders C W, McNabb D P, Barty C P J 2010 Phys. Rev. ST Accel. Beams 13 070703
[26]	Sarachik E S, Schappert G T 1970 Phys. Rev. D 1 2738
[27]	Watson G N 1965 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press) p14—667
[28]	Dattoli G, Giannessi L, Mezi L, Torre A 1990 Nuovo Cimento 105B 327

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