Parameter optimization of self-reflecting all-laser-driven Thomson scattering based on laser wakefield acceleration

Ye Han-Sheng; Gu Yu-Qiu; Huang Wen-Hui; Wu Yu-Chi; Tan Fang; Zhang Xiao-Hui; Wang Shao-Yi

doi:10.7498/aps.70.20210549

Abstract

All-laser-driven Thomson scattering based on laser wakefield acceleration can provide high quality X-ray and greatly reduce the source size. Compared with two-pulse setting, the self-reflecting setting can reduce the requirement for temporal and spatial synchronization in experiment. However, it is difficult to optimize X-ray because Thomson scattering is coupled with laser wakefield acceleration in this process. In this paper, we correct theory formula through numerical simulation, and analyze the parameters quantitatively in laser wakefield acceleration and Thomson scattering, such as spot size, duration and energy of laser and electron beam, and reflectivity of plasma mirror. Then we can trace the parameters by using the modified formula rather than the numerical simulation with similar accuracy and less time. The modified formula is also used to optimize the self-reflecting all-laser-driven Thomson scattering X-ray under the given laser conditions. The optimal X-ray luminance and photon number can be obtained by changing the plasma density and the position of the plasma mirror.

Keywords:

Authors and contacts

1.
Key Laboratory of Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
2.
Department of Engineering Physics, Tsinghua University, Beijing 100084, China
3.
Department of Engineering Physics, Shenzhen Technology University, Shenzhen 518118, China

Corresponding author: Gu Yu-Qiu, yqgu@caep.cn

Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2016YFA0401100) and the Science Challenge Project, China (Grant No. TZ2018005)

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References

[1]	Albert F, Thomas A G R 2016 Plasma Phys. Controlled Fusion 58 103001 Google Scholar
[2]	Corde S, Ta Phuoc K, Lambert G, Fitour R, Malka V, Rousse A, Beck A, Lefebvre E 2013 Rev. Mod. Phys. 85 1 Google Scholar
[3]	Esarey E, Schroeder C B, Leemans W P 2009 Rev. Mod. Phys. 81 1229 Google Scholar
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[23]	Couperus J P, Pausch R, Kohler A, Zarini O, Kramer J M, Garten M, Huebl A, Gebhardt R, Helbig U, Bock S, Zeil K, Debus A, Bussmann M, Schramm U, Irman A 2017 Nat. Commun. 8 487 Google Scholar
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[28]	Swanson K K, Tsai H E, Barber S K, Lehe R, Mao H S, Steinke S, van Tilborg J, Nakamura K, Geddes C G R, Schroeder C B, Esarey E, Leemans W P 2017 Phys. Rev. Accel. Beams 20 051301 Google Scholar
[29]	Thaury F Q C, Anna L, Tiberio C 2007 Nat. Phys. 3 424 Google Scholar
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Cited By

图 1 自反射全光汤姆孙散射示意图

Figure 1. Schematic of self-reflecting all-laser-driven Thomson scattering.

DownLoad: Full-Size Img PowerPoint

图 2 LWFA中激光的参量的变化　(a) 焦斑; (b) 脉宽; (c) 能量(图中能量低于能量截止线时包含激光能量和尾场能量); (d) 激光能量衰减长度

Figure 2. Evolution of laser parameters in LWFA: (a) Laser spot size; (b) laser duration; (c) laser energy (energy in figure contains laser parts and wakefield parts when it is below dashed line); (d) pump depletion length.

DownLoad: Full-Size Img PowerPoint

图 3 LWFA中电子的参量变化　(a)电子平均能量; (b)失相长度; (c) 0.5 mm处轴线上的纵向尾场分布; (d)电子电荷量; (e)密度为4 × 10¹⁸ cm^–3时电子束焦斑和脉宽; (f) 密度为4 × 10¹⁸ cm^–3时电子束发散角

Figure 3. Evolution of electron parameters in LWFA: (a) Average energy; (b) dephasing length; (c) longitudinal electric field on axis when d = 0.5 mm; (d) charge; (e) spot size and duration when n_p = 4 × 10¹⁸ cm^–3; (f) divergence angle when n_p = 4 × 10¹⁸ cm^–3.

DownLoad: Full-Size Img PowerPoint

图 4 PM反射率

Figure 4. Reflectivity of PM.

DownLoad: Full-Size Img PowerPoint

图 5 汤姆孙散射X射线参数　(a) 能谱; (b) 角分布

Figure 5. X-ray from Thomson sacttering: (a) Energy spectrum; (b) angle divergence distribution.

DownLoad: Full-Size Img PowerPoint

图 6 X射线优化结果　(a) 亮度; (b) 光子数; (c) 光子能量

Figure 6. Optimization results of X-ray: (a) Brightness; (b) photon number; (c) photon energy.

DownLoad: Full-Size Img PowerPoint

表 1 等离子体密度4 × 10¹⁸ cm^–3, PM位置2.5 mm时修正后的公式计算和数值模拟的部分参数比较

Table 1. Comparison of modified formula calculation and numerical simulation when plasma density is 4 × 10¹⁸ cm^–3 and PM position is 2.5 mm away.

方法	经过LWFA的激光			电子束			X射线
方法	焦斑/μm	脉宽/fs	能量损失/(%·mm^–1)	能量/MeV	焦斑/μm	发散角/mrad	光子数/10⁷	亮度/(10¹⁸photons·s^–1· mm^–2·mrad^–2· (0.1%BW)^–1)
修正公式	10	7	17	460	2.0	18	4.1	1.3
数值模拟	10	6	17	450	1.8	16	4.0	1.6

DownLoad: CSV

[1]	Albert F, Thomas A G R 2016 Plasma Phys. Controlled Fusion 58 103001 Google Scholar
[2]	Corde S, Ta Phuoc K, Lambert G, Fitour R, Malka V, Rousse A, Beck A, Lefebvre E 2013 Rev. Mod. Phys. 85 1 Google Scholar
[3]	Esarey E, Schroeder C B, Leemans W P 2009 Rev. Mod. Phys. 81 1229 Google Scholar
[4]	Gonsalves A J, Nakamura K, Daniels J, Benedetti C, Pieronek C, de Raadt T C H, Steinke S, Bin J H, Bulanov S S, van Tilborg J, Geddes C G R, Schroeder C B, Toth C, Esarey E, Swanson K, Fan-Chiang L, Bagdasarov G, Bobrova N, Gasilov V, Korn G, Sasorov P, Leemans W P 2019 Phys. Rev. Lett. 122 084801 Google Scholar
[5]	Wang W T, Li W T, Liu J S, Zhang Z J, Qi R, Yu C H, Liu J Q, Fang M, Qin Z Y, Wang C, Xu Y, Wu F X, Leng Y X, Li R X, Xu Z Z 2016 Phys. Rev. Lett. 117 124801 Google Scholar
[6]	Umstadter D P 2015 Contemp. Phys. 56 417 Google Scholar
[7]	Chen S, Powers N D, Ghebregziabher I, Maharjan C M, Liu C, Golovin G, Banerjee S, Zhang J, Cunningham N, Moorti A, Clarke S, Pozzi S, Umstadter D P 2013 Phys. Rev. Lett. 110 155003 Google Scholar
[8]	Liu C, Golovin G, Chen S, Zhang J, Zhao B, Haden D, Banerjee S, Silano J, Karwowski H, Umstadter D 2014 Opt. Lett. 39 4132 Google Scholar
[9]	Powers N D, Ghebregziabher I, Golovin G, Liu C, Chen S, Banerjee S, Zhang J, Umstadter D P 2014 Nat. Photonics 8 28 Google Scholar
[10]	Yan W, Fruhling C, Golovin G, Haden D, Luo J, Zhang P, Zhao B, Zhang J, Liu C, Chen M, Chen S, Banerjee S, Umstadter D 2017 Nat. Photonics 11 514 Google Scholar
[11]	Sarri G, Corvan D J, Schumaker W, Cole J, Piazza A Di, Ahmed H, Harvey C, Keitel C H, Krushelnick K, Mangles S P D, Najmudin Z, Symes D, Thomas A G R, Yeung M, Zhao Z, Zepf M 2014 Phys. Rev. Lett. 113 224801 Google Scholar
[12]	Ta Phuoc K, Corde S, Thaury C, Malka V, Tafzi A, Goddet J P, Shah R C, Sebban S, Rousse A 2012 Nat. Photonics 6 308 Google Scholar
[13]	Shaw J M, Bernstein A C, Zgadzaj R, Hannasch A, LaBerge M, Chang Y Y, Weichman K, Welch J, Henderson W, Tsai H E, Fazel N, Wang X, Ditmire T, Donovan M, Dyer G, Gaul E, Gordon J, Martinez M, Spinks M, Toncian T, Wagner C, Downer M C 2017 arXiv: 1705.08637 vl[physics.acc-ph]
[14]	Tsai H E, Wang X M, Shaw J M, Li Z Y, Arefiev A V, Zhang X, Zgadzaj R, Henderson W, Khudik V, Shvets G, Downer M C 2015 Phys. Plasmas 22 023106 Google Scholar
[15]	Bruemmer T, Debus A, Pausch R, Osterhoff J, Gruener F 2020 Phys. Rev. Accel. Beams 23 031601 Google Scholar
[16]	Fonseca R 2002 Proceedings of the Second International Conference on Computational Science—ICCS Amsterdam, Netherlands, April 21–24, 2002 p342
[17]	Lu W 2006 Ph. D. Dissertation (Los Angeles: University of California)
[18]	Chen P, Hortonsmith G, Ohgaki T 1995 Nucl. Instrum. Methods Phys. Res., Sect. A 335 107 Google Scholar
[19]	王广辉, 王晓方, 董克攻 2012 物理学报 61 165201 Google Scholar Wang G H, Wang X F, Dong K G 2012 Acta Phys. Sin. 61 165201 Google Scholar
[20]	Decker C D, Mori W B, Tzeng K C, Katsouleas T 1996 Phys. Plasmas 3 2047 Google Scholar
[21]	Li G, Ain Q, Li S, Saeed M, Papp D, Kamperidis C, Hafz N A M 2020 Plasma Phys. Controlled Fusion 62 055004 Google Scholar
[22]	Gotzfried J, Dopp A, Gilljohann M, Foerster M, Ding H, Schindler S, Schilling G, Buck A, Veisz L, Karsch S 2020 Phys. Rev. X 10 041015 Google Scholar
[23]	Couperus J P, Pausch R, Kohler A, Zarini O, Kramer J M, Garten M, Huebl A, Gebhardt R, Helbig U, Bock S, Zeil K, Debus A, Bussmann M, Schramm U, Irman A 2017 Nat. Commun. 8 487 Google Scholar
[24]	Modena Z N A, Dangor A E, Clayton C E, Marsh K A, Joshi C, MalkaV, Darrow C B, Danson C N, Neely D, Walsh F N 1995 Nature 377 606 Google Scholar
[25]	Amorim L D, Najafabadi N V 2018 Advanced Accelerator Concepts Breckenridge, Colorado, USA, August 12–17, 2018 p345
[26]	Pollock B B, Clayton C E, Ralph J E, Albert F, Davidson A, Divol L, Filip C, Glenzer S H, Herpoldt K, Lu W, Marsh K A, Meinecke J, Mori W B, Pak A, Rensink T C, Ross J S, Shaw J, Tynan G R, Joshi C, Froula D H 2011 Phys. Rev. Lett. 107 045001 Google Scholar
[27]	Gonsalves A J, Nakamura K, Lin C, Panasenko D, Shiraishi S, Sokollik T, Benedetti C, Schroeder C B, Geddes C G R, Tilborg J V, Osterhoff J, Esarey E, Toth C, Leemans W P 2011 Nat. Phys. 7 862 Google Scholar
[28]	Swanson K K, Tsai H E, Barber S K, Lehe R, Mao H S, Steinke S, van Tilborg J, Nakamura K, Geddes C G R, Schroeder C B, Esarey E, Leemans W P 2017 Phys. Rev. Accel. Beams 20 051301 Google Scholar
[29]	Thaury F Q C, Anna L, Tiberio C 2007 Nat. Phys. 3 424 Google Scholar
[30]	Esarey E, Ride S K, Sprangle P 1993 Phys. Rev. E 48 3003 Google Scholar
[31]	Ride S K, Esarey E, Baine M 1995 Phys. Rev. E 52 5425 Google Scholar

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