• Chinese Optics Letters
  • Vol. 16, Issue 7, 071202 (2018)
Jiaqi Liu1,2, Wentao Li1,3,*, Jiansheng Liu1,4,**, Wentao Wang1..., Rong Qi1, Zhijun Zhang1, Changhai Yu1, Zhiyong Qin1,2, Ming Fang1,2, Ke Feng1,2, Ying Wu1,2, Cheng Wang1 and Ruxin Li1,4,5,***|Show fewer author(s)
Author Affiliations
  • 1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Department of Physics, SUPA and University of Strathclyde, Glasgow G4 0NG, UK
  • 4IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
  • 5School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
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    DOI: 10.3788/COL201816.071202 Cite this Article Set citation alerts
    Jiaqi Liu, Wentao Li, Jiansheng Liu, Wentao Wang, Rong Qi, Zhijun Zhang, Changhai Yu, Zhiyong Qin, Ming Fang, Ke Feng, Ying Wu, Cheng Wang, Ruxin Li, "Faraday-rotation self-interference method for electron beam duration measurement in the laser wakefield accelerator," Chin. Opt. Lett. 16, 071202 (2018) Copy Citation Text show less

    Abstract

    Real-time single-shot measurement of the femtosecond electron beam duration in laser wakefield accelerators is discussed for both experimental design and theoretical analysis that combines polarimetry and interferometry. The probe pulse polarization is rotated by the azimuthal magnetic field of the electron beam and then introduced into a Michelson-type interferometer for self-interference. The electron beam duration is obtained from the region size of the interference fringes, which is independent of the pulse width of the probe laser. Using a larger magnification system or incident angle, the measurement resolution can be less than 1 fs.
    φrot=e2mecncrlneBφ·ds,(1)

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    φrot(y,z)=φ0exp[4ln2(y2rmag2+z2Lmag2)].(2)

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    φrot(y,z,t)=φ0exp{4ln2[y2rmag2+(zct)2Lmag2+4rmag2]}.(3)

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    E(x,y,z,t)=E0φ0cos(ωtkx)exp{2ln2[(xctcτpro)2+2y2rmag2+2(zct)2Lmag2+4rmag2]}.(4)

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    E(x,y,z,t)=E0φ0cos(ωtkx)exp{2ln2[(xctcτpro)2+2y2N12rmag2+2(z+xct)2N12(Lmag2+4rmag2)]}.(5)

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    E1(x,y,z,t)=12E0φ0cos(ωtkz)exp{2ln2[(zctcτpro)2+2y2N12rmag2+2(zxct)2N12(Lmag2+4rmag2)]},(6)

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    E2(x,y,z,t)=12E0φ0cos(ωtkz)exp{2ln2[(xctcτpro)2+2y2N12rmag2+2(z+xct)2N12(Lmag2+4rmag2)]}.(7)

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    E1(x,y,z,t)12E0φ0cos[ωtk(z+xθ)]exp{2ln2[(zctcτpro)2+2y2N12rmag2+2(zxct)2N12(Lmag2+4rmag2)]}.(8)

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    I(x,y,z,t)=|E1(x,y,z,t)+E2(x,y,z,t)|2.(9)

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    Io(x,y)=τproτpro|E1(x,y,z,t)+E2(x,y,z,t)|2δ(zz)dt.(10)

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    I12(x,y)I12τproτprocos(kxθ)exp{4ln2[(zct)2(cτpro)2+2y2N12rmag2+2x2+2(zct)2N12(Lmag2+4rmag2)]}dt.(11)

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    Jiaqi Liu, Wentao Li, Jiansheng Liu, Wentao Wang, Rong Qi, Zhijun Zhang, Changhai Yu, Zhiyong Qin, Ming Fang, Ke Feng, Ying Wu, Cheng Wang, Ruxin Li, "Faraday-rotation self-interference method for electron beam duration measurement in the laser wakefield accelerator," Chin. Opt. Lett. 16, 071202 (2018)
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