Shuo Wang; Fangshu Li; Haocheng Lu; Wenyang Zheng; Xulin Zhao; Yang Jiang; Na Li; Ya Bai; Peng Liu

doi:10.3788/LOP230448

Journals >Laser & Optoelectronics Progress >Volume 60 >Issue 7 >Page 0736001 > Article

Laser & Optoelectronics Progress
Vol. 60, Issue 7, 0736001 (2023)

Shuo Wang^1、2, Fangshu Li^1、3, Haocheng Lu^1、2, Wenyang Zheng^1、2, Xulin Zhao^1、4, Yang Jiang^1、2, Na Li^1、5、*, Ya Bai^1、2、**, and Peng Liu^1、2

Author Affiliations

¹State Key Laboratory of High Field Laser Physics and CAS Center for Excellence in Ultra-Intense Laser Science, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

³China MOE Key Laboratory of Advanced Micro-Structured Materials, Institute of Precision Optical Engineering, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

⁴Department of Physics, Shanghai University, Shanghai 200444, China

⁵School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, China

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DOI: 10.3788/LOP230448 Cite this Article Set citation alerts

Shuo Wang, Fangshu Li, Haocheng Lu, Wenyang Zheng, Xulin Zhao, Yang Jiang, Na Li, Ya Bai, Peng Liu. [J]. Laser & Optoelectronics Progress, 2023, 60(7): 0736001 Copy Citation Text

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Abstract

We investigate off-axis phase-matched terahertz (THz) radiation in laser plasma pumped by few-cycle laser pulses. We find that the THz amplitude and angular distributions in the far field are sensitively dependent on the pump pulse's focal carrier-envelope phase (CEP). Ring-like profiles of THz radiation are obtained at CEP values of 0.5 π and 1.5 π, due to the inversely symmetric local THz waveforms emitted before and after laser focus. Off-axis phase-matched THz radiation offers a tool to accurately measure the CEP of few-cycle pulses at the center of a medium.

\frac{\partial J_{e} (t)}{\partial t} + \frac{J_{e}}{τ_{e}} = \frac{E_{L} (t) q_{e}^{2}}{m_{e}} ρ_{e} (t)

，（1）

\frac{d ρ_{e} (t)}{d t} = W_{A D K} (t) [ρ_{a t} - ρ_{e} (t)]

，（2）

E_{T H z} (t) \propto \frac{\partial J_{e} (t)}{\partial t}

，（3）

W_{A D K} (t) = ω_{p} {|C_{n *}|}^{2} {(\frac{4 ω_{p}}{ω_{t}})}^{2 n * - 1} e x p (- \frac{4 ω_{p}}{3 ω_{t}})

，（4）

ω_{p} = \frac{I_{p}}{ℏ}

，（5）

ω_{t} = \frac{e E_{L} (t)}{{(2 m I_{p})}^{\frac{1}{2}}}

，（6）

n * = Z {(\frac{I_{p h}}{I_{p}})}^{\frac{1}{2}}

，（7）

{|C_{n *}|}^{2} = 2^{2 n *} {[n * Γ (n * + 1) Γ (n *)]}^{- 1}

，（8）

\begin{matrix} {\tilde{E}}_{F} (x, y, Ω) \propto \\ \sum_{j = 1}^{\frac{V}{Δ v}} {\tilde{E}}_{T H z} (j) \frac{e x p [i k_{T H z} R (j)]}{R (j)} e x p [i n_{g} k_{T H z} z (j)], \end{matrix}

（9）

\begin{matrix} E_{L} (z, r, t) = E_{0} \frac{w_{0}}{w_{z}} e x p (- \frac{r^{2}}{w_{z}^{2}} - \frac{t^{2}}{g^{2}}) e x p [\frac{i k r^{2} z}{2 (z^{2} + z_{R}^{2})}] \\ e x p [- i a r c t a n (\frac{z}{z_{R}})] e x p [i (k z - ω t + φ_{0})], \end{matrix}

（10）

Shuo Wang, Fangshu Li, Haocheng Lu, Wenyang Zheng, Xulin Zhao, Yang Jiang, Na Li, Ya Bai, Peng Liu. [J]. Laser & Optoelectronics Progress, 2023, 60(7): 0736001

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