• Photonics Research
  • Vol. 10, Issue 2, 289 (2022)
Dayong Wang1、2, Duoxuan Ma1, Kunlun Li1, Yaya Zhang1, Jie Zhao1、2, Yunxin Wang1、2, and Lu Rong1、2、*
Author Affiliations
  • 1College of Physics and Optoelectronics, Faculty of Science, Beijing University of Technology, Beijing 100124, China
  • 2Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Beijing 100124, China
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    DOI: 10.1364/PRJ.442388 Cite this Article Set citation alerts
    Dayong Wang, Duoxuan Ma, Kunlun Li, Yaya Zhang, Jie Zhao, Yunxin Wang, Lu Rong. Dynamic full-field refractive index distribution measurements using total internal reflection terahertz digital holography[J]. Photonics Research, 2022, 10(2): 289 Copy Citation Text show less

    Abstract

    Massive usage scenarios prompt the prosperity of terahertz refractive index (THz RI) measurement methods. However, they are very difficult in measuring the full-field dynamical RI distributions of either solid samples without a priori thickness or liquid samples. In this study, we propose total internal reflection THz digital holography and apply it for measuring RI distributions for both solid and liquid samples dynamically. An RI measurement model is established based on an attenuated total reflection prism with a pitching angle. The pitching angle and the field of view can be numerically calculated from the spectrogram of the off-axis Fresnel hologram, which solves the adjustment of the visually opaque prism irradiated by the invisible THz beam. Full-field RI distributions of the droplets of solid-state soy wax and distilled water are obtained and compared with THz time-domain spectroscopy. The evaporation of an ethanol solution droplet is recorded, and the variation of the RI distribution at the sample–prism interface is quantitatively visualized with a temporal resolution of 10 Hz. The proposed method greatly expands the sample range for THz RI measurements and provides unprecedented insight into investigating spontaneous and dynamic THz phenomena.
    θ1=arcsincos(β+Δθ)n1+β.

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    DD=1(1n1)2cos2(β+Δθ)cos{arcsin[cos(β+Δθ)n1+β]}sin(β+Δθ).

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    φp(x,y)=2  arctan[n1n12sin2θ1n22(x,y)n22(x,y)cosθ1].

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    Iobj(ξ,η)=|O(ξ,η)+R(ξ,η)|2=|O|2+|R|2+O*R+OR*,

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    Δθ=12arcsinλ0qηNηΔη,

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    φp(x,y)=φp(x,y)φbg(x,y)+φair,

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    n2(x,y)n1=12[1+sin22θ1tan2φp(x,y)2]1212cosθ1tanφp(x,y)2.

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    Oexp{jk[ηsin(2Δθ)+γcos(2Δθ)]},(A1)

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    Rexp[jk(ξsinφ+γcosφ)],(A2)

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    OR*+O*Rexp{jk[ξsinφηsin(2Δθ)]}+exp{jk[ξsinφ+ηsin(2Δθ)]}2cos[ξksinφ+ηksin(2Δθ)],(A3)

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    w=2πksin(2Δθ).(A4)

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    Dayong Wang, Duoxuan Ma, Kunlun Li, Yaya Zhang, Jie Zhao, Yunxin Wang, Lu Rong. Dynamic full-field refractive index distribution measurements using total internal reflection terahertz digital holography[J]. Photonics Research, 2022, 10(2): 289
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