• Infrared and Laser Engineering
  • Vol. 50, Issue 3, 20200209 (2021)
Xiuwei Yang1,2,3, Dehai Zhang1, Zhongjun Xiao3, Xiangdong Li3, and Lin Zhang3
Author Affiliations
  • 1Key Laboratory of Microwave Remote Sensing, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Institute of Automation, Qilu University of Technology(Shandong Academy of Sciences), Key Laboratory of UWB & THz of Shandong Academy of Sciences, Jinan 250013, China
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    DOI: 10.3788/IRLA20200209 Cite this Article
    Xiuwei Yang, Dehai Zhang, Zhongjun Xiao, Xiangdong Li, Lin Zhang. Effect of surface roughness on THz reflection measurement[J]. Infrared and Laser Engineering, 2021, 50(3): 20200209 Copy Citation Text show less

    Abstract

    The roughness of the material surface affects the THz nondestructive testing results. Roughness of the surface can be ignored in the microwave region, but should be considered in the terahertz frequency domain. The effect of scattering caused by rough surface at terahertz frequency on the reflection spectrum was studied and discussed. By consideration of the reflection model of a single sample, the reflection signal of a rough surface can be correlated with that of a smooth surface by using the Kirchhoff approximation. In addition, the glucose tablets with different roughness were measured by THz-TDS (Terahertz time domain spectroscopy) system and their reflection spectra were analyzed. The reflection spectrum results show that due to the roughness of the surface, diffuse scattering generated by the rough surface weakens the intensity of the reflection spectrum at the receiver. In order to reduce the influence of the roughness on the spectrum, a spectral Gaussian compensation method was proposed, which can restore the spectral characteristics of the smooth surface. The power spectrum of 360 mesh roughness was increased by about 3 dB and 9 dB at 0.5 THz and 1 THz, respectively. Therefore, it can be envisaged that the proposed rough-surface spectral compensation method has a specific reference value in the development of the THz nondestructive testing technology in the future.
    ${r_{ij}} = \frac{{{{\tilde n}_j} - {{\tilde n}_i}}}{{{{{\tilde n} }_j} + {{\tilde n}_i}}}$(1)

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    ${t_{ij}} = \frac{{2{{{\tilde n} }_i}}}{{{{{\tilde n} }_j} + {{{\tilde n} }_i}}}$(2)

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    ${E_{r1}}(f) = {r_{01}}{E_{\rm in}}(f)p(f,d)$(3)

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    ${E_{r2}}(f) = {t_{01}}{({r_{12}})^2}{E_{\rm in}}(f)p(f,d)$(4)

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    ${E_{r3}}(f) = {t_{01}}{({r_{12}})^3}{r_{10}}{t_{10}}{E_{\rm in}}(f)p{(f,d)^2}$(5)

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    ${E_{rn}}(f) = {t_{01}}{({r_{12}})^n}{({r_{10}})^{n - 2}}{t_{10}}{E_{\rm in}}(f)p{(f,d)^{n - 1}}$(6)

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    $p(f,d) = \exp \left(\frac{{ - j{\tilde n} (f)fd}}{c}\right)$(7)

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    ${E_{R_{{\rm total}}}}(f) = \sum\nolimits_{i = 1}^\infty {{E_i} = \frac{{{r_{01}}(f) + {r_{12}}(f)p_1^{ - 2}(f,d)}}{{1 + {r_{01}}(f){r_{12}}(f)p_1^{ - 2}(f,d)}}} {E_{\rm in}}(f)$(8)

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    $ {E_{{{R_{\rm total} }}}}(f) = \frac{{{r_{01}}(f) - p_1^{ - 2}(f,d)}}{{1 - {r_{01}}(f)p_1^{ - 2}(f,d)}}{E_{{{\rm in }}}}(f) $ (9)

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    ${R_{\rm rough}}(f) = {R_{\rm smooth}}(f){{\rm exp}{ [- {{(4\pi \sigma \nu /c)}^2]}}}$(10)

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    $h \geqslant \frac{\lambda }{{32}}{\rm{cos}}\theta $(11)

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    Xiuwei Yang, Dehai Zhang, Zhongjun Xiao, Xiangdong Li, Lin Zhang. Effect of surface roughness on THz reflection measurement[J]. Infrared and Laser Engineering, 2021, 50(3): 20200209
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