• Laser & Optoelectronics Progress
  • Vol. 60, Issue 21, 2116003 (2023)
Long Cheng1,2, Paerhatijiang Tuersun1,2,*, Dengpan Ma1,2, Yuxia Zheng1,2, and Remilai Abulaiti1,2
Author Affiliations
  • 1School of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi 830054, Xinjiang , China
  • 2Key Laboratory of Mineral Luminescent Material and Microstructure of Xinjiang, Urumqi 830054, Xinjiang , China
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    DOI: 10.3788/LOP222615 Cite this Article Set citation alerts
    Long Cheng, Paerhatijiang Tuersun, Dengpan Ma, Yuxia Zheng, Remilai Abulaiti. Inversion of Complex Refractive Index of Gold Nanospheres based on Contour Intersection Method[J]. Laser & Optoelectronics Progress, 2023, 60(21): 2116003 Copy Citation Text show less
    Flowchart of the inversion phases of the contour intersection method
    Fig. 1. Flowchart of the inversion phases of the contour intersection method
    Complex refractive index of Au nanoparticles with a diameter of 50 nm at a wavelength of 632.8 nm. (a) Scattering efficiency; (b) absorption efficiency; (c) scattering efficiency and absorption efficiency isometric projection on the n-k plane are inverted by the contour intersection method
    Fig. 2. Complex refractive index of Au nanoparticles with a diameter of 50 nm at a wavelength of 632.8 nm. (a) Scattering efficiency; (b) absorption efficiency; (c) scattering efficiency and absorption efficiency isometric projection on the n-k plane are inverted by the contour intersection method
    Complex refractive index of Au nanoparticles with a diameter of 50 nm at a wavelength of 632.8 nm. (a) Scattering efficiency; (b) absorption efficiency; (c) scattering efficiency and absorption efficiency isometric projection on the n-k plane are inverted by the contour intersection method
    Fig. 3. Complex refractive index of Au nanoparticles with a diameter of 50 nm at a wavelength of 632.8 nm. (a) Scattering efficiency; (b) absorption efficiency; (c) scattering efficiency and absorption efficiency isometric projection on the n-k plane are inverted by the contour intersection method
    Complex refractive index of Au nanoparticles with a diameter of 50 nm at 632.8 nm. (a) Backscattering efficiency; (b) projection of contour lines in the n-k plane
    Fig. 4. Complex refractive index of Au nanoparticles with a diameter of 50 nm at 632.8 nm. (a) Backscattering efficiency; (b) projection of contour lines in the n-k plane
    Effect of the step length on the real (n) and imaginary (k) of the refractive index of inversion. (a) Inversion result of the real part of the refractive index; (b) relative error of the real part of the refractive index inversion result; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Fig. 5. Effect of the step length on the real (n) and imaginary (k) of the refractive index of inversion. (a) Inversion result of the real part of the refractive index; (b) relative error of the real part of the refractive index inversion result; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Average relative error of the results of the contour intersection method and the iterative method changes with the refractive index range value step. (a) Average relative error of the real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    Fig. 6. Average relative error of the results of the contour intersection method and the iterative method changes with the refractive index range value step. (a) Average relative error of the real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    Effect of size on the real (n) and imaginary (k) of the refractive index when inverted by the contour intersection method. (a) Inversion result of the real part of the refractive index; (b) the relative error of the real part of the refractive index inversion result; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Fig. 7. Effect of size on the real (n) and imaginary (k) of the refractive index when inverted by the contour intersection method. (a) Inversion result of the real part of the refractive index; (b) the relative error of the real part of the refractive index inversion result; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Average relative error of the results of the contour intersection method and the iterative method as a function of particle size. (a) Average relative error of the real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    Fig. 8. Average relative error of the results of the contour intersection method and the iterative method as a function of particle size. (a) Average relative error of the real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    Effect of measurement error on the refractive index of inversion during conformal intersection method inversion. (a) Inversion result of the real part of the refractive index; (b) relative error of the inversion result of the real part of the refractive index; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Fig. 9. Effect of measurement error on the refractive index of inversion during conformal intersection method inversion. (a) Inversion result of the real part of the refractive index; (b) relative error of the inversion result of the real part of the refractive index; (c) inversion result of the imaginary part of the refractive index; (d) relative error of the inversion result of the imaginary part of the refractive index
    Average relative error of the results of the contour intersection method and the iterative method as a result of the measurement error. (a) Average relative error of real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    Fig. 10. Average relative error of the results of the contour intersection method and the iterative method as a result of the measurement error. (a) Average relative error of real inversion result of the refractive index; (b) average relative error of the imaginary inversion result of the refractive index
    MethodnokonikiEn /%Ek /%
    Contour intersection method0.216673.524510.223.530.150.16
    Table 1. Inversion of the contour intersection method and the iterative method
    Step sizeCalculate quantityTime /sUsed internal memory /GBCPU usage /%
    0.001175016395.530.506911.60
    0.01350123.600.334311.54
    Table 2. Contour intersection method the time taken, memory occupation and CPU ratio
    Long Cheng, Paerhatijiang Tuersun, Dengpan Ma, Yuxia Zheng, Remilai Abulaiti. Inversion of Complex Refractive Index of Gold Nanospheres based on Contour Intersection Method[J]. Laser & Optoelectronics Progress, 2023, 60(21): 2116003
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