• Chinese Optics Letters
  • Vol. 14, Issue 8, 081203 (2016)
Xingxing Liu1、2、3, Shaowei Wang1、2、*, Hui Xia1, Xutao Zhang1、3, Ruonan Ji1、2、3, Tianxin Li1、2, and Wei Lu1、2
Author Affiliations
  • 1National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
  • 2Shanghai Engineering Research Center of Energy-Saving Coatings, Shanghai 200083, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
  • show less
    DOI: 10.3788/COL201614.081203 Cite this Article Set citation alerts
    Xingxing Liu, Shaowei Wang, Hui Xia, Xutao Zhang, Ruonan Ji, Tianxin Li, Wei Lu. Interference-aided spectrum-fitting method for accurate film thickness determination[J]. Chinese Optics Letters, 2016, 14(8): 081203 Copy Citation Text show less
    Structure diagram of (a) traditional method and (c) interference-aided spectrum-fitting method. Simulated transmission spectra of (b) traditional method and (d) interference-aided spectrum-fitting method with different thickness undetermined films.
    Fig. 1. Structure diagram of (a) traditional method and (c) interference-aided spectrum-fitting method. Simulated transmission spectra of (b) traditional method and (d) interference-aided spectrum-fitting method with different thickness undetermined films.
    (a) Simulated peak shift and amplitude caused by undetermined film vs. refractive index difference between interference layer and substrate, and (b) simulated peak shift and peak position versus thickness of interference layer. The refractive indexes and thicknesses of the substrate and undetermined film were set as 1.52 and 1.70, 1.0 and 5.0 nm in this simulation, respectively.
    Fig. 2. (a) Simulated peak shift and amplitude caused by undetermined film vs. refractive index difference between interference layer and substrate, and (b) simulated peak shift and peak position versus thickness of interference layer. The refractive indexes and thicknesses of the substrate and undetermined film were set as 1.52 and 1.70, 1.0 and 5.0 nm in this simulation, respectively.
    (a) Measured (taken by Lambda 950) and fitted transmission spectra of interference layer Nb2O5 deposited on K9 glass; measured (taken by Lambda 950), fitted transmission spectra and AFM results of (b) 3.5, (c) 5.4, (d) 7.3, (e) 11.8, and (f) 15.8 nm ultra-thin films on interference layer.
    Fig. 3. (a) Measured (taken by Lambda 950) and fitted transmission spectra of interference layer Nb2O5 deposited on K9 glass; measured (taken by Lambda 950), fitted transmission spectra and AFM results of (b) 3.5, (c) 5.4, (d) 7.3, (e) 11.8, and (f) 15.8 nm ultra-thin films on interference layer.
    (a) Transmission spectra of interference layers n=1.9 and 2.1 and structure diagram of double interference-aided spectra fitting method, and (b) peak shift vs. thickness of undetermined films on interference layers n=1.9 and 2.1.
    Fig. 4. (a) Transmission spectra of interference layers n=1.9 and 2.1 and structure diagram of double interference-aided spectra fitting method, and (b) peak shift vs. thickness of undetermined films on interference layers n=1.9 and 2.1.
    dU/nmdU/nm
    nU=2.10nU=1.70nU=1.52
    Traditional method (error)Our method (error)Traditional method (error)Our method (error)Traditional method (error)Our method (error)
    15.014.9(−1%)15.0(0%)14.8(−1%)15.0(0%)59.3(293%)15.0(0%)
    10.011.1(11%)10.0(0%)15.1(51%)10.0(0%)59.0(490%)10.0(0%)
    7.08.7(24%)7.0(0%)15.2(117%)7.0(0%)139.4(1891%)7.0(0%)
    5.07.1(42%)5.0(0%)12.7(154%)5.0(0%)142.2(2744%)5.0(0%)
    3.07.3(143%)3.0(0%)8.9(197%)3.0(0%)132.2(4307%)3.0(0%)
    2.07.5(275%)1.9(−5%)9.0(350%)2.1(5%)203.7(10085%)1.4(−30%)
    1.07.6(660%)1.0(0%)9.1(810%)1.3(30%)254.2(25320%)1.5(50%)
    Table 1. Comparison of Simulated Thickness Determination Results Between Traditional and Our Methods with SNR of 1000∶1
    MethodThickness of SiO2/nm
    AFM3.55.47.311.812.915.8
    Lambda 950 with interference-aided method3.15.67.811.113.516.5
    Fiber spectrometer with interference-aided method1.31.43.15.810.112.2
    Lambda 950 with double interference-aided method3.45.57.611.313.115.9
    Fiber spectrometer with double interference-aided method3.25.16.810.913.615.5
    Table 2. Results of Ultra-thin Film Thickness Experimentally Determined with Different Methods
    Xingxing Liu, Shaowei Wang, Hui Xia, Xutao Zhang, Ruonan Ji, Tianxin Li, Wei Lu. Interference-aided spectrum-fitting method for accurate film thickness determination[J]. Chinese Optics Letters, 2016, 14(8): 081203
    Download Citation