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Preparation and properties of Ga2S3-Sb2S3-Ag2S chalcogenide glasses and fibers

Mi Hao-Ting Yang An-Ping Huang Zi-Xuan Tian Kang-Zhen Li Yue-Bing Ma Cheng Liu Zi-Jun Shen Xiang Yang Zhi-Yong

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Preparation and properties of Ga2S3-Sb2S3-Ag2S chalcogenide glasses and fibers

Mi Hao-Ting, Yang An-Ping, Huang Zi-Xuan, Tian Kang-Zhen, Li Yue-Bing, Ma Cheng, Liu Zi-Jun, Shen Xiang, Yang Zhi-Yong
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  • With the rapid development of infrared technology and the wide applications of infrared optical components, the demand for infrared optical materials has risen significantly. Chalcogenide glass has been considered as one of the most popular infrared optical materials because of its wide infrared transmission range, high refractive index, low phonon energy, good rheological properties, low cost, etc. In this work, a new type of Ga2S3-Sb2S3-Ag2S chalcogenide glass system is reported, and its glass forming domain is determined. The thermal stability and optical property, mid-infrared (MIR) emission of rare earth dopant, and fiber-forming property for the glasses are studied. The potential applications of the glasses in the MIR region are also evaluated. The experimental results show that the Ga2S3-Sb2S3-Ag2S system has a glass forming domain of ~10%–30% Ga2S3, ~60%–80% Sb2S3 and ~0–15% Ag2S (all in molar percentage). These glasses have a wide infrared transmission range of ~0.8–13.5 μm, relatively high linear refractive indices of~2.564–2.713 (at 10 μm), and relatviely large third-order nonlinear refractive indices of ~9.7×10–14–15.7×10–14 cm2/W (at 1.55 μm). These excellent properties make the Ga2S3-Sb2S3-Ag2S glass promising material in the fields of infrared thermal imaging and nonlinear optics. Under the excitation of 1.32 µm laser, the rare earth dopant Dy3+ shows strong 2.91 μm and 4.41 μm MIR emissions in the glass. According to the J-O theory, the three strength parameters (Ω2, Ω4, Ω6) of Dy3+ in 0.05% weight of Dy3+ doped 20Ga2S3-75Sb2S3-5Ag2S glass are 7.38×10–20 cm2, 2.24×10–20 cm2 and 0.75×10–20 cm2, respectively. The quantum efficiencies of the 2.91 μm and 4.41 μm emissions are calculated to be 76.6% and 70.8%, respectively, while the stimulated emission cross sections of those two bands are 1.27×10–20 cm2 and 1.43×10–20 cm2, respectively. The fiber based on 20Ga2S3-75Sb2S3-5Ag2S: 0.05% Dy3+ core glass and 20Ga2S3-70Sb2S3-10Ag2S cladding glass is fabricated by rod tube method. The fiber has good transmission performance in the 2–8 μm wavelength range, and the minimum loss is ~3.5 dB/m at 5.7 μm. The Dy3+ ions show intense 2.93 μm and 4.45 μm MIR emissions in the fibers under 1.32 μm excitation. These results indicate that the Dy3+ doped Ga2S3-Sb2S3-Ag2S glass fiber can be a promising candidate for MIR fiber laser medium.
      Corresponding author: Yang An-Ping, apyang@jsnu.edu.cn ; Yang Zhi-Yong, yangzhiyong@jsnu.edu.cn
    • Funds: Project supported by the Joint Funds of the National Natural Science Foundation of China (Grant No. U21A2056) and Key Research and Development Program of Zhejiang Province, China (Grant No. 2021C01025)
    [1]

    Cai D W, Xie Y, Guo X, Wang P, and Tong L M 2021 Photonics 8 497Google Scholar

    [2]

    Karami E, Tavoosi M, Ghasemi A, Loghmanestarki M R 2019 Ceram. Int. 45 7956Google Scholar

    [3]

    Zhang L F, Guan F, Zhang L, Jiang Y G 2022 Opt. Mater. Express 12 1683Google Scholar

    [4]

    Zhu J Q, Zhu H, Xu H L, Weng Z P, Wu H Z 2018 Infrared Phys. Technol. 92 13Google Scholar

    [5]

    Shiryaev V S, Churbanov M F 2017 J. Non-Cryst. Solids 475 1Google Scholar

    [6]

    Gui Y M, Guan Y N, Zhang X S, Zhang C Q, Xia K L, He L, Shen X, Liu Z J 2022 Opt. Express 30 21491Google Scholar

    [7]

    Liu L T, Chen F Y, Cui J, Xiao X S, Xu Y T, Hou C Q, Cui X X, Guo H T 2021 Ceram. Int. 47 6388Google Scholar

    [8]

    Lucas P, Yang Z Y, Fah M K, Luo T, Jiang S B, Boussard-Pledel C, Anne M-L, and Bureau B 2013 Opt. Mater. Express 3 1049Google Scholar

    [9]

    Zhang X H, Bureau B, Lucas P, Boussard-Pledel C, Lucas J 2008 Chemistry 14 432Google Scholar

    [10]

    田康振, 胡永胜, 任和, 祁思胜, 杨安平, 冯宪, 杨志勇 2021 70 047801Google Scholar

    Tian K Z, Hu Y S, Ren H, Qi S S, Yang A P, Feng X, Yang Z Y 2021 Acta Phys. Sin. 70 047801Google Scholar

    [11]

    Li R, Zhou W J, Zhou C F, Qi Q Y, Li Y W, Yang Y T, Zhang W, Zhang P Q, Dai S X, Xu T F 2022 Ceram. Int. 48 7956

    [12]

    Yang A P, Zhang M J, Li L, Wang Y W, Zhang B, Yang Z Y, Tang D Y 2016 J. Am. Ceram. S℃. 99 12Google Scholar

    [13]

    Huang X Y, Jiao Q, Lin C G, Ma H L, Zhang X H, Zhu E W, Liu X Y, Dai S X, Xu T F 2018 Sci. Rep. 8 1699Google Scholar

    [14]

    Qiu J H, Yang A P, Zhang M J, Li L, Zhang B, Yang Z Y, Tang D Y 2017 J. Am. Ceram. Soc. 100 5107Google Scholar

    [15]

    Yang A P, Qiu J H, Zhang M J, Ren H, Zhai C C, Qi S S, Zhang B, Tang D Y, Yang Z Y 2017 J. Alloys Compd. 695 1237Google Scholar

    [16]

    Sun M Y, Yang A P, Zhang X H, Ma H L, Zhang M J, Tian K Z, Feng X, Yang Z Y 2019 J. Am. Ceram. Soc. 102 6600Google Scholar

    [17]

    杨安平, 王雨伟, 张少伟, 李兴隆, 杨志杰, 李耀程, 杨志勇 2019 68 017801Google Scholar

    Yang A P, Wang Y W, Zhang S W, Li X L, Yang Z J, Li Y C, Yang Z Y 2019 Acta Phys. Sin. 68 017801Google Scholar

    [18]

    Yang Y, Yang Z Y, Lucas P, Wang Y W, Yang Z J, Yang A P, Zhang B, Tao H Z 2016 J. Non-Cryst. Solids 440 38Google Scholar

    [19]

    Zhang M J, Li L, Li T T, Wang F, Tian K Z, Tao H Z, Feng X, Yang A P, Yang Z Y 2019 Opt. Express 27 29287Google Scholar

    [20]

    张鸣杰, 杨安平, 张斌, 任和, 郭威, 杨艳, 翟诚诚, 王雨伟, 杨志勇, 唐定远 2015 中国激光 42 08060001

    Zhang M J, Yang A P, Zhang B, Ren H, Guo W, Yang Y, Zhai C C, Wang Y W, Yang Z Y, Tang D Y 2015 Chin. J. Lasers 42 08060001

    [21]

    Zhang M J, Yang Z Y, Zhao H, Yang A P, Li L, Tao H Z 2017 J. Alloys Compd. 722 166Google Scholar

    [22]

    Wang T, Gai X, Wei W H, Wang R P, Yang Z Y, Shen X, Madden S, Luther-Davies B 2014 Opt. Mater. Express 4 1011Google Scholar

    [23]

    Boyd R, Masters B 2009 J. Biomed. Opt. 14 029902Google Scholar

    [24]

    Yang Z Y, Li B T, He F, Luo L, Chen W 2008 J. Non-Cryst. Solids 354 1198Google Scholar

    [25]

    Shiryaev V S, Sukhanov M V, Velmuzhov A P, Karaksina E V, Kotereva T V, Snopatin G E, Denker B I, Galagan B I, Sverchkov S E, Koltashev V V, Plotnichenko V G 2021 J. Non-Cryst. Solids 567 120939Google Scholar

    [26]

    Shiryaev V S, Velmuzhov A P, Tang Z Q, Churbanov M F, Seddon A B 2014 Opt. Mater. 37 18Google Scholar

    [27]

    郭威, 张斌, 翟诚诚, 祁思胜, 余懿, 杨安平, 李雷, 杨志勇, 王荣平, 唐定远, 陶光明, Luther-Davies Barry 2016 无机材料学报 31 180Google Scholar

    Guo W, Zhang B, Zhai C C, Qi S S, Yu Y, Yang A P, Li L, Yang Z Y, Wang R P, Tang D Y, Tao G M, Luther-Davies B 2016 J. Inorg. Mater. 31 180Google Scholar

    [28]

    Tichy L, Ticha H 1995 J. Non-Cryst. Solids 189 141Google Scholar

    [29]

    Luo Y R 2007 Comprehensive Handbook of Chemical Bond Energies (Boca Raton: CRC Press) p1687

    [30]

    Dean J A 1998 Lange's handbook of chemistry (New York: McGraw-Hill Professional) p1561

    [31]

    Fraenkl M, Frumarova B, Podzemna V, Slang S, Benes L, Vlcek M, Wagner T 2018 J. Non-Cryst. Solids 499 412Google Scholar

    [32]

    Ma B C, Jiao Q, Zhang Y T, Sun X, Yin G L, Zhang X H, Ma H L, Liu X Y, Dai S X 2020 Ceram. Int. 46 6544Google Scholar

    [33]

    Yang Z Y, Luo L, Chen W 2006 J. Am. Ceram. Soc. 89 2327

    [34]

    崔茂林 1987 玻璃工艺学(北京: 中国轻工业出版社) 第140—153页

    Cui M L 1987 Glass Technology (Beijing: Light Industry Press) pp140–153 (in Chinese)

    [35]

    Dimitrov V, Komatsu T 2010 J. Univ. Chem. Technol. Metall. 45 219

    [36]

    Nakamoto K 2009 Infrared and Raman Spectra of Inorganic and Coordination Compounds (New York: John Wiley) pp419– 427

    [37]

    Gleason B, Richardson K, Sisken L, Smith C 2016 Int. J. Appl. Glass Sci. 7 374Google Scholar

    [38]

    Gai X, Choi D-Y, Madden S, Yang Z Y, Wang R P, Luther-Davies B 2012 Opt. Lett. 37 3870Google Scholar

    [39]

    Choia Y G, Song J H 2009 J. Non-Cryst. Solids 355 48

    [40]

    Judd B 1962 Phys. Rev. 127 750Google Scholar

    [41]

    Ofelt G 1962 J. Chem. Phys. 37 511Google Scholar

    [42]

    Chen D Q, Wang Y S, Yu Y L, Ma E, Hu Z J 2005 J. Phys. Condens. Matter 17 6545Google Scholar

    [43]

    Yang A P, Sun M Y, Ren H, Lin H X, Feng X, Yang Z Y 2021 J. Lumin. 237 118169Google Scholar

    [44]

    Zhang M J, Yang A P, Peng Y F, Zhang B, Ren H, Guo W, Yang Y, Zhai C C, Wang Y W, Yang Z Y, Tang D Y 2015 Mater. Res. Bull. 70 55Google Scholar

    [45]

    Schweizer T, Hewak D W, Samson B N, Payne D N 1996 Opt. Lett. 21 1594Google Scholar

  • 图 1  Ga2S3-Sb2S3-Ag2S体系的玻璃形成区

    Figure 1.  Glass forming region of Ga2S3-Sb2S3-Ag2S system.

    图 2  厚度为2 mm xGa2S3-ySb2S3-zAg2S 玻璃的透射光谱

    Figure 2.  Transmission spectra of xGa2S3-ySb2S3-zAg2S glasses with the thickness of 2 mm.

    图 3  (a) Dy3+掺杂20Ga2S3-75Sb2S3-5Ag2S玻璃的吸收光谱, 插图是玻璃在940 nm红外相机下的照片; (b) 1.32 μm激光抽运时, Dy3+掺杂20Ga2S3-75Sb2S3-5Ag2S玻璃的2—5 μm发射光谱

    Figure 3.  (a) Absorption spectra of Dy3+-doped 20Ga2S3-75Sb2S3-5Ag2S glasses, the inset shows photos of the glasses under a 940 nm infrared camera; (b) 2–5 μm emission spectra of Dy3+-doped 20Ga2S3-75Sb2S3-5Ag2S glasses under 1.32 μm laser excitation

    图 4  20Ga2S3-75Sb2S3-5Ag2S:0.05%Dy3+/20Ga2S3-70Sb2S3-10Ag2S光纤的传输损耗谱, 插图是光纤在940 nm红外相机下的照片

    Figure 4.  Attenuation of 20Ga2S3-75Sb2S3-5Ag2S:0.05%Dy3+/20Ga2S3-70Sb2S3-10Ag2S fiber, the inset is a photo of the fiber under a 940 nm infrared camera.

    图 5  20Ga2S3-75Sb2S3-5Ag2S:0.05%Dy3+/20Ga2S3-70Sb2S3-10Ag2S光纤在1.32 μm激发时的中红外发射光谱

    Figure 5.  MIR emission spectrum of 20Ga2S3-75Sb2S3-5Ag2S:0.05%Dy3+/20Ga2S3-70Sb2S3-10Ag2S fiber when excited at 1.32 μm.

    表 1  xGa2S3-ySb2S3-zAg2S玻璃的特征温度

    Table 1.  Characteristic temperatures of xGa2S3-ySb2S3-zAg2S glasses.

    x-y-zTg (±1℃)Tx (±1℃)ΔT/℃
    Series A20-80-0240357117
    20-75-5235365130
    20-70-10232349117
    20-65-15228336108
    Series B25-75-0244369125
    20-75-5235365130
    15-75-10227342115
    10-75-15210319109
    Series C10-80-1021631397
    15-75-10227342115
    20-70-10232349117
    30-60-10246346100
    DownLoad: CSV

    表 2  xGa2S3-ySb2S3-zAg2S玻璃的物理参数

    Table 2.  The physical parameters of xGa2S3-ySb2S3-zAg2S glasses.

    x-y-zd/(g·cm–3)V/ (cm3·mol–1)λS/nmλ /μmn0 (@10 μm)
    Series A
    20-80-04.0915.6072913.712.6430
    20-75-54.1615.4274513.672.6380
    20-70-104.2315.2675113.632.6261
    20-65-154.3215.0376513.542.5990
    Series B25-75-04.0615.4674113.532.6279
    20-75-54.1615.4274513.672.6380
    15-75-104.2615.3276013.802.6650
    10-75-154.3915.2977313.942.6970
    Series C10-80-104.3015.5178513.972.7130
    15-75-104.2615.3276013.802.6650
    20-70-104.2315.2675113.632.6261
    30-60-104.1515.0375013.362.5641
    DownLoad: CSV

    表 3  xGa2S3-ySb2S3-zAg2S 玻璃在1.55 μm波长的n0n2

    Table 3.  n0 and n2 of xGa2S3-ySb2S3-zAg2S glasses at 1.55 μm.

    x-y-zn0 (@1.55 μm)n2/ (10–14 cm2·W–1)
    10-80-102.780215.7
    15-75-102.774814.0
    20-80-002.751612.4
    20-75-052.737011.1
    20-70-102.725510.6
    25-75-002.68879.7
    DownLoad: CSV

    表 4  Dy3+ 在20 Ga2S3-75 Sb2S3-5 Ag2S玻璃中的辐射参数, λ, β, τrad, τmea分别是发射波长、荧光分支比、能级辐射寿命和实测荧光寿命

    Table 4.  Radiative parameters of Dy3+ in 20 Ga2S3-75 Sb2S3-5 Ag2S glass, λ, β, τrad, τmea are emission wavelength, fluorescence branch ratio, radiative lifetime, and measured lifetime, respectively.

    Transitionλ/μmn0β/%τrad/msτmea/msη/%σem/(10–20 cm)
    6H11/26H13/24.412.70202.741.9470.81.43
    6H13/26H15/22.912.71804.953.7976.61.27
    DownLoad: CSV
    Baidu
  • [1]

    Cai D W, Xie Y, Guo X, Wang P, and Tong L M 2021 Photonics 8 497Google Scholar

    [2]

    Karami E, Tavoosi M, Ghasemi A, Loghmanestarki M R 2019 Ceram. Int. 45 7956Google Scholar

    [3]

    Zhang L F, Guan F, Zhang L, Jiang Y G 2022 Opt. Mater. Express 12 1683Google Scholar

    [4]

    Zhu J Q, Zhu H, Xu H L, Weng Z P, Wu H Z 2018 Infrared Phys. Technol. 92 13Google Scholar

    [5]

    Shiryaev V S, Churbanov M F 2017 J. Non-Cryst. Solids 475 1Google Scholar

    [6]

    Gui Y M, Guan Y N, Zhang X S, Zhang C Q, Xia K L, He L, Shen X, Liu Z J 2022 Opt. Express 30 21491Google Scholar

    [7]

    Liu L T, Chen F Y, Cui J, Xiao X S, Xu Y T, Hou C Q, Cui X X, Guo H T 2021 Ceram. Int. 47 6388Google Scholar

    [8]

    Lucas P, Yang Z Y, Fah M K, Luo T, Jiang S B, Boussard-Pledel C, Anne M-L, and Bureau B 2013 Opt. Mater. Express 3 1049Google Scholar

    [9]

    Zhang X H, Bureau B, Lucas P, Boussard-Pledel C, Lucas J 2008 Chemistry 14 432Google Scholar

    [10]

    田康振, 胡永胜, 任和, 祁思胜, 杨安平, 冯宪, 杨志勇 2021 70 047801Google Scholar

    Tian K Z, Hu Y S, Ren H, Qi S S, Yang A P, Feng X, Yang Z Y 2021 Acta Phys. Sin. 70 047801Google Scholar

    [11]

    Li R, Zhou W J, Zhou C F, Qi Q Y, Li Y W, Yang Y T, Zhang W, Zhang P Q, Dai S X, Xu T F 2022 Ceram. Int. 48 7956

    [12]

    Yang A P, Zhang M J, Li L, Wang Y W, Zhang B, Yang Z Y, Tang D Y 2016 J. Am. Ceram. S℃. 99 12Google Scholar

    [13]

    Huang X Y, Jiao Q, Lin C G, Ma H L, Zhang X H, Zhu E W, Liu X Y, Dai S X, Xu T F 2018 Sci. Rep. 8 1699Google Scholar

    [14]

    Qiu J H, Yang A P, Zhang M J, Li L, Zhang B, Yang Z Y, Tang D Y 2017 J. Am. Ceram. Soc. 100 5107Google Scholar

    [15]

    Yang A P, Qiu J H, Zhang M J, Ren H, Zhai C C, Qi S S, Zhang B, Tang D Y, Yang Z Y 2017 J. Alloys Compd. 695 1237Google Scholar

    [16]

    Sun M Y, Yang A P, Zhang X H, Ma H L, Zhang M J, Tian K Z, Feng X, Yang Z Y 2019 J. Am. Ceram. Soc. 102 6600Google Scholar

    [17]

    杨安平, 王雨伟, 张少伟, 李兴隆, 杨志杰, 李耀程, 杨志勇 2019 68 017801Google Scholar

    Yang A P, Wang Y W, Zhang S W, Li X L, Yang Z J, Li Y C, Yang Z Y 2019 Acta Phys. Sin. 68 017801Google Scholar

    [18]

    Yang Y, Yang Z Y, Lucas P, Wang Y W, Yang Z J, Yang A P, Zhang B, Tao H Z 2016 J. Non-Cryst. Solids 440 38Google Scholar

    [19]

    Zhang M J, Li L, Li T T, Wang F, Tian K Z, Tao H Z, Feng X, Yang A P, Yang Z Y 2019 Opt. Express 27 29287Google Scholar

    [20]

    张鸣杰, 杨安平, 张斌, 任和, 郭威, 杨艳, 翟诚诚, 王雨伟, 杨志勇, 唐定远 2015 中国激光 42 08060001

    Zhang M J, Yang A P, Zhang B, Ren H, Guo W, Yang Y, Zhai C C, Wang Y W, Yang Z Y, Tang D Y 2015 Chin. J. Lasers 42 08060001

    [21]

    Zhang M J, Yang Z Y, Zhao H, Yang A P, Li L, Tao H Z 2017 J. Alloys Compd. 722 166Google Scholar

    [22]

    Wang T, Gai X, Wei W H, Wang R P, Yang Z Y, Shen X, Madden S, Luther-Davies B 2014 Opt. Mater. Express 4 1011Google Scholar

    [23]

    Boyd R, Masters B 2009 J. Biomed. Opt. 14 029902Google Scholar

    [24]

    Yang Z Y, Li B T, He F, Luo L, Chen W 2008 J. Non-Cryst. Solids 354 1198Google Scholar

    [25]

    Shiryaev V S, Sukhanov M V, Velmuzhov A P, Karaksina E V, Kotereva T V, Snopatin G E, Denker B I, Galagan B I, Sverchkov S E, Koltashev V V, Plotnichenko V G 2021 J. Non-Cryst. Solids 567 120939Google Scholar

    [26]

    Shiryaev V S, Velmuzhov A P, Tang Z Q, Churbanov M F, Seddon A B 2014 Opt. Mater. 37 18Google Scholar

    [27]

    郭威, 张斌, 翟诚诚, 祁思胜, 余懿, 杨安平, 李雷, 杨志勇, 王荣平, 唐定远, 陶光明, Luther-Davies Barry 2016 无机材料学报 31 180Google Scholar

    Guo W, Zhang B, Zhai C C, Qi S S, Yu Y, Yang A P, Li L, Yang Z Y, Wang R P, Tang D Y, Tao G M, Luther-Davies B 2016 J. Inorg. Mater. 31 180Google Scholar

    [28]

    Tichy L, Ticha H 1995 J. Non-Cryst. Solids 189 141Google Scholar

    [29]

    Luo Y R 2007 Comprehensive Handbook of Chemical Bond Energies (Boca Raton: CRC Press) p1687

    [30]

    Dean J A 1998 Lange's handbook of chemistry (New York: McGraw-Hill Professional) p1561

    [31]

    Fraenkl M, Frumarova B, Podzemna V, Slang S, Benes L, Vlcek M, Wagner T 2018 J. Non-Cryst. Solids 499 412Google Scholar

    [32]

    Ma B C, Jiao Q, Zhang Y T, Sun X, Yin G L, Zhang X H, Ma H L, Liu X Y, Dai S X 2020 Ceram. Int. 46 6544Google Scholar

    [33]

    Yang Z Y, Luo L, Chen W 2006 J. Am. Ceram. Soc. 89 2327

    [34]

    崔茂林 1987 玻璃工艺学(北京: 中国轻工业出版社) 第140—153页

    Cui M L 1987 Glass Technology (Beijing: Light Industry Press) pp140–153 (in Chinese)

    [35]

    Dimitrov V, Komatsu T 2010 J. Univ. Chem. Technol. Metall. 45 219

    [36]

    Nakamoto K 2009 Infrared and Raman Spectra of Inorganic and Coordination Compounds (New York: John Wiley) pp419– 427

    [37]

    Gleason B, Richardson K, Sisken L, Smith C 2016 Int. J. Appl. Glass Sci. 7 374Google Scholar

    [38]

    Gai X, Choi D-Y, Madden S, Yang Z Y, Wang R P, Luther-Davies B 2012 Opt. Lett. 37 3870Google Scholar

    [39]

    Choia Y G, Song J H 2009 J. Non-Cryst. Solids 355 48

    [40]

    Judd B 1962 Phys. Rev. 127 750Google Scholar

    [41]

    Ofelt G 1962 J. Chem. Phys. 37 511Google Scholar

    [42]

    Chen D Q, Wang Y S, Yu Y L, Ma E, Hu Z J 2005 J. Phys. Condens. Matter 17 6545Google Scholar

    [43]

    Yang A P, Sun M Y, Ren H, Lin H X, Feng X, Yang Z Y 2021 J. Lumin. 237 118169Google Scholar

    [44]

    Zhang M J, Yang A P, Peng Y F, Zhang B, Ren H, Guo W, Yang Y, Zhai C C, Wang Y W, Yang Z Y, Tang D Y 2015 Mater. Res. Bull. 70 55Google Scholar

    [45]

    Schweizer T, Hewak D W, Samson B N, Payne D N 1996 Opt. Lett. 21 1594Google Scholar

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Metrics
  • Abstract views:  3847
  • PDF Downloads:  59
  • Cited By: 0
Publishing process
  • Received Date:  11 July 2022
  • Accepted Date:  25 November 2022
  • Available Online:  26 December 2022
  • Published Online:  20 February 2023

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