中国激光, 2017, 44 (12): 1203002, 网络出版: 2017-12-11   

基于量子衍生遗传算法的光学薄膜结构分析

Analysis of Optical Thin Film Structure Based on Quantum-Inspired Genetic Algorithm
作者单位
1 长春理工大学理学院, 吉林 长春 130022
2 中国科学院长春光学精密机械与物理研究所应用光学国家重点实验室, 吉林 长春 130033
3 中国科学院长春光学精密机械与物理研究所光学系统先进制造技术重点实验室, 吉林 长春 130033
摘要
掠入射X射线反射(GIXR)由于检测精度高且对检测薄膜的无损伤而被广泛用于薄膜检测和高精度表征。GIXR是一种基于数值拟合的间接检测方法, 因此在薄膜微观结构的求解, 特别是复杂多层膜膜系的求解过程中对数值优化算法的要求较高。为此提出了基于量子衍生遗传算法(QIGA)的薄膜GIXR拟合求解方法, 并基于QIGA对Si单层膜和等周期Mo/Si多层膜的GIXR分别进行拟合求解。结果表明, 该方法具有求解速度快、拟合精度高的明显优势, 说明QIGA在光学薄膜表征方面有潜在的应用价值。
Abstract
Grazing incident X-ray reflection (GIXR) is widely used in film detection and high accuracy characterization because of its high detection accuracy and nondestructive measurement. However, it is a kind of indirect measurement method, and therefore it requires a superior numerical optimization algorithm when solving thin film parameters, especially for complicated multilayers. A new method based on quantum-inspired genetic algorithm (QIGA) is proposed to realize GIXR fitting. The proposed algorithm is applied in fitting the GIXR of Si single layers and periodic Mo/Si multilayers. The results indicate that the algorithm based on QIGA has fast solving speed and high fitting precision, and QIGA has potential values in the field of thin film characterization.
参考文献

[1] 范正修. 光学薄膜及其进展[J]. 光学学报, 2011, 31(9): 0900131.

    Fan Zhengxiu. Development and recent progress of optical thin films[J]. Acta Optica Sinica, 2011, 31(9): 0900131.

[2] 庄秋慧, 刘国军, 付秀华, 等. 工作波段覆盖近紫外到近红外波的消偏振分色片的设计与研制[J]. 光学学报, 2016, 36(11): 1131001.

    Zhuang Qiuhui, Liu Guojun, Fu Xiuhua, et al. Design and fabrication of a depolarizing beam splitter working in band from near-infrared[J]. Acta Optica Sinica, 2016, 36(11): 1131001.

[3] 李大琪, 于天燕, 陈刚, 等. 0.55-0.85 μm波段增透膜的相位调控设计与研制[J]. 光学学报, 2016, 36(7): 0731001.

    Li Daqi, Yu Tianyan, Chen Gang, et al. Design and fabrication: Phase modulated antireflection coatings in 0.55-0.85 μm waveband[J]. Acta Optica Sinica, 2016, 36(7): 0731001.

[4] 徐建, 陆敏, 朱丽娜, 等. 纳米薄膜的制备技术及其膜厚表征方法进展[J]. 现代仪器, 2012, 18(3): 11-15.

    Xu Jian, Lu Min, Zhu Lina, et al. Progress of preparation techniques and thickness measurements of nano-scale thin films[J]. Modern Instruments, 2012, 18(3): 11-15.

[5] 黄江涛, 谷坤明, 毛斐, 等. Ti_Ti_类金刚石多层膜的制备与表征[J]. 物理学报, 2012, 61(8): 088102.

    Huang Jiangtao, Gu Kunming, Mao Fei, et al. Preparation and characterization of multilayered titanium/titanium-diamond-like carbon films[J]. Acta Physica Sinica, 2012, 61(8): 088102.

[6] 庄令平, 张雄军, 张军, 等. 基于透明导电膜的重复频率电光开关的研究[J]. 激光与光电子学进展, 2016, 53(1): 012303.

    Zhuang Lingping, Zhang Xiongjun, Zhang jun, et al. Study of repetition-rate electro-optic switch based on transparent conductive films[J]. Laser & Optoelectronics Progress, 2016, 53(1): 012303.

[7] 吴素勇, 龙兴武, 杨开勇. 一种最小化薄膜光学参数表征偏差的椭偏测量系统误差处理技术[J]. 光学学报, 2012, 32(6): 0631001.

    Wu Suyong, Long Xingwu, Yang Kaiyong. Technique to minimize the characterization deviation of optical parameters of thin films caused by ellipsometric measurement systematic errors[J]. Acta Optica Sinica, 2012, 32(6): 0631001.

[8] 崔建军, 高思田. 基于X射线掠射法的纳米薄膜厚度计量与量值溯源研究[J]. 物理学报, 2014, 63(8): 060601.

    Cui Jianjun, Gao Sitian. Nanometer film thickness metrology and traceability based on grazing incidence X-ray reflectometry[J]. Acta Physica Sinica, 2014, 63(8): 060601.

[9] 马一博, 王梅玲, 王海, 等. 基于GIXRR反射率曲线的二氧化硅纳米薄膜厚度计算[J]. 光谱学与光谱分析, 2016, 36(10): 3265-3268.

    Ma Yibo, Wang Meiling, Wang Hai, et al. Thickness calculation of silicon dioxide nano-films based on GIXRR reflectivity curve[J]. Spectroscopy and Spectral Analysis, 2016, 36(10): 3265-3268.

[10] 武斌, 胡明, 后顺保, 等. 快速热处理制备相变氧化汞薄膜及其特性研究[J]. 物理学报, 2012, 61(18): 188101.

    Wu Bin, Hu Ming, Hou Shunbao, et al. Preparation and characteristic of phase transition vanadium oxide thin films by rapid thermal process[J]. Acta Physica Sinica, 2012, 61(18): 188101.

[11] 李江, 唐敬友, 裴旺, 等. 光谱型椭偏仪精确表征非晶吸收薄膜的光学常数[J]. 物理学报, 2015, 64(11): 110702.

    Li Jiang, Tang Jingyou, Pei Wang, et al. Accurate determination of optical constants of amorphous absorbing thin films by spectroscopic ellipsometry[J]. Acta Physica Sinica, 2015, 64(11): 110702.

[12] Kamineni V K, Diebold A C. Overview of optical metrology of advanced semiconductor materials[C]//Aip Conference Proceedings, 2011, 1395(1): 33-40.

[13] 喻波. Mo/Si多层膜小角X射线衍射结构表征[J]. 中国光学, 2010, 3(6): 623-629.

    Yu Bo. Structural characterization of Mo/Si multilayer by grazing incidence X-ray diffraction[J]. Chinese Optics, 2010, 3(6): 623-629.

[14] Nolot E, André A. Systematic combination of X-ray reflectometry and spectroscopic ellipsometry: A powerful technique for reliable in-fab metrology[J]. Thin Solid Films, 2011, 519(9): 2782-2786.

[15] Fuertes M C, Barrera M P, Plá J. Sorption and optical properties of sol-gel thin films measured by X-ray reflectometry and ellipsometric porosimetry[J]. Thin Solid Films, 2012, 520(15): 4853-4862.

[16] 陈凯, 崔明启, 郑雷, 等. nm量级薄膜厚度测量[J]. 强激光与粒子束, 2008, 20(2): 234-238.

    Chen Kai, Cui Mingqi, Zheng Lei, et al. Layer thickness measurement of super thin films[J]. High Power Laser and Particle Beams, 2008, 20(2): 234-238.

[17] 张超, 张杰瑞, 王一名, 等. 基于量子进化算法的宽角度极紫外多层膜设计[J]. 光学学报, 2017, 37(6): 0631001.

    Zhang Chao, Zhang Jierui, Wang Yiming, et al. Design of broad-angle extreme ultraviolet multilayer coatings based on quantum evolutionary algorithm[J]. Acta Optica Sinica, 2017, 37(6): 0631001.

[18] Yakshin A E, Kozhevnikov I V, Zoethout E, et al. Properties of broadband depth-graded multilayer mirrors for EUV optical systems[J]. Optics Express, 2010, 18(7): 6957-6971.

[19] Ulyanenkov A, Omote K, Harada J. The genetic algorithm: Refinement of X-ray reflectivity data from multilayers and thin films[J]. Physica B, 2000, 283(1): 237-241.

[20] Dane A D, Veldhuis A, Boer D K G D, et al. Application of genetic algorithms for characterization of thin layered materials by glancing incidence X-ray[J]. Physica B, 1998, 253(3/4): 254-268.

[21] 杨淑媛, 焦李成, 刘芳. 量子进化算法[J]. 工程数学学报, 2006, 23(2): 236-246.

    Yang Shuyuan, Jiao Licheng, Liu Fang. The quantum evolutionary algorithm[J]. Chinese Journal of Engineering Mathematics, 2006, 23(2): 236-246.

[22] Wang L X, Kowk S K, Ip W H. Design of an improved quantum-inspired evolutionary algorithm for a transportation problem in logistics systems[J]. Journal of Intelligent Manufacturing, 2012, 23(6): 2227-2236.

[23] Zhang G X. Quantum-inspired evolutionary algorithms: A survey and empirical study[J]. Journal of Heuristics, 2011, 17(3): 303-351.

[24] Henke B L, Gullikson E M, Davis J C. X-ray interactions: Photoabsorption, scattering, transmission, and reflection at E=50-30,000 eV, Z=1-92[J]. Atomic Data and Nuclear Data Tables, 1993, 54(2): 181-342.

[25] Han K H, Kim J H. Genetic quantum algorithm and it′s application to combinatorial optimization problem[Z/OL]. [2017-03-20]. http://ieeexplore.ieee.org/stamp/stamp.jsp arnumber=870809.

[26] 王竹荣, 杨波, 吕兴朝, 等. 一种改进的量子遗传算法[J]. 西安理工大学学报, 2012, 28(2): 145-151.

    Wang Zhurong, Yang Bo, Lü Xingzhao, et al. An improved quantum genetic algorithm[J]. Journal of Xi′an University of Technology, 2012, 28(2): 145-151.

[27] 杨淑媛, 刘芳, 焦李成. 量子进化策略[J]. 电子学报, 2001, 29(12A): 1873-1877.

    Yang Shuyuan, Liu Fang, Jiao Licheng. The quantum evolutionary strategies[J]. Acta Electronica Sinica, 2001, 29(12A): 1873-1877.

周祥燕, 张超, 匡尚奇, 龚学鹏, 杨海贵. 基于量子衍生遗传算法的光学薄膜结构分析[J]. 中国激光, 2017, 44(12): 1203002. Zhou Xiangyan, Zhang Chao, Kuang Shangqi, Gong Xuepeng, Yang Haigui. Analysis of Optical Thin Film Structure Based on Quantum-Inspired Genetic Algorithm[J]. Chinese Journal of Lasers, 2017, 44(12): 1203002.

本文已被 4 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!