光学学报, 2010, 30 (10): 2849, 网络出版: 2012-10-24   

极紫外三维小孔矢量衍射波面质量分析

Wave-Front Quality Analysis of Three-Dimension Pinhole Vector Diffractional in Extreme Ultraviolet Region
作者单位
1 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
2 中国科学院研究生院, 北京 100049
摘要
相移点衍射干涉仪中参考球面波的质量取决于小孔的直径、圆度和厚度,其中小孔的直径是最主要的因素,在实际加工前,需给出小孔直径的要求。基于矢量衍射理论,分析计算了三维结构小孔的衍射。分析了在均匀的TE偏振光和TM偏振光入射情况下,小孔直径大小对衍射波面质量的影响。入射光的线性偏振,给衍射波面中引入了像散和彗差。分析计算得出,为了获得数值孔径(NA)为0.1,相对于理想球面波的均方根(RMS)偏差不大于0.005 λ(λ=13.55 nm),强度均匀性为0.4的参考球面波,对90 nm厚的小孔选择直径大小为70 nm较为适宜。
Abstract
The quality of the reference wave front in phase shifting point diffraction interferometer depends on the pinhole diameter, roundness and thickness, where the first one is the most critical factor. The requirement for pinhole diameter should be known before the manufacture in actual maching. Three-dimensional pinhole diffraction is calculated based on the vector diffraction theory. How the pinhole diameter affects the diffracted wave-front quality is analyzed under the uniform incident light with TE and TM polarization. The appearance of the astigmatism and coma in the wave front is brought about by the linear polarization of incident light. The calculation and analysis show that in order to obtain reference wave front with 0.1 numerical aperture (NA), the root mean square of (RMS) wave-front error below 0.005 λ (λ=13.55 nm), together with 0.4 intensity uniformity, for a 90 nm thickness pinhole, the diameter of 70 nm is suitable.
参考文献

[1] K. Otaki, Y. Zhua, M. Ishij et al.. Rigorous wave front analysis of the visible-light point diffraction interferometer for EUVL[C]. SPIE, 2004, 5193: 182~190

[2] K. Otaki, K. Ota, I. Nishiyama et al.. Development of the point diffraction interferometer for extreme ultraviolet lithography: design, fabrication, and eveluation[J]. J. Vac. Sci. Technol. B., 2002, 20(6): 2449~2458

[3] H. Medecki, E. Tejnil, K. A. Goldberg et al.. Phase-shifting point diffraction interferometer[J]. Opt. Lett., 1996, 21(19): 1526~1528

[4] Sang Hun Lee, Patrick Naullear, Kenneth A. Goldberg et al.. Phase-shifting point-diffraction interferometry at 193 nm[J]. Appl. Opt., 2000, 39(31): 5768~5772

[5] J. P. Spallas, R. E. Hostetler, G. E. Sommargren et al.. Fabrication of extreme-ultraviolet point-diffraction interferometer aperture arrays[J]. Appl. Opt., 1995, 34(28): 6393~6398

[6] 吕乃光. 傅立叶光学[M]. 北京: 机械工业出版社, 2006. 65~102

    Lü Naiguang. Fourier Optics[M]. Beijing: China Machine Press, 2006, 65~102

[7] 马强, 刘伟奇, 李香波 等. 点衍射干涉仪中小孔衍射波面误差分析[J]. 光学学报, 2008, 28(12): 2321~2324

    Ma Qiang, Liu Weiqi, Li Xiangbo et al.. Analysis of diffraction wavefront error in point diffraction interferometer[J]. Acta Optica Sinica, 2008, 28(12): 2321~2324

[8] 邓小玖, 李怀龙, 刘彩霞 等. 矢量衍射理论的比较研究及标量近似的有效性[J]. 量子电子学报, 2007, 24(5): 543~547

    Deng Xiaojiu, Li Huailong, Liu Caixia et al.. A comparative study of vectorial diffraction theories and the validity of scalar approximation[J]. Chinese J. Quant. Electron., 2007, 24(5): 543~547

[9] 葛德彪, 闫玉波. 电磁波时域有限差分法[M]. 西安: 西安电子科技大学出版社, 2005. 11~34

    Ge Debiao, Yan Yubo. Finite-Difference Time-Domain Method for Electromagnetic Wave[M]. Xi′an: Xidian University Press, 2005, 11~34

[10] J. W. Goodman. Introduction to Fourier Optics[M]. New York: McGraw-Hill Companies, 1988, 32~62

[11] 玻恩, 沃尔夫. 光学原理[M]. 杨葭孙译. 北京: 电子工业出版社, 2005, 342~347

    Born M, Wolf E. Principles of Optics[M]. Yang Jiasun Transl. Beijing: Electroics Industry Press, 2005, 342~347

[12] Daniel Malacara. Optical Shop Testing (Third Edited)[M]. New York: John Wiley & Sons, 2007, 498~546

[13] 惠梅, 牛憨笨. 运用泽尼克多项式进行物面波前数据拟合[J]. 光子学报, 1999, 28(12): 1113~1116

    Hui Mei, Niu Hanben. A method of wavefront data fitting using Zernike polynomials[J]. Acta Photonica Sinica, 1999, 28(12): 1113~1116

[14] 常丽萍, 沈卫星, 林尊琪. 基于奇异值分解的数字波前拟合算法[J]. 光学学报, 2006, 26(11): 1676~1680

    Chang Liping, Shen Weixing, Lin Zunqi. Algorithm for digital wavefront fitting based on singular value decomposition[J]. Acta Optica Sinica, 2006, 26(11): 1676~1680

[15] Daniel Malacara, J. Martin Carpiovaladéz, J. Javier Sánchezmondragón. Wavefront fitting with discrete orthogonal polynomials in a unit radius circle[J]. Opt. Engng., 1990, 29(6): 672~675

[16] 杨晶晶, 黄铭, 吴中元 等. 亚波长银粒子/孔的光谐振特性[J]. 光学学报, 2009, 29(5): 1379~1383

    Yang Jingjing, Huang Ming, Wu Zhongyuan et al.. Optical resonance for subwavelength Ag paticle hole[J]. Acta Optica Sinica, 2009, 29(5): 1379~1383

[17] 曾夏辉, 范滇元, 周萍. 亚波长锥形波导的电磁场分布及传输特性[J]. 光学学报, 2009, 29(6): 1487~1492

    Zeng Xiahui, Fan Dianyuan, Zhou Ping. Field distributions and transmission property inside a conical waveguide with a sub-wavelength-sized exit hole[J]. Acta Optica Sinica, 2009, 29(6): 1487~1492

[18] Yoshiyuki Sekine, Akiyoshi Suzuki, Masanobu Hasegawa. Wave-front errors of reference spherical waves in high-numerical aperture point diffraction interferometers[J]. J. Vac. Sci. Technol. B., 2004, 22(1): 104~108

卢增雄, 金春水, 张立超, 王丽萍. 极紫外三维小孔矢量衍射波面质量分析[J]. 光学学报, 2010, 30(10): 2849. Lu Zengxiong, Jin Chunshui, Zhang Lichao, Wang Liping. Wave-Front Quality Analysis of Three-Dimension Pinhole Vector Diffractional in Extreme Ultraviolet Region[J]. Acta Optica Sinica, 2010, 30(10): 2849.

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