Estimation of the convergence order of rigorous coupled-wave analysis for binary gratings in optical critical dimension metrology

被引:40
作者
Liu, Shiyuan [1 ,2 ]
Ma, Yuan [1 ]
Chen, Xiuguo [1 ]
Zhang, Chuanwei [2 ]
机构
[1] Huazhong Univ Sci & Technol, Wuhan Natl Lab Optoelect, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
optical critical dimension metrology; rigorous coupled-wave analysis; convergence order; Fourier harmonics; binary gratings; optical modeling; DIFFRACTION GRATINGS; FORMULATION; IMPLEMENTATION; SCATTEROMETRY; ELEMENT;
D O I
10.1117/1.OE.51.8.081504
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In most cases of optical critical dimension metrology, when applying rigorous coupled-wave analysis to optical modeling, a high order of Fourier harmonics is usually set up to guarantee the convergence of the final results. However, the total number of floating point operations grows dramatically as the truncation order increases. Therefore, it is critical to choose an appropriate order to obtain high computational efficiency without losing much accuracy in the meantime. We show that the convergence order associated with the structural and optical parameters is estimated through simulation. The results indicate that the convergence order is linear with the period of the sample when fixing the other parameters, both for planar diffraction and conical diffraction. The illuminated wavelength also affects the convergence of a final result. With further investigations concentrated on the ratio of illuminated wavelength to period, it is discovered that the convergence order decreases with the growth of the ratio, and when the ratio is fixed, convergence order jumps slightly, especially in a specific range of wavelength. This characteristic could be applied to estimate the optimum convergence order of given samples to obtain high computational efficiency. (C) 2012 Society of Photo-Optical Instrumentation Engineers (SPIE). [DOI: 10.1117/1.OE.51.8.081504]
引用
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页数:7
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