The impact of lenses aberration on CD and position for low kl lithography

Tie Li, Hsuan-Cheng Lai, Jie Xu, Xiaodong Meng
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Abstract

In low $\mathrm{k}_{1}$ regime, the lithography resolution is close to the optical diffraction limit. Ignoring the impact of lenses aberration for such precise lithography processes is questionable. The aberration of lithography lenses in circular pupil is typically represented by Zernike polynomials. In theory, even Zernike aberrations mainly induce pattern critical dimension (CD) variation and odd Zernike aberrations mainly induce pattern position variation. We study the CD and position simulations in various lithography configurations, such as numerical aperture (NA), illumination sigma, defocus, wafer stack, and pattern pitch. Based on the above data, this paper comprehensively discusses the impact of each Zernike aberration on pattern CD and position. The conclusion is useful to accurately predict pattern CD and position variations and to further implement aberration-aware optical proximity correction (OPC) for actual lithography lenses.
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透镜像差对低kl光刻CD和位置的影响
在低$\ mathm {k}_{1}$区域,光刻分辨率接近光学衍射极限。对于如此精确的光刻工艺,忽略透镜像差的影响是值得怀疑的。圆瞳光刻透镜的像差一般用泽尼克多项式表示。理论上,偶泽尼克像差主要引起图案临界维数的变化,奇泽尼克像差主要引起图案位置的变化。我们研究了不同光刻配置下的CD和位置模拟,如数值孔径(NA)、照度sigma、离焦、晶圆堆叠和模式间距。在此基础上,综合讨论了各种泽尼克像差对图案CD和位置的影响。该结论有助于准确预测图案CD和位置变化,并进一步实现实际光刻透镜的像差感知光学接近校正(OPC)。
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