Tawfik Elazhary Tamer, Hisham Morshed Ahmed, Khalil Diaa
Electronics and Communications Engineering Department, Faculty of Engineering, Ain Shams University,1 El-Sarayat Street, Abbassia, Cairo, 11571, Egypt.
Appl Opt. 2010 Aug 1;49(22):4207-16. doi: 10.1364/AO.49.004207.
In optical lithography, light diffracted from photo mask structures has been customarily assumed to be constant with the angle of incidence of the light illuminating the photo mask. As numerical aperture increases to unity and beyond, to cope with the continuous demand for shrinking integrated circuits, device dimensions, and densities, this approximation is no longer valid. In this paper we use the physical theory of diffraction to study, understand, and model the variation of light diffracted from photo mask structures of the order of the wavelength, with the angle of light incidence. We present a semianalytical model that is fast, accurate, and compatible with existing professional software in this domain. The accuracy of the model is studied using the finite-difference time-domain technique and is shown to be below 5% at the image plane, within angles of incidence between +/-20 degrees .
在光学光刻中,通常假定从光掩模结构衍射的光与照射光掩模的光的入射角无关。随着数值孔径增加到1及以上,为了满足对不断缩小的集成电路、器件尺寸和密度的持续需求,这种近似不再有效。在本文中,我们使用衍射物理理论来研究、理解并对从波长量级的光掩模结构衍射的光随光入射角的变化进行建模。我们提出了一个半解析模型,该模型快速、准确且与该领域现有的专业软件兼容。使用时域有限差分技术研究了该模型的精度,结果表明在入射角在+/-20度之间时,在像平面处精度低于5%。