物理学报
物理學報
물이학보
2013年
10期
419-427
,共9页
郑树琳?%宋亦旭%孙晓民
鄭樹琳?%宋亦旭%孫曉民
정수림?%송역욱%손효민
刻蚀%三维元胞模型%表面演化算法%降维分量拟合
刻蝕%三維元胞模型%錶麵縯化算法%降維分量擬閤
각식%삼유원포모형%표면연화산법%강유분량의합
etching%three-dimensional cellular model%surface evolution algorithm%component fitting-based di-mension reduction method
为了更好地理解和认识刻蚀机理,并为制造工艺提供优化指导,采用三维元胞模型研究了刻蚀工艺的表面演化过程,并着重探讨了离子对表面演化过程的影响.针对刻蚀离子入射角度的求解问题,提出了一种降维分量拟合方法,将一个三维曲面拟合问题转化为两个二维曲线拟合进行求解,对入射点的表面法向量计算实现了快速求解,与采用最小二乘多项式曲面拟合求解离子入射角度相比,其计算精度和效率都有较大的提高;对用于拟合计算的表面元胞的选取方法进行了改进,提高了拟合的准确度.将这种方法应用到硅刻蚀工艺三维仿真中,其模拟结果与相关实验结果对比,验证了该方法对刻蚀工艺描述的有效性.
為瞭更好地理解和認識刻蝕機理,併為製造工藝提供優化指導,採用三維元胞模型研究瞭刻蝕工藝的錶麵縯化過程,併著重探討瞭離子對錶麵縯化過程的影響.針對刻蝕離子入射角度的求解問題,提齣瞭一種降維分量擬閤方法,將一箇三維麯麵擬閤問題轉化為兩箇二維麯線擬閤進行求解,對入射點的錶麵法嚮量計算實現瞭快速求解,與採用最小二乘多項式麯麵擬閤求解離子入射角度相比,其計算精度和效率都有較大的提高;對用于擬閤計算的錶麵元胞的選取方法進行瞭改進,提高瞭擬閤的準確度.將這種方法應用到硅刻蝕工藝三維倣真中,其模擬結果與相關實驗結果對比,驗證瞭該方法對刻蝕工藝描述的有效性.
위료경호지리해화인식각식궤리,병위제조공예제공우화지도,채용삼유원포모형연구료각식공예적표면연화과정,병착중탐토료리자대표면연화과정적영향.침대각식리자입사각도적구해문제,제출료일충강유분량의합방법,장일개삼유곡면의합문제전화위량개이유곡선의합진행구해,대입사점적표면법향량계산실현료쾌속구해,여채용최소이승다항식곡면의합구해리자입사각도상비,기계산정도화효솔도유교대적제고;대용우의합계산적표면원포적선취방법진행료개진,제고료의합적준학도.장저충방법응용도규각식공예삼유방진중,기모의결과여상관실험결과대비,험증료해방법대각식공예묘술적유효성.
@@@@In order to get a better understanding of etching mechanism and provide optimization guidance for manufacturing process, a three-dimensional (3D) profile evolution simulator based on cellular model is developed to investigate the surface evolution of etching process, and discuss emphatically the effect of ions on the surface evolution. According to the solving problem for angle of ion incidence, a component fitting-based dimension reduction method is presented to convert a 3D surface fitting problem into a two-dimensional (2D) curve fitting problem, and achieve fast solution for the surface normal vector of the incident point. Compared with least squares polynomial fitting method, this method improves computational accuracy and efficiency of the ion incidence angle. The improvement on the accuracy of fitting is achieved by improving the selection method of surface cellular for fitting. The fitting method is applied to 3D simulation of silicon etching process, and the simulation results verify the simulated surface by comparing with relevant experimental results.