Front tracking simulations of ion deposition and resputtering

被引:7
作者
Glimm, J [1 ]
Simanca, SR [1 ]
Tan, D [1 ]
Tangerman, FM [1 ]
Vanderwoude, G [1 ]
机构
[1] SUNY Stony Brook, Dept Appl Math & Stat, Stony Brook, NY 11794 USA
关键词
front tracking; Riemann problems; deposition and etching;
D O I
10.1137/S1064827597318393
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper describes surface evolution formulated in terms of a Hamilton-Jacobi equation and a solution algorithm based on a three-dimensional front tracking algorithm. Our method achieves sharp resolution in the evolution of surface edges and corners. This study is motivated by semiconductor chip evolution during deposition and resputtering processes. For this reason, we discuss here the effects of diffuse rescattering on surface features. We illustrate some of the three-dimensional capabilities of the front tracking algorithm. We also present a validation study by display of two-dimensional cross sections of three-dimensional simulations of a finite-length trench. The cross sections correspond to two-dimensional simulations of S. Hamaguchi and S. M. Rossnagel [J. Vac. Sci. Technol. B, 13 (1995), pp. 183-191].
引用
收藏
页码:1905 / 1920
页数:16
相关论文
共 17 条
[1]  
[Anonymous], 1996, LEVEL SET METHODS
[2]   SOME PROPERTIES OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].
CRANDALL, MG ;
EVANS, LC ;
LIONS, PL .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :487-502
[3]   Three-dimensional front tracking [J].
Glimm, J ;
Grove, JW ;
Li, XL ;
Shyue, KM ;
Zeng, YN ;
Zhang, Q .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 19 (03) :703-727
[4]   Front tracking in two and three dimensions [J].
Glimm, J ;
Graham, MJ ;
Grove, J ;
Li, XL ;
Smith, TM ;
Tan, D ;
Tangerman, F ;
Zhang, Q .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (07) :1-11
[5]  
GLIMM J, 1996, SUNYSB9617
[6]  
GLIMM J, 1996, SUNYSB9619
[7]   A SHOCK-TRACKING ALGORITHM FOR SURFACE EVOLUTION UNDER REACTIVE-ION ETCHING [J].
HAMAGUCHI, S ;
DALVIE, M ;
FAROUKI, RT ;
SETHURAMAN, S .
JOURNAL OF APPLIED PHYSICS, 1993, 74 (08) :5172-5184
[8]   SIMULATIONS OF TRENCH-FILLING PROFILES UNDER IONIZED MAGNETRON SPUTTER METAL-DEPOSITION [J].
HAMAGUCHI, S ;
ROSSNAGEL, SM .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY B, 1995, 13 (02) :183-191
[9]   MICROFABRICATION BY ION-BEAM ETCHING [J].
LEE, RE .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY, 1979, 16 (02) :164-170
[10]   3-DIMENSIONAL SIMULATION OF AN ISOLATION TRENCH REFILL PROCESS [J].
LIAO, H ;
CALE, TS .
THIN SOLID FILMS, 1993, 236 (1-2) :352-358