Analytical solutions of film planarization for periodic features

被引:10
|
作者
Wu, PY [1 ]
Chou, FC [1 ]
Gong, SC [1 ]
机构
[1] Natl Cent Univ, Dept Mech Engn, Chungli 320, Taiwan
关键词
D O I
10.1063/1.371417
中图分类号
O59 [应用物理学];
学科分类号
摘要
Analytical solutions of film profiles and degree of planarization for periodic features during the spin coating process are presented. This article shows that the degree of planarization is independent of Omega(2) and changes slightly with the dimensionless line spacing alpha for Omega(2)> 300. The governing dimensionless parameter Omega(2) represents the ratio of centrifugal force to surface tension force during spin coating. In the cases of low Omega(2) (Omega(2)< 1), the degree of planarization decreases with increasing alpha for a fixed Omega(2). (C) 1999 American Institute of Physics. [S0021-8979(99)05120-8].
引用
收藏
页码:4657 / 4659
页数:3
相关论文
共 50 条
  • [41] Analytical solutions of periodic motions in a first-order quadratic nonlinear system
    Zhou, Guopeng
    Jin, Peng
    Zhou, Fang
    Xia, Xin
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2019, 228 (09): : 1781 - 1792
  • [42] A numerical and analytical study of Floquet multipliers of periodic solutions near a homoclinic orbit
    Zheng, Z.
    Lust, K.
    Roose, D.
    Nonlinear Analysis, Theory, Methods and Applications, 2001, 47 (05): : 3369 - 3378
  • [43] THE EXISTENCE OF ALMOST PERIODIC SOLUTIONS AND PERIODIC SOLUTIONS
    林发兴
    ChineseAnnalsofMathematics, 1990, (04) : 525 - 535
  • [44] Laser planarization of chemical vapor deposited diamond film
    Schaeffer, RD
    Chen, L
    Ho, W
    LASERS AS TOOLS FOR MANUFACTURING OF DURABLE GOODS AND MICROELECTRONICS, 1996, 2703 : 265 - 278
  • [45] Spontaneous planarization of nanoscale phase separated thin film
    Saraf, RF
    Niu, S
    Stumb, E
    APPLIED PHYSICS LETTERS, 2002, 80 (23) : 4425 - 4427
  • [46] Instantaneous fluid film imaging in chemical mechanical planarization
    Apone, D
    Gray, C
    Rogers, C
    Manno, VP
    Barns, C
    Moinpour, M
    Anjur, S
    Philipossian, A
    CHEMICAL-MECHANICAL PLANARIZATION-INTEGRATION, TECHNOLOGY AND RELIABILITY, 2005, 867 : 167 - 173
  • [47] THE ANALYTICAL SOLUTIONS FOR HEAT TRANSFER IN THIN FILM EVAPORATION WITH DISJOINING PRESSURE
    Yan, Chunji
    Ma, Hongbin
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2011, VOL 10, PTS A AND B, 2012, : 521 - 528
  • [48] Dry etching for the planarization layer of thin film transistors
    Sun Ming-Jian
    Dong Cheng-yuan
    Lin Shi-shiung
    CHINESE JOURNAL OF LIQUID CRYSTALS AND DISPLAYS, 2019, 34 (11) : 1055 - 1060
  • [49] Analytical solutions for film stress and bending deformation of coated optical lenses
    Xu, Long
    Pei, Yong -Chen
    Wang, Dongping
    Wu, Zhihui
    Wang, Lu-Lu
    Liu, Zhonghao
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2023, 245
  • [50] Comparing numerical and analytical solutions for squeeze-film levitation force
    Minikes, A.
    Bucher, I.
    JOURNAL OF FLUIDS AND STRUCTURES, 2006, 22 (05) : 713 - 719