Development of model-based control for Bridgman crystal growth

Journal of Crystal Growth

Volumn 266, Issue 1-3, 2004, Pages 182-189

  Sonda, Paul ^a   Yeckel, Andrew ^a   Daoutidis, Prodromos ^a   Derby, Jeffrey J ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

A1. Control; A1. Fluid Mechanics; A1. Materials processing; A1. Mathematical modelling; A1. Nonlinear dynamics; A2. Accelerated crucible rotation technique

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; FLUID MECHANICS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; OSCILLATIONS; ROTATION;

ACCELERATED CRUCIBLE ROTATION TECHNIQUE; CRUCIBLE ROTATION; MATERIALS PROCESSING; MATHEMATICAL MODELING;

CRYSTAL GROWTH;

EID: 2342642854     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcrysgro.2004.02.044     Document Type: Conference Paper

References (21)

1. C. Batur, W.M.B. Duval, R.J. Bennett, Performance of Bridgman Furnace Operating under projective control, in: Proceedings of the American Control Conference, 1999, pp. 4101.
2. Batur C., Srinivasan A., Duval W.M.B., Singh N.B. Prog. Cryst. Growth Charact. 30:1995;217.
3. Seidensticker R.G., Rosch W.R., et al. J. Crystal Growth. 198:1999;988.
4. Chin L.Y., Carlson F.M. J. Crystal Growth. 62:1983;561.
5. Kim K.M., Witt A.F., Gatos H.C. J. Electrochem Soc. 119:1972;1218.
6. Kim K.M., Witt A.F., Lichtensteiger M., Gatos H.C. J. Electrochem. Soc. 125:1978;475.
7. Müller G., Neumann G., Weber W. J. Crystal Growth. 70:1984;78.
8. P. Sonda, A. Yeckel, P. Daoutidis, J.J. Derby, Hopf bifurcation and solution multiplicity in a model for Bridgman crystal growth (2003) under review.
9. Sonda P., Yeckel A., Daoutidis P., Derby J.J. J. Crystal Growth. 260:2003;263.
10. Rayleigh L. Phil. Mag. 32:1916;529.
11. Bénard H. Ann. Chim. Phys. 23:1901;62.
12. A Yeckel, R.T. Goodwin, Cats2D (Crystallization and Transport Simulator), User Manual, Unpublished (available at http://www.msi.umn.edu/~yeckel/cats2d. html ), 2003.
13. P. Sonda, The Modeling, Simulation, and Control of Transport Phenomena in a Thermally Destabilizing Bridgman Crystal Growth System, Ph.D. Thesis, University of Minnesota, 2003.
14. Yeckel A., Doty P., Derby J.J. J. Crystal Growth. 203:1999;87.
15. Lan C.W. J. Crystal Growth. 197:1999;983.
16. Lan C.W., Tu C.Y. J. Crystal Growth. 229:2001;595.
17. Batchelor G.K. An Introduction to Fluid Dynamics. 1967;Cambridge University Press, Cambridge.
18. Rayleigh L. Proc. Roy. Soc. London. 93:1916;148.
19. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability. 1961;Clarendon Press, Oxford.
20. Yeckel A., Derby J.J. J. Crystal Growth. 209:2000;734.
21. P. Sonda, A. Yeckel, J.J. Derby, P. Daoutidis, Suppression of Flow Oscillations in a Vertical Bridgman Crystal Growth System, Proceedings of the 2004 American Control Conference, Boston, 2004.