Modelling the Cavity of Continuous Chemical Lasers (CCLs) Using Matlab Applications

Abstract

The subject that concerns us in this work is the numerical simulation and optimal control of equilibrium of the continuous chemical lasers (CCLs). Laser Chemistry: Spectroscopy, Dynamics and Applications are a carefully structured introduction to the basic theory and concepts of this subject. In this paper we present the design and discuss the performances of a continuous DF chemical laser, based on the exothermic reaction: F+D2DF(v,j)+D

Share and Cite:

M. Ferhat, Z. Belgacem and B. Said, "Modelling the Cavity of Continuous Chemical Lasers (CCLs) Using Matlab Applications," American Journal of Computational Mathematics, Vol. 2 No. 4, 2012, pp. 331-335. doi: 10.4236/ajcm.2012.24045.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] W. Hua, Z. Jiang and Y. Zhao, “Nozzle Design in CW Hydrogen Fluoridechemical Laser,” Proceedings of SPIE, Vol. 2889, 1996, pp. 135-140. doi:10.1117/12.253272
[2] M. L. Shur, “The Numerical Analysis of HF Chemical Lasers in View of Interference between the Processes in the Combustion Zone and in Nozzle Unit,” High Temperature, Vol. 37, No. 4, 1999, pp. 647-655.
[3] P. L. Roe, “Approximate Riemann Solvers, Parameter Vectors and Difference Schemes,” Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-372. doi:10.1016/0021-9991(81)90128-5
[4] H. C. Yee, “A Class of High Resolution Explicit and Implicit Shock Capturing Methods,” NASA TM-101099, 1989.
[5] A. Jameson and E. Turkel, “Implicit Schemes and LU Decompositions,” Mathematics of Computation, Vol. 37, No. 156, 1981, PP. 385-397. doi:10.2307/2007433
[6] J. S. Park, “Study of Population Inversion and Laser Beam Generation in DF Chemical Laser System,” Ph.D. Thesis, Division of Aerospace Engineering, KAIST, Seoul, 2005.
[7] H. L. Chen, J. C. Stephenson and C. B. Moore, “Laser-Excited Vibrational Fluorescence of HCI and the HCI CO2 Laser,” Chemical Physics Letters, Vol. 2, No. 8, 1968, pp. 593-596. doi:10.1016/0009-2614(63)80025-1
[8] M. J. Berry, “F + H2, D2, HD Reactions: Chemical Laser Determination of the Product Vibrational State Populations and the F + HD Intramolecular Kinetic Isotope Effect,” Journal of Chemical Physics, Vol. 59, No. 12, 1973, p. 6229. doi:10.1063/1.1680002
[9] H. L. Chen, R. L. Taylor, J. Wilson, P. Lewis and W. Fyfe, “Atmospheric Pressure Pulsed HF Chemical Laser,” Journal of Chemical Physics, Vol. 61, No. 1, 1974, p. 306. doi:10.1063/1.1681638
[10] D. H. Maylotte, J. C. Polanyi and K. B. Woodall, “Energy Distribution among Reaction Products. IV. X + HY (X ≡ Cl,? Br;? Y ≡ Br,? I), Cl + DI,” Journal of Chemical Physics, Vol. 57, No. 4, 1972, p. 1547. doi:10.1063/1.1678436
[11] J. C. Polanyi and J. J. Sloan, “Energy Distribution among Reaction Products. VII. H + F2,” Journal of Chemical Physics, Vol. 57, 1972, p. 4988.
[12] I. Oppenheim, K. E. Shuler and G. H. Weiss, “Stochastic Theory of Multistate Relaxation Processes,” Advances in Molecular Relaxation Processes, Vol. 1, No. 1, 1967, pp. 13-68.
[13] K. Bergman and C. B. Moore, “Rotational Relaxation: An Analytic Solution of the Master Equation with Applications to HCl,” Journal of Chemical Physics, Vol. 63, No. 7, 1975, p. 643. doi:10.1063/1.431385
[14] R. J. Driscoll, “Mixing Enhancement in Chemical Lasers. Part II: Theory,” AIAA Journal, Vol. 25, No. 7, 1987, pp. 965-971. doi:10.2514/3.9729
[15] R. W. F. Gross and J. F. Bott, “Handbook of Chemical Lasers,” John Wiley& Sons, New York, 1976.
[16] H. C. Yee, “Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications,” Journal of Computational Physics, Vol. 68, No. 1, 1987, pp. 151- 179. doi:10.1016/0021-9991(87)90049-0
[17] J. R. Airey, “A New Pulsed I-R Chemical Laser,” IEEE Journal of Quantum Electronics, Vol. 3, No. 5, 1967, p. 208. doi:10.1109/JQE.1967.1074485
[18] www.sml.ee.upatras.gr/.../06-SimulinkManual-
[19] C. Herzberg, “Molecularspectra and Molecular Structure, Vol. 1. Spectra of Diitomic Molecules,” Van Nostrand, Princeton, 1963.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.