Transverse Laser Patterns: Quantitative Validation of the Order Parameter Equation
Final rept. 1 May 2005-31 May 2006
CIUDAD UNIVERSITARIA MEXICO DF (MEXICO)
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This report results from a contract tasking Universidad Politecnica of Madrid as follows The proposed research work will be carried out in 3 steps I Derivation of the order parameter equation from the MB equations using multiple scales techniques. II Numerical codes for the integration of the MB and OSH equations. IIa Development of a numerical code for the efficient computation of the solutions of the time-dependent MB equations in a 2D extended spatial domain. IIb Development of a numerical code for the integration of the time-dependent 2D complex Swift-Hohenberg equation. III Numerical simulation of the MB equations for different large spatial domain sizes and different small subcriticalities. Quantitative comparison with the solutions obtained from the CSH equation. FACILITIESEQUIPMENT Two INTEL PCs running linux with computational software C,Fortran. Matlab and Maple installed and access to several laser printers constitute the existing equipment that will be used. One newer and faster Intel PC with dual CPU will be purchased and dedicated to perform the intensive numerical computations required to complete this research. The research project will last 1 year. One report will be delivered at the end of the project and a progress report could be delivered after the first 6 months.
- Lasers and Masers