Transverse Laser Patterns: Quantitative Validation of the Order Parameter Equation
Abstract
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. FACILITIES/EQUIPMENT Two INTEL PC's 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 28, 2006
- Accession Number
- ADA455733
Entities
People
- Carlos Martel