2009/06/05 by M. Lapert, R. Tehini, Gabriel Turinici +2
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Algorithm #Computer science #Control (management) #Control theory (sociology) #Field (mathematics) #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematical optimization #Mathematics #Monotonic function #Optimal control #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1103/physreva.79.063411
16 pages, 4 figures. To appear in Physical Review A
arxiv created 2009/06/05 · openalex publication_date 2009/06/18 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a monotonically convergent algorithm which can enforce spectral constraints on the control field (and extends to arbitrary filters). The procedure differs from standard algorithms in that at each iteration, the control field is taken as a linear combination of the control field (computed by the standard algorithm) and the filtered field. The parameter of the linear combination is chosen to respect the monotonic behavior of the algorithm and to be as close to the filtered field as possible. We test the efficiency of this method on molecular alignment. Using bandpass filters, we show how to select particular rotational transitions to reach high alignment efficiency. We also consider spectral constraints corresponding to experimental conditions using pulse-shaping techniques. We determine an optimal solution that could be implemented experimentally with this technique.