Genetic algorithms applied to nonlinear and complex domains [report]

D Barash, A E Woodin
1999 unpublished
The dissertation, titled "Genetic Algorithms Applied to Nonlinear and Complex Domains", describes and then applies a new class of powerful search algorithms (GAS) to certain domains. GAS are capable of solving complex and nonlinear problems where many parameters interact to produce a 'final' result such as the optimization of the laser pulse in the interaction of an atom with an intense laser field. GAS can very efficiently locate the global maximum by searching parameter space in problems
more » ... ce in problems which are unsuitable for a search using traditional methods. In particular, the dissertation contains new scientific findings in two areas. First, the dissertation examines the interaction of an ultra-intense short laser pulse with atoms. GAS are used to find the optimal frequency for stabilizing atoms in the ionization process. This leads to a new theoretical formulation, to explain what is happening during the ionization process and how the electron is responding to finite (real-life) laser pulse shapes. It is shown that the dynamics of the process can be very sensitive to the ramp of the pulse at high frequencies. The new theory which is formulated, also uses a novel concept (known as the (t ,t') method) to numerically solve the time-dependent Schrodinger equation Second, the dissertation also examines the use of GAS in modeling decision making problems. It compares GAS with traditional techniques to solve a class of problems known as Markov Decision Processes. The conclusion of the dissertation should give a clear idea of where GAS are applicable, especially in the physical sciences, in problems which are nonlinear and complex, i.e. difficult to analyze by other means Prof. Ann E. Countless help and support I received from my closest family: Debora, Isaac and Ronit. Finally, I would like to thank the Elzam family from the agricultural town of Aromas, CA. Last but not least, I would like to thank Dov Michaeli, vice president and chief scientist at Aphton cooperation. At troubled times, his advice on the right medications to correct the HMO failure led to my recovery. In addition, the many conversations we had about life in industry will accompany me in the future. I thank the generous support of the Department of Energy under contract W-7405-Eng-48 which enabled me to pursue my graduate studies as a student-employee at Lawrence Livermore National Laboratories.
doi:10.2172/14190 fatcat:k4ctuv32fff75nk5txw4zv3ehu