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General formula for phonon-assisted n-photon absorption in solids
Authors:Deng Hong-Xiang  Jiang Xiao-Dong  Xiang Xi  Sun Kai  Yuan Xiao-Dong  Zheng Wan-Guo  Gao Fei  Zu Xiao-Tao
Affiliation:Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China;Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China; Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China;Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China;Department of Materials Engineering and Sciences, University of Michigan, Ann Arbor, MI 48109, USA;Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China; Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China;Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China;Pacific Northwest National Laboratory, P. O. Box 999, Richland, WA 99352, USA;Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract:A general formula for phonon-assisted n-photon absorption in solids is obtained by (n+1)-th order perturbation technique. The complicated calculation process for transition element of n-photon absorption is simply demonstrated by a diagram approach that is proposed in this work. We find that the transition element for the n-photon absorption has a simple form, i.e., it is just the first term of the n-th order fist kind Bessel function.
Keywords:general formula  phonon-assisted photons absorption  n order perturbation technique  diagram approach  intense laser
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