General formula for phonon-assisted n-photon absorption in solids

doi:10.1088/1674-1056/19/10/107801

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 107801-107801.doi: 10.1088/1674-1056/19/10/107801

General formula for phonon-assisted n-photon absorption in solids

邓洪祥¹, 向霞¹, 祖小涛¹, 蒋晓东², 袁晓东², 孙凯³, 高飞⁴, 郑万国⁵

(1)Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China; (2)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; (3)Department of Materials Engineering and Sciences, University of Michigan, Ann Arbor, MI 48109, USA; (4)Pacific Northwest National Laboratory, P. O. Box 999, Richland, WA 99352, USA; (5)Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China

收稿日期:2010-03-06 修回日期:2010-04-09 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National High Technology Research and Development Program of China (863 Program) (Grant Nos. 2007AA804233 and 2008AA804050) and by the Fundamental Research Funds for the Central Universities (Grant Nos. ZYGX2009J046 and ZYGX2009X007).

General formula for phonon-assisted n-photon absorption in solids

Deng Hong-Xiang(邓洪祥)^a), Jiang Xiao-Dong(蒋晓东)^a)b)†, Xiang Xia(向霞)^a), Sun Kai(孙凯)^c), Yuan Xiao-Dong(袁晓东)^a)b), Zheng Wan-Guo(郑万国)^b), Gao Fei(高飞)^d), and Zu Xiao-Tao(祖小涛)^a)‡

^a Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China; ^bResearch Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China; ^c Department of Materials Engineering and Sciences, University of Michigan, Ann Arbor, MI 48109, USA; ^d Pacific Northwest National Laboratory, P. O. Box 999, Richland, WA 99352, USA

Received:2010-03-06 Revised:2010-04-09 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National High Technology Research and Development Program of China (863 Program) (Grant Nos. 2007AA804233 and 2008AA804050) and by the Fundamental Research Funds for the Central Universities (Grant Nos. ZYGX2009J046 and ZYGX2009X007).

摘要/Abstract

摘要： 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.

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.

Key words: general formula, phonon-assisted photons absorption, n order perturbation technique, diagram approach, intense laser

中图分类号: (Phonon interactions)

63.20.K-

71.15.-m (Methods of electronic structure calculations) 71.20.-b (Electron density of states and band structure of crystalline solids)

邓洪祥, 蒋晓东, 向霞, 孙凯, 袁晓东, 郑万国, 高飞, 祖小涛. General formula for phonon-assisted n-photon absorption in solids[J]. 中国物理B, 2010, 19(10): 107801-107801.

Deng Hong-Xiang(邓洪祥), Jiang Xiao-Dong(蒋晓东), Xiang Xia(向霞), Sun Kai(孙凯), Yuan Xiao-Dong(袁晓东), Zheng Wan-Guo(郑万国), Gao Fei(高飞), and Zu Xiao-Tao(祖小涛). General formula for phonon-assisted n-photon absorption in solids[J]. Chin. Phys. B, 2010, 19(10): 107801-107801.

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General formula for phonon-assisted n-photon absorption in solids

General formula for phonon-assisted n-photon absorption in solids

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