Numerical investigation of relativistic self-focusing of intense laser beam with LG01 mode in plasmas |
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| Authors: | Farshad Sohbatzadeh Mohsen Rabbani Mahboubeh Ghalandari |
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| Affiliation: | 1. Department of Atomic and Molecular Physics, Science Faculty, University of Mazandaran, Babolsar, Iran;2. Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran;1. Beijing Computational Science Research Center, Beijing 100193, China;2. Department of Mathematics, IMI and the NonoCenter at USC, University of South Carolina, Columbia, SC 29208, USA;3. School of Materials Science and Engineering & National Institute for Advanced Materials, Nankai University, Tianjin 300350, China;4. Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China;5. School of Mathematics Science, Huaiyin Normal University, Huaian 223300, China;1. University of Chinese Academy of Sciences, Beijing 100049, China;2. LSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | In this paper, we numerically investigate the relativistic self-focusing of laser beam with LG01 mode in plasmas. An effective potential is introduced to identify the critical power. Numerical methods are employed to solve the governing equations. To verify the numerical procedures, we compare the known analytical solution of the relativistic critical power for TEM00 mode with our numerical method. It is shown that there is a good agreement between our numerical results and the analytical solution. The critical power for relativistic self-focusing of a LG01 laser beam is about 6 times of that for a TEM00 laser beam. |
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