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A Vector Theory on Spatial Solitons in Kerr Media |
SHE Wei-Long1;ZHENG Xi-Guang1;NI Xiao-Hui1;GUO Hong2 |
1State Key Laboratory of Ultrafast Laser Spectroscopy, Zhongshan University, Guangzhou 510275
2Laboratory of Light Transmission Optics, South China Normal University, Guangzhou 510631
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Cite this article: |
SHE Wei-Long, ZHENG Xi-Guang, NI Xiao-Hui et al 2001 Chin. Phys. Lett. 18 1346-1349 |
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Abstract A new vector theory which concerns the necessary and sufficient conditions of the self-trapping of a linearly polarized light beam in Kerr media is presented after generalization of Fermat's principle. It is rigidly proven under these conditions that 1+1-dimensional spatial solitons can exist in Kerr media but 2+1-dimensional solitons cannot. A new form of the general equation for 1+1-dimensional solitons in Kerr media is put forward and some of its solutions have been obtained.
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Keywords:
42.50.Rh
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Published: 01 October 2001
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