Acta Optica Sinica, Volume. 35, Issue s1, 119001(2015)

Study of Conserved Quantities and Characteristics of Nonlinear Helmholtz Solitons

Zhang Bingzhi*, Chen Zhifeng, Deng Rongbiao, Huang Feng, and Zheng Yanhua
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    Three conserved quantities of non-paraxial nonlinear Helmholtz equation are driven in theory, which are corresponding to the conserved quantities of nonlinear Schdinger equation (power, Hamiltonian, momentum). Formally, these conserved quantities can be simplified as that of the paraxial model when the non-paraxial term is ignored. In addition, the difference between the non-paraxial nonlinear Helmholtz model and the paraxial nonlinear Helmholtz model by analyzing the variation characteristics of the conserved quantities with the change of parameters of optical spatial solitons is studied. Especially, it is found that the divergence results of the Hamiltonian and momentum of optical spatial solitons can be suppressed in the non-paraxial model when transverse speed increases in paraxial model.

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    Zhang Bingzhi, Chen Zhifeng, Deng Rongbiao, Huang Feng, Zheng Yanhua. Study of Conserved Quantities and Characteristics of Nonlinear Helmholtz Solitons[J]. Acta Optica Sinica, 2015, 35(s1): 119001

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    Paper Information

    Category: Nonlinear Optics

    Received: Jan. 18, 2015

    Accepted: --

    Published Online: Jul. 27, 2015

    The Author Email: Bingzhi Zhang (zhang_bzh@gzhu.edu.cn)

    DOI:10.3788/aos201535.s119001

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