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计算数学  2009 

NUMERICAL SIMULATIONS OF SOLITARY WAVES IN PHOTOVOLTAIC-PHOTOREFRACTIVE CRYSTAL
光伏光折变晶体中孤立波的数值模拟

Keywords: 光伏光折变晶体,傍轴方程,辛几何算法,高斯光束

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Abstract:

Solitary evolutions of gauss beams in photovoltaic-photorefractive crystal satisfy the paraxial equation. The paraxial equation was transformed into the symplectic structure of the infinite dimensional Hamiltonian system and the symplectic structure of the paraxial equation was discretizated by the symplectic method. The symplectic difference scheme of the paraxial equation was obtained. Numerical results showed the intensity of the applied field and the amplitude of the gauss beams have remarkable infulence on forming the steady solitary waves. The symplectic difference scheme can well simulate the solitary evolution behaviors of the paraxial equation.

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