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计算数学 2009
NUMERICAL SIMULATIONS OF SOLITARY WAVES IN PHOTOVOLTAIC-PHOTOREFRACTIVE CRYSTAL
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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.