非线性强度任意二聚的非线性链的透射性质
Transport properties of nonlinear chains with random dimer nonlinearity parameters
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摘要: 用离散的非线性薛定谔的递推关系研究了非线性强度任意二聚的非线性链的透射性质.结果表明该链存在一个共振透射态,共振态的能量为非线性强度与入射波振幅模平方的乘积;取出射波振幅为定值和取入射波振幅模为定值来计算透射系数,其结果在非共振态有明显的差别:取出射波振幅为定值时电子的透射随能量为单值函数,而取入射波振幅模为定值时电子的透射呈现多稳态.并指出只有取入射波振幅模为定值时才能真正反映非线性强度对电子透射性质的影响.Abstract: By using the recursion relation of discrete Schrodinger equation we investigate the transport properties of nonlinear chains with random dimer nonlinearity parameters. It is shown that there is a resonance state, which is just the product of the nonlinearity and the square of the incident wave amplitude modulus. The transmission coefficients are calculated in two conditions. One is that the transmission wave amplitude is a certain value, the other is that the incident wave amplitude modulus is a certain value. There are obvious differences in non-resonant states between the two kinds of conditions. The transmission is a single value function of the electronic energy for the former. However, it will be multi-stability for the latter. It is pointed out that the influence of the nonlinearity parameters on the transport properties can be exactly reflected only when the modulus of incident wave is set to be a certain value.
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