“超光”介质中的孤子解及其传播性质

On Soliton Solutions and Its Propagation Property in Nonlinear Medium

运用正则量子化方法,得到了非线性相互作用系统的宏观哈密顿量,通过与超光理论的微观哈密顿量相比较,得到三阶非线性极化率()03>c,此结果不同于先前的理论;在经典极限下,详细讨论了超光波的性质:由非线性薛定谔方程描述超光波态,当考虑含时传播时,得到含时孤子解;如果考虑横向衍射,超光波则以空间亮孤子形式存在.

The Hamiltonian of a nonlinear interaction optical field with polarization is obtained through using the canonical quantizition method .Contrasting the Hamiltonian of the super light theory, ()03>cwas discovered ,and the essay analyses the properties of super guide wave that is described by nonlinear Schrodingere question (NSE) and the solutions of soliton in different condition were obtained.