论文标题
泵探针系统的耦合Schrodinger方程的显式高阶符号积分器
Explicit high-order symplectic integrators of coupled Schrodinger equations for pump-probe systems
论文作者
论文摘要
在非线性光学磁场内的两光束耦合，在某些条件下将能量从一个光束转移到另一个光束，在惯性限制融合（ICF）和等离子体光学方面受到了极大的关注。为了精确地评估耦合动力学，我们用全波耦合Schrodinger方程（CSE）和非线性折射率建模了此过程。我们发现，CSE构成了哈密顿系统，并提出了一种任意的高阶显式符号算法来数值求解CSE。开发的梁代码给出的数值结果与粒子中拟合模拟的梁的一致性良好，这证明了模型和算法的有效性。这项工作中介绍的模型和数值算法可以扩展到耦合波方程描述的更多非线性光学相互作用。
Two-beam coupling within the field of nonlinear optics, which transfers energy from one light beam to the other under certain conditions, has received considerable attention in inertial confinement fusion (ICF) and plasma optics. To evaluate the coupling dynamics precisely, we modeled this process with full-wave coupled Schrodinger equations (CSEs) and a nonlinear refractive index. We found that the CSEs constituted a Hamiltonian system and proposed an arbitrary higher-order explicit symplectic algorithm to solve the CSEs numerically. The numerical results given by the developed BEAM code showed a good agreement with those from particle-in-cell simulations, which demonstrated the validity of the model and algorithm. The model and numerical algorithm presented in this work can be extended to more nonlinear optical interactions described by coupled-wave equations.
