光学Bloch方程的数值解法  

Numerical Methods for Optical Bloch Equations

作　　者：郭莹莹[1] 余向阳[1] 

机构地区：[1]中山大学光电材料与技术国家重点实验室,广东广州510275

出　　处：《中山大学学报（自然科学版）》2005年第5期108-110,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家重点基础研究专项经费资助项目(G1999075200)

摘　　要：用常微分方程的经典数值解法Euler法、Heun法、标准四阶Runge-Kutta法和修正四阶预报-校正法求解光学Bloch方程,并与一定条件下的解析解进行了比较,分析了四种算法,尤其是修正四阶预报-校正算法的误差与可靠性。计算的结果表明,四种数值算法在合适步长下,对光学Bloch方程的求解都可以收敛.并能保持算法所具有的相应误差阶数。验证了四阶预报-校正算法的可靠性以及在光学Bloch方程分析光学瞬态相干过程中的应用。该方法对求解光学Bloeh方程具有普适意义。The classical numerical treatments of ordinary differential equations, including Euler, Heun, fourth-order Runge-Kutta and a new fourth-order predictor-corrector methods, are used to solve the optical Bloch equations. By comparing the numerical results and with analytical results, the four numerical methods, especially for the new method＇s errors and reliability are analyzed. The numerical results prove that, if the steps are suitable, the four numerical methods for the Bloch equations are possible convengence and can keep the numerical method＇s corresponding errors. The new method is reliable, can be used to optical transient coherent process, and is significant for solving the optical Bloch equations.

关 键 词：光学Bloch方程 二能级体系 光学瞬态过程 微分方程数值解法 

分 类 号：O175[理学—数学]