倾斜坐标系下近轴模型模拟激光束传播
Simulation of Laser Beam Propagation With a Paraxial Model in a Tilted Frame
AI总结：
针对传播方向与区域边界倾斜的情况，通过解析公式和数值方法求解亥姆霍兹方程近轴近似下的薛定谔方程，并扩展到激光等离子体相互作用的时间相关模型。
摘要：
我们研究在传播方向相对于区域边界倾斜的情况下，由亥姆霍兹方程的近轴近似导出的薛定谔方程。第一部分进行了数学分析，在折射率和吸收系数为常数的简单情况下得到了解的解析公式。随后，我们提出了一种利用先前解析表达式求解初始问题的数值方法。给出了数值结果。我们还概述了扩展到与激光等离子体相互作用相关的时间相关模型。
英文摘要：
We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the boundary of the domain. In a first part, a mathematical analysis is made which leads to an analytical formula of the solution in the simple case where the refraction index and the absorption coefficients are constant. Afterwards, we propose a numerical method for solving the initial problem which uses the previous analytical expression. Numerical results are presented. We also sketch an extension to a time dependant model which is relevant for laser plasma interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
