TIME-SPLITTING SINE SPECTRAL METHODS FOR SIMULATING FEMTOSECOND LASER PROPAGATION
Open Access
- Author:
- Stein, Matthew James
- Area of Honors:
- Interdisciplinary in Chinese and Mathematics
- Degree:
- Bachelor of Science
- Document Type:
- Thesis
- Thesis Supervisors:
- Xiantao Li, Thesis Supervisor
Xiantao Li, Thesis Supervisor
Andrew Leonard Belmonte, Thesis Honors Advisor
Shuang Shen, Thesis Honors Advisor - Keywords:
- femtosecond laser
partial differential equations
numerical approximation
spectral methods
nonlinear optics - Abstract:
- The goal of this project was to make a better approximation of the propagation of the femtosecond laser. Our eventual goal was to provide a model on the kilometer scale, which would enable long-range atmospheric sensing, namely of particulates. In this paper only short ranges were tested. After analyzing the model and establishing its effectiveness, beams with different parameters, initial conditions, and combinations were investigated. The goal was to take the existing work, apply a different method of integration (third order time-splitting sine-spectral method), and get a model more stable at longer ranges. The model is exponential order in mesh size, first order in time step size. 这个项目的目的是形成 一个比较好的飞秒激光船舶的近似。我们的最后的目的是建立能做长距离大气候传感的公里规模的模型。即空气中悬浮微粒。在这个报告中,我们只进行了短距离测试。我们的目标是利用已有的知识,使用别的积分方法(三阶时间分步正弦谱法),最终形成在长距离也比较稳定的模型。到底这个模型网距指数收敛,时间步距一阶收敛。