超短波电磁波包在近轴和慢变包络近似下的传播:时域方法
Propagation of ultrashort electromagnetic wave packets in free space beyond the paraxial and slowly-varying-envelope approximations : a time-domain approach
摘要:
本文提出了一种计算超短波电磁波包在傍轴和慢变包络近似下传播的时域方法。本文用摄动理论的解析方法求解了自由空间中的波动方程,而不需借助于傅立叶变换。本文用单色近轴光束的时间导数和空间导数的形式给出了精确解。讨论了径向极化横磁波包的特殊情况。
英文摘要:
A time-domain approach is proposed for the propagation of ultrashort electro- magnetic wave packets beyond the paraxial and the slowly-varying-envelope approximations. An analytical method based on perturbation theory is used to solve the wave equation in free space without resorting to Fourier trans- forms. An exact solution is obtained in terms of successive temporal and spatial derivatives of a monochromatic paraxial beam. The special case of a radially polarized transverse magnetic wave packet is discussed.
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