等束腰宽度超短脉冲光束传输的脉冲修正方法

Free-Propagation Corection of Few-Cycle Pulsed Beam with Constant Beam Waist

利用角谱分析和傅里叶变换的方法,得到一种描述几个周期的等束腰宽度脉冲光束传输的脉冲修正方法。以准单色光束传输的结果为出发点,通过对准单色光束的解进行泰勒级数展开,得到了一种相对简单的修正方法,可以精确的描述具有任意时间波形和横向光束分布的不短于一个周期的超短脉冲光束的传输行为。给出等束腰宽度超短脉冲的近似解,具体研究高斯脉冲光束的传输特性,分析几种不同的频谱对脉冲光束传输行为的影响。

By use of the angular-spectrum analysis and the Fourier transform method, a correction method is obtained to describe the propagation of few-cycle pulsed beam with constant beam waist. The correspondingly simple approach, which is developed by a Taylor expansion of the known quasi-monochromatic light-beam solution, can be used to describe the propagation of few-cycle laser pulses with arbitrary temporal envelope and transversal profiles. The approximation solution of Gaussian pulsed beam with constant beam waist is obtained, propagation characteristics of the Gaussian pulsed beam are investigated in detail, and effects of some different spectra on pulse propagation are analyzed.