带宽对脉冲贝塞尔光束传输的影响

从惠更斯-菲涅耳衍射积分公式出发得到具有高斯型频谱分布的脉冲贝塞尔光束频率域的传输表示式，并使用傅里叶变换最后推导了脉冲贝塞尔光束时间域的传输公式。根据得到的公式通过具体数值计算对脉冲贝塞尔光束在自由空间中的传输进行了研究。计算结果表明脉冲光束的带宽对脉冲贝塞尔光束传输中的脉冲时间延迟和脉冲宽度产生影响。具体表现为脉冲光束带宽的增宽使脉冲时间延迟增大，并使脉冲时间波形的后沿拖长，从而导致脉冲宽度增宽。脉冲时间延迟和脉冲宽度还随传输距离发生变化。脉冲光束传输距离越大，脉冲时间延迟越大，脉冲宽度变得越宽。

Effect of Bandwidth on Propagation of Pulsed Bessel Beams

Starting from Huygens-Fresnel diffraction integral formula, propagation expression of pulsed Bessel beams with Gaussian spectrum in frequency domain is obtained. By using Fourier transform, propagation formula of the beams in temporal domain is derived. Based on the formula, propagation properties of the beams in free space are studied through numerical calculations. It is found that bandwidth of pulse has effects on time delay and pulse width. As bandwidth broadens, the time delay increases and temporal waveform changes, which results in increasing of pulse width. The time delay and pulse width also depend on propagation distance. Both of them increase when propagation distance increases.