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基于衍射积分推导了矩形光谱的余弦高斯空间模式宽带激光通过薄透镜的传输公式,研究了激光通过薄透镜后的横向强度分布。通过数值计算比较分析了不同带宽时的强度分布波形变化。计算结果表明,在菲涅耳数较小的情况下,矩形光谱的余弦高斯空间模式宽带激光通过薄透镜后横向强度随带宽增大而变窄。但随着菲涅耳数增大,带宽对强度分布的影响减小。研究结果对宽带激光传输特性的深入研究和宽带激光的应用具有指导意义。
Based on the diffraction integral, the transmission formula of the broadband laser with the rectangular spectrum in cosine Gaussian space mode through the thin lens is deduced. The transverse intensity distribution of the laser beam passing through the thin lens is studied. Through the numerical calculation and comparison of different bandwidth bandwidth intensity distribution waveform changes. The results show that in the case of small Fresnel number, the width of cosine Gaussian spatial mode broadband laser with rectangular spectrum passes through the thin lens and the lateral intensity becomes narrower with increasing bandwidth. However, as the Fresnel number increases, the effect of bandwidth on the intensity distribution decreases. The result of the research is instructive for the further study of broadband laser transmission characteristics and the application of broadband laser.