【摘要】 通过将杨氏双缝窗口函数表示为复高斯函数叠加的方法,从Collins公式出发推导出了高斯-谢尔模型(GSM)光束通过杨氏双缝和ABCD光学系统后光强的近似解析表达式。利用该公式作了数值计算,通过与Collins公式计算结果进行比较,确定了该公式的适用范围,研究了相干长度和双缝中心遮拦比对解析公式适用范围的影响,并对该公式的应用前景作了展望。更多还原

【Abstract】 By expanding the window function of double-slit aperture into a finite sum of complex Gaussian functions and from the Collins formula,the approximate analytical propagation equation of Gaussian-Schell model(GSM) beams passing through Young’s double silts and ABCD optical system is derived.The validity region of the approximate analytical formula is given by comparing the results obtained from the analytical formula with those from the Collins formula.The effect of the spatial correlation length of GSM beams and the central obstruction ratio of Young’s double slits on the validity region of the approximate analytical formula is studied,and the application prospect of the formula is also presented.更多还原