从惠更斯-菲涅耳衍射积分公式出发,对飞秒光脉冲在杨氏实验中的光谱移动和光谱开关做了研究和数值分析.结果表明,飞秒光脉冲在杨氏实验中也会出现光谱移动和光谱开关.一般情况下,光谱开关与脉冲宽度、载波频率、遮拦比和场点位置有关.光谱开关的数目随遮拦比的减小而减小,而发生光谱开关处的相对光谱移动随载波频率和脉冲宽度的减小而增加.因光谱开关极小值Smin=0,所以光谱开关属于奇点光学现象.可通过适当改变遮拦比来实现信息编码和信息传输.
Starting from the Huygens-Fresnel diffraction integral,the spectral shifts and spectral switches of femtosecond optical pulses in Young′s interference experiment are studied and analyzed numerically.It is shown that the spectral shifts and spectral switches,which take place in Young′s interference experiment,depend on the pulse width,carrier frequency,obscuration ratio and the position of field points in general.The number of the spectral switches decreases with decreasing obscuration ratio,and the relative spectral shifts at the spectral switches increases with decreasing carrier frequency and pulse width.The spectral switches studied in this paper belong to the phenomenon of singular optics because the minimum at the spectral switches Smin=0.The information encoding and transmission can be achieved by a suitable variation of the obscuration ratio.