高斯光束通过双焦透镜的聚焦特性
Focusing properties of Gaussian beams passing through a bifocal lens
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摘要: 从Collins公式出发，研究了高斯光束通过双焦透镜后的聚焦特性。在无光阑的情况下，给出了轴上光强和x, y方向两束腰及其位置的解析公式。详细的数值计算表明，轴上光强最大点位于其中一个束腰位置附近或者相重合，但始终不能超过透镜较大的焦点。并且，相对束腰的位移随光阑效应的增加而增加。Abstract: Starting from Collins integral, t he focusing characteristics of Gaussian beams passing through a bifocal lens are studied. Analytical expressions for the axial intensity, waist widths and posit ions in the x and y directions are derived for the unapertured case. It is pointed out by detailed numerical calculations that the point of maximum intensity along the axis is located closer to one waist or at the position of one waist, but it can not exceed the larger focal point of the lens. Moreover, the shift relative to the waist position increases with increasing aperture effect.
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Key words:
- bifocal lens /
- focusing property /
- gaussian beam /
- focal shift
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