Bichromatic optical Lissajous fields
Bichromatic optical Lissajous fields
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DOI：
10.1016/j.optcom.2003.07.053
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发表时间：
2003-10
影响因子：
2.4
通讯作者：
I. Freund
中科院分区：
文献类型：
--
作者：
I. Freund
通过二次谐波产生的双色光学Lissajous场描述了各种高斯输入场，包含矢量或椭圆奇点。电矢量E在每一个光周期中重复描绘出的李萨如图形比我们熟悉的单色光的偏振椭圆复杂得多，可以包含0-3个自相交。八个不同的特征，这些数字进行了讨论，其中一些包含意想不到的奇异性。这些表征中的六个表示在实验上可测量的双色斯托克斯参数。与单色偏振椭圆的情况一样，利萨如图形可以被分配一个旋向（右/左），这取决于E描绘图形的方向。两种不同形式的手性反转进行了讨论：这导致两个不同的李萨如线奇点。像偏振椭圆一样，李萨如图形也可以被指定一个方向，导致各种点奇点。一束输入光含有一个轴上矢量（椭圆）点奇点，其绝对电荷为n，输出光含有12 n +1（6 n +1）个李萨如点奇点。
Bichromatic optical Lissajous fields generated via second harmonic generation are described for a variety of Gaussian input fields that contain vector or elliptic singularities. The Lissajous figures repetitively traced out by the electric vector E during each optical cycle are more complicated than the familiar polarization ellipse of monochromatic light and can contain 0–3 self intersections. Eight different characterizations of these figures are discussed, some of which contain unexpected singularities. Six of these characterizations are expressed in terms experimentally measurable bichromatic Stokes parameters. As is the case for the monochromatic polarization ellipse, Lissajous figures can be assigned a handedness (right/left) that depends on the sense in which E traces out the figure. Two different forms of handedness reversal are discussed: these lead to two different Lissajous line singularities. Like the polarization ellipse, Lissajous figures can also be assigned an orientation that leads to a variety of point singularities. An input beam containing a single on axis vector (elliptic) point singularity with absolute charge n is found to produce an output beam that contains 12n+1 (6n+1) Lissajous point singularities.