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首页> 外文期刊>Journal of optics, A. Pure and applied optics: journal of the European Optical Society >The spun cusp complexified: complex ray focusing in chiral conical diffraction
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The spun cusp complexified: complex ray focusing in chiral conical diffraction

机译：纺成的尖状复合物：手性圆锥衍射中的复合射线聚焦

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摘要

The intensity of light refracted along the optic axis of a slab of dichroic chiral birefringent crystal is studied for a Gaussian incident beam. The geometrical optics is derived in terms of complex rays. The dominant intensity features are exponential changes in intensity where pairs of rays exchange dominance, attributable to the interference of nonorthogonally polarized complex rays. These exponential gradients swamp the sites of ray focusing, which occur along two lines in space associated with the branch points of the ray equation, and around a closed loop called a complex whisker. The complex whisker intersects the branch focal lines at two `complexified cusp' points, sites of higher-order focusing, which can be understood in terms of the complexification of one of the two control parameters defining the spun cusp catastrophe. The diffraction integrals are derived, and their asymptotics complementing the geometrical optics is explored.
机译：对于高斯入射光束，研究了沿二向色手性双折射晶体的平板沿光轴折射的光的强度。几何光学是根据复射线得出的。强度的主要特征是成对的射线交换优势时强度的指数变化，这归因于非正交偏振的复杂射线的干涉。这些指数梯度淹没了射线聚焦的位置，射线聚焦的位置沿着与射线方程的分支点关联的空间中的两条线出现，并围绕一个称为复杂晶须的闭环。复杂的晶须在两个“复杂的尖点”点（高阶聚焦的位置）处与分支焦点相交，这可以通过定义旋转尖峰灾难的两个控制参数之一的复杂性来理解。导出了衍射积分，并探索了它们的渐近线与几何光学的互补性。

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