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arXiv 2102.00265physics.optics
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线性介质中有限功率爆炸傍轴光束、涡旋光束和圆柱光束及其增强纵场

Exploding paraxial beams, vortex beams, and cylindrical beams of light with finite power in linear media, and their enhanced longitudinal field

Miguel A. Porras

备注：
8 pages, 6 figures
发表信息：
Phys. Rev. A 103, 033506 (2021)
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摘要：

我们提出了一组具有圆柱对称性的近轴光束，具有光滑和局部的横向轮廓，携带有限的功率，当它们在线性介质（如真空）中聚焦时，会产生强度奇异性。它们包括具有轨道角动量和径向偏振的光束，在这种情况下，它们会产生由无限亮环包围的点状相位和偏振奇点，以及奇异的纵向场。在实践中，这些影响表现在焦点强度和光斑尺寸，涡亮环强度和半径，以及纵向场的强度，强烈地改变与透镜孔径半径。因此，在不改变入射到透镜上的光的情况下，以基本上相同的聚集焦度，并且同时保持近轴聚焦条件，对这些聚焦特性进行连续控制。作为薛定谔方程的解，这些爆炸光束在物理学的其他领域也有类似的情况，在这些领域中，薛定谔方程是基本的动力学模型。

英文摘要：

We present a set of paraxial light beams with cylindrical symmetry, smooth and localized transversal profile carrying finite power, that develop intensity singularities when they are focused in a linear medium, such as vacuum. They include beams with orbital angular momentum and with radial polarization, in which case they develop punctual phase and polarization singularities surrounded by infinitely bright rings, along with singular longitudinal fields. In practice, these effects are manifested in focal intensities and spot sizes, vortex bright ring intensities and radii, and strengths of the longitudinal field, that strongly change with the lens aperture radius. Continuous control of these focal properties is thus exercised without changing the light incident on the lens, with substantially the same collected power, and while maintaining paraxial focusing conditions. As solutions of the Schrödinger equation, these exploding beams have analogues in other areas of physics where this equation is the fundamental dynamical model.

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