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arXiv 1403.0907physics.optics
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矢量球面准高斯涡旋光束

Vector spherical quasi-Gaussian vortex beams

F. G. Mitri

摘要:

本文采用复源点法,通过矢量分析,导出了描述和有效计算紧球形聚焦高阶电磁涡旋光束辐射轮廓的模型方程。这种解被称为高阶准高斯涡旋光束,严格满足矢量亥姆霍兹方程和麦克斯韦方程。它的特点是一个非零的整数度和顺序(n,m),分别是一个任意腰w0,衍射收敛长度称为瑞利范围ZR,和方位角相位依赖性的形式,对应于一个涡旋光束的复指数。高阶解的一个吸引人的特点是对强聚焦(或强发散)涡旋波场的严格描述,而不需要高阶修正,也不需要数值密集的方法。给出了高阶qG涡旋光束的解析表达式和数值计算结果,重点讨论了基于矢量势的轴向和横向偏振方案的高阶qG涡旋光束的束腰特性。

英文摘要:

Model equations for describing and efficiently computing the radiation profiles of tightly spherically-focused higher-order electromagnetic beams of vortex nature are derived stemming from a vectorial analysis with the complex-source-point method. This solution, termed as a high-order quasi-Gaussian (qG) vortex beam, exactly satisfies the vector Helmholtz and Maxwell's equations. It is characterized by a nonzero integer degree and order (n,m), respectively, an arbitrary waist w0, a diffraction convergence length known as the Rayleigh range zR, and an azimuthal phase dependency in the form of a complex exponential corresponding to a vortex beam. An attractive feature of the high-order solution is the rigorous description of strongly focused (or strongly divergent) vortex wave-fields without the need of neither the higher-order corrections nor the numerically intensive methods. Closed-form expressions and computational results illustrate the analysis and some properties of the high-order qG vortex beams based on the axial and transverse polarization schemes of the vector potentials with emphasis on the beam waist.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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