M6形式化——将激光束质量因子M2推广到三维域

IF 2.3 Q2 OPTICS
A. Brodsky, N. Kaplan
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引用次数: 1

摘要

本文定义了将光束质量因子M2推广到三维空间的理论基础,我们称之为M6形式主义。通过使用多焦点和Axicon光学系统的例子分别说明离散和连续轴向光束整形,建立了形式主义。对于连续情况,我们扩展了瑞利范围的定义,以纳入具有轴向和横向分量Madd2$M_{{\rm{add}}}^2$和M2的质量因子。利用几何光线追踪模拟,发现了一个比例因子C可以经验地描述轴向质量因子Mz2$M_z^2$的光学装置,包括轴向透镜和高斯单模输入光束的近轴聚焦透镜。利用我们的M6公式计算了高M2光束的焦深(DOF)范围,并与模拟的DOF范围很好地吻合,证明了M6公式在实际光学系统设计中的实用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
M6 formalism – generalization of the laser beam quality factor M2 to the 3D domain
Abstract Here we define a theoretical basis for the generalization of the beam quality factor M2 to three-dimensional (3D) space, which we call M6 formalism. The formalism is established through the use of examples of multifocal and Axicon optical systems to illustrate discrete and continuous axial beam shaping, respectively. For the continuous case, we expand the definition of the Rayleigh range to incorporate a quality factor having both axial and transverse components Madd2$M_{{\rm{add}}}^2$ and M2. Using geometrical ray tracing simulations, a proportion factor C is found to empirically describe the axial quality factor Mz2$M_z^2$ of an optical setup including an Axicon and a paraxial focusing lens with a Gaussian single mode input beam. Using our M6 formalism depth of focus (DOF) ranges are calculated for higher M2 beams, and are shown to be in good agreement with the simulated DOF range, demonstrating the usefulness of the M6 formalism for the design of real optical systems.
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来源期刊
CiteScore
4.40
自引率
0.00%
发文量
23
期刊介绍: Advanced Optical Technologies is a strictly peer-reviewed scientific journal. The major aim of Advanced Optical Technologies is to publish recent progress in the fields of optical design, optical engineering, and optical manufacturing. Advanced Optical Technologies has a main focus on applied research and addresses scientists as well as experts in industrial research and development. Advanced Optical Technologies partners with the European Optical Society (EOS). All its 4.500+ members have free online access to the journal through their EOS member account. Topics: Optical design, Lithography, Opto-mechanical engineering, Illumination and lighting technology, Precision fabrication, Image sensor devices, Optical materials (polymer based, inorganic, crystalline/amorphous), Optical instruments in life science (biology, medicine, laboratories), Optical metrology, Optics in aerospace/defense, Simulation, interdisciplinary, Optics for astronomy, Standards, Consumer optics, Optical coatings.
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