arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2009.00587physics.optics
收藏

贝塞尔光束:统一和扩展的观点

Bessel Beams: Unified and Extended Perspective

Oscar Céspedes Vicente, Christophe Caloz

摘要:

我们提出了一个统一的和扩展的角度贝塞尔光束,无论其轨道角动量(OAM)-零,整数或非整数-和模式-标量或矢量,和LSE/LSM或TE/TM在后者的情况下。统一是基于沿光束的角谱锥的组成波的积分叠加,并且允许以通用方式描述、计算、关联和实现所有贝塞尔光束,甚至其他类型的光束。本文首先建立了积分叠加理论。然后,证明了非整数OAM TE/TM贝塞尔光束的存在,比较了LSE/LSM和TE/TM模式,并建立了它们之间有用的数学关系。它还提供了一个原始的描述的位置的noninteger-OAM奇点的组成波的初始相位。最后,介绍了一种通过适当调谐光源的适当叠加产生贝塞尔光束的一般方法。这种全球视角和理论扩展可能会在光谱学,显微镜和光学/量子力操纵等应用中开辟新的途径。

英文摘要:

We present a unified and extended perspective of Bessel beams, irrespective to their orbital angular momentum (OAM) -- zero, integer or noninteger -- and mode -- scalar or vectorial, and LSE/LSM or TE/TM in the latter case. The unification is based on the integral superposition of constituent waves along the angular-spectrum cone of the beam, and allows to describe, compute, relate, and implement all the Bessel beams, and even other types of beams, in a universal fashion. The paper first establishes the integral superposition theory. Then, it demonstrates the previously unreported existence of noninteger-OAM TE/TM Bessel beams, compares the LSE/LSM and TE/TM modes, and establishes useful mathematical relations between them. It also provides an original description of the position of the noninteger-OAM singularity in terms of the initial phase of the constituent waves. Finally, it introduces a general technique to generate Bessel beams by an adequate superposition of properly tuned sources. This global perspective and theoretical extension may open up new avenues in applications such as spectroscopy, microscopy, and optical/quantum force manipulations.

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。

↑