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We establish anisotropic uncertainty principles (UPs) for general metaplectic operators acting on $L^2(\mathbb{R}^d)$, including degenerate cases associated with symplectic matrices whose $B$-block has nontrivial kernel. In this setting,…

Analysis of PDEs · Mathematics 2026-01-26 Elena Cordero , Gianluca Giacchi , Edoardo Pucci

Light beams with an azimuthal phase dependency of $e^{i\ell\phi}$ have helical phase fronts and thus carry orbital angular momentum (OAM), a strictly conserved quantity with propagation. Here, we engineer quasi three-dimensional (3D)…

The Orbital Angular Momentum (OAM) of light is an infinite-dimensional degree of freedom of light with several applications in both classical and quantum optics. However, to fully take advantage of the potential of OAM states, reliable…

Optical beams carrying orbital angular momentum (OAM) have gained significant interest due to their unique properties, enhancing various communication systems and enabling applications such as the characterization of material or molecular…

Optics · Physics 2024-12-18 Ju-Young Kim , Minhaeng Cho

With Rytov approximation theory, we derive the analytic expression of detection probability of Airy vortex beam carrying orbital angular momentum (OAM) through an anisotropic weak oceanic turbulence. We investigate the influences of…

Classical Physics · Physics 2018-10-17 Xinguang Wang , Zhen Yang , Shengmei Zhao

Using a quantum fluid model, a set of three paraxial coupled equations to describe the FEL instability is derived. These equations are solved numerically considering Laguerre-Gaussian modes as the initial conditions to study the transfer of…

Plasma Physics · Physics 2018-01-17 J. A. Arteaga , A. Serbeto , J. T. Mendonça , K. H. Tsui , L. F. Monteiro

One of the most widely used techniques for measuring the orbital angular momentum components of a light beam is to flatten the spiral phase front of a mode, in order to couple it to a single-mode optical fiber. This method, however, suffers…

Orbital angular momentum (OAM) light beams for high-order harmonic generation (HHG) provide an additional degree of freedom to study the light-matter interaction at ultrafast timescales. A more sophisticated configuration is a perfect…

Optics · Physics 2024-10-01 Bikash Kumar Das , C. Granados , M. Krüger , Marcelo F. Ciappina

The orbital angular momentum (OAM) of light is potentially interesting for astronomical study of rotating objects such as black holes, but the effect of reduced spatial coherence of astronomical light sources such as stars is largely…

Optics · Physics 2014-12-03 D. Hetharia , M. P. van Exter , W. Löffler

The existing techniques for measuring high-dimensional pure states of light in the orbital angular momentum (OAM) basis either involve a large number of single-pixel data acquisitions and substantial postselection errors that increase with…

Optics · Physics 2020-05-11 Girish Kulkarni , Suman Karan , Anand K. Jha

Vortices are whirling disturbances commonly found in nature ranging from tremendously small scales in Bose-Einstein condensates to cosmologically colossal scales in spiral galaxies. An optical vortex, generally associated with a spiral…

Optics · Physics 2021-08-23 Chenhao Wan , Jian Chen , Andy Chong , Qiwen Zhan

We present a novel technique for generating beams of light carrying orbital angular momentum (OAM) that increases mode purity and decreases singularity splitting by orders of magnitude. This technique also works to control and mitigate beam…

Optics · Physics 2023-02-22 Andrew Sontag , Mehmet A. Noyan , James M. Kikkawa

Heisenberg's uncertainty principle states that the position and momentum of a particle cannot be sharply determined simultaneously. Standard-deviation and entropic formulations capture the spread of the probability distribution but say…

Quantum Physics · Physics 2026-05-07 Jia-Yi Lin , Xin-Yu Li , Wei Wang , Shengjun Wu

We experimentally study the behavior of orbital angular momentum (OAM) of light in a noncollinear second harmonic generation (SHG) process. The experiment is performed by using a type I BBO crystal under phase matching conditions with…

Orbital angular momentum (OAM) of light appears when the phase of an electromagnetic wavefront winds around its direction of propagation, also known as optical vorticity. Contrary to the binary-valued photon spin, the integer-valued optical…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Zuzanna Werner , Andrzej Frączak , Valtýr Kári Daníelsson , Jacek Szczytko , Barbara Piętka , Helgi Sigurðsson

We investigate the problem of shaping radially symmetric annular beams into desired intensity patterns along the optical axis. Within the Fresnel approximation, we show that this problem can be expressed in a variational form equivalent to…

Optimization and Control · Mathematics 2015-06-16 John A. Gemmer , Shankar C. Venkataramani , Charles G. Durfee , Jerome V. Moloney

Control of orbital angular momentum (OAM) in optical fields has seen tremendous growth of late, with a myriad of tools existing for their creation and detection. What has been lacking is the ability to arbitrarily modify the OAM spectrum of…

Optics · Physics 2019-10-23 Jonathan Pinnell , Valeria Rodriguez-Fajardo , Andrew Forbes

Besides a linear momentum, optical fields carry an angular momentum (AM), which have two intrinsic components: one is spin angular momentum (SAM) related to the polarization state of the field, and the other is orbital angular momentum…

The position-momentum uncertainty-like inequality based on moments of arbitrary order for d-dimensional quantum systems, which is a generalization of the celebrated Heisenberg formulation of the uncertainty principle, is improved here by…

Quantum Physics · Physics 2011-12-30 Steeve Zozor , Mariela Portesi , Pablo Sanchez-Moreno , Jesus S. Dehesa

We introduce a new method to generate and tune the optical orbital angular momentum of a focused Gaussian beam passing through the optical superlattice under the electro-optic effect. The orbital angular momentum (OAM) arises from the curl…

Optics · Physics 2011-08-29 Jie Wang , Jianhong Shi , Linghao Tian , Xianfeng Chen
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