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Structured light plays an important role in metrology, optical trapping and manipulation, communications, quantum technologies, nonlinear optics and provides a rich playground for addressing new optical phenomena. Here we demonstrate a…

We propose an operational degree of polarization in terms of the variance of the projected Stokes vector minimized over all the directions of the Poincar\'e sphere. We examine the properties of this degree and show that some problems…

Perfect (optical) vortex (PV) beams are fields which are mooted to be independent of the orbital angular momentum (OAM) they carry. To date, the best experimental approximation of these modes is obtained from passing Bessel-Gaussian beams…

Optics · Physics 2020-01-08 Jonathan Pinnell , Valeria Rodriguez-Fajardo , Andrew Forbes

We report on the experimental observation of a novel type of polarization locked vector soliton in a passively mode-locked fiber laser. The vector soliton is characterized by that not only the two orthogonally polarized soliton components…

Optics · Physics 2009-03-16 D. Y. Tang , H. Zhang , L. M. Zhao , X. Wu

Stable, holomorphic vector bundles are constructed on an torus fibered, non-simply connected Calabi-Yau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the…

High Energy Physics - Theory · Physics 2008-11-26 Volker Braun , Yang-Hui He , Burt A. Ovrut , Tony Pantev

Our view of the high velocity cloud (HVC) system is changing dramatically with new observations from the Far Ultraviolet Spectroscopic Explorer mission and the Space Telescope Imaging Spectrograph onboard the Hubble Space Telescope. In…

Astrophysics · Physics 2007-05-23 Kenneth R. Sembach

A divergence-free horizontal vector current in Heisenberg space may be viewed as an element of the dual space of horizontal test vector fields. By applying a horizontal Liouville theorem in this setting, the flow lines of such a vector…

Functional Analysis · Mathematics 2026-05-14 Zhengyao Huang , Wilhelm Klingenberg

A spectral line inversion code, Very Fast Inversion of the Stokes Vector (VFISV), has been used since May 2010 to infer the solar atmospheric parameters from the spectropolarimetric observations taken by the Helioseismic and Magnetic Imager…

Solar and Stellar Astrophysics · Physics 2021-12-22 Ana Belén Griñón-Marín , Adur Pastor Yabar , Yang Liu , J. Todd Hoeksema , Aimee Norton

Ten isolated compact high-velocity clouds (CHVCs) of the type cataloged by Braun & Burton (1999) have been imaged with the Arecibo telescope and were found to have a nested core/halo morphology. We argue that a combination of…

Astrophysics · Physics 2009-11-06 W. B. Burton , R. Braun , J. N. Chengalur

Six examples of the compact, isolated high-velocity clouds catalogued by Braun & Burton (1999) and identified with a dynamically cold ensemble of primitive objects falling towards the barycenter of the Local Group have been imaged with the…

Astrophysics · Physics 2016-01-27 W. B. Burton , Robert Braun

A family of $k$ point sets in $d$ dimensions is well-separated if the convex hulls of any two disjoint subfamilies can be separated by a hyperplane. Well-separation is a strong assumption that allows us to conclude that certain kinds of…

Computational Geometry · Computer Science 2022-09-07 Helena Bergold , Daniel Bertschinger , Nicolas Grelier , Wolfgang Mulzer , Patrick Schnider

Use of electron vortex beams (EVB), that is convergent electron beams carrying an orbital angular momentum (OAM), is a novel development in the field of transmission electron microscopy. They should allow measurement of element-specific…

Materials Science · Physics 2015-06-19 Jan Rusz , Somnath Bhowmick , Mattias Eriksson , Nikolaj Karlsson

We report the first measurement with no approximations of the full field of tightly focused vector beams (NA up to $1.23$) across areas of $\sim 9-49\,\lambda ^2$. Prior to focusing, the structured laser light has a linear or circular…

Optics · Physics 2021-07-20 Isael A. Herrera-Hernández , Pedro A. Quinto-Su

We propose a new kind of optical vortex called the Hermite-Gaussian-like optical vortex (HGOV) inspired by the crossphase (CP). Theoretically, we investigate how the CP is decoupled from the phase of a cylindrical lens. We also investigate…

Optics · Physics 2020-05-15 Chen Wang , Yuan Ren , Tong Liu , Linlin Chen , Song Qiu

We describe the polarization topology of the vector beams emerging from a patterned birefringent liquid crystal plate with a topological charge $q$ at its center ($q$-plate). The polarization topological structures for different $q$-plates…

New examples of harmonic unit vector fields on hyperbolic 3-space are constructed by exploiting the reduction of symmetry arising from the foliation by horospheres. This is compared and contrasted with the analogous construction in…

Differential Geometry · Mathematics 2007-12-31 C. M. Wood

A distinct sub-class of anomalous velocity HI emission features has emerged from recent high quality surveys of the Local Group environment, namely the compact high velocity clouds (CHVCs). A program of high-resolution imaging with the…

Astrophysics · Physics 2007-05-23 Robert Braun , W. Butler Burton

We investigate in this work a fully-discrete semi-Lagrangian approximation of second order possibly degenerate Hamilton-Jacobi-Bellman (HJB) equations on a bounded domain with oblique boundary conditions. These equations appear naturally in…

Numerical Analysis · Mathematics 2021-09-22 Elisa Calzola , Elisabetta Carlini , Xavier Dupuis , Francisco J. Silva

This paper aims at developing an automatic algorithm for moth recognition from trap images in real-world conditions. This method uses our previous work for detection [1] and introduces an adapted classification step. More precisely, SVM…

Computer Vision and Pattern Recognition · Computer Science 2018-09-19 Mohamed Chafik Bakkay , Sylvie Chambon , Hatem A. Rashwan , Christian Lubat , Sébastien Barsotti

A model for a new electron vortex beam production method is proposed and experimentally demonstrated. The technique calls on the controlled manipulation of the degrees of freedom of the lens aberrations to achieve a helical phase front.…

Optics · Physics 2014-02-10 L. Clark , A. Béché , G. Guzzinati , A. Lubk , M. Mazilu , R. Van Boxem , J. Verbeeck
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