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A representation theory of finite electromagnetic beams in free space is formulated by factorizing the field vector of the plane-wave component into a $3 \times 2$ mapping matrix and a 2-component Jones-like vector. The mapping matrix has…

Optics · Physics 2016-02-01 Chun-Fang Li

Similar to light polarization that is selected by a superposition of optical basis, electron spin direction can be controlled through a superposition of spin basis. We investigate such a spin interference occurring in photoemission of the…

Materials Science · Physics 2022-03-16 Kenta Kuroda , Koichiro Yaji , Ryo Noguchi , Ayumi Harasawa , Shik Shin , Takeshi Kondo , Fumio Komori

Eyeglasses play an important role in the perception of identity. Authentic virtual representations of faces can benefit greatly from their inclusion. However, modeling the geometric and appearance interactions of glasses and the face of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-10 Junxuan Li , Shunsuke Saito , Tomas Simon , Stephen Lombardi , Hongdong Li , Jason Saragih

A new technique based on superposition of two speckle patterns is proposed and demonstrated for controlled modulation of the spatial polarization distribution of the resultant speckle. It is demonstrated both theoretically and…

Optics · Physics 2021-11-15 Abhijit Roy , Rakesh K. Singh , Maruthi M. Brundavanam

Finite element methods are well-known to admit robust optimal convergence on simplicial meshes satisfying the maximum angle conditions. But how to generalize this condition to polyhedra is unknown in the literature. In this work, we argue…

Numerical Analysis · Mathematics 2022-12-15 Ruchi Guo

Control of the phase and polarization states of light is an important goal for nearly all optical research. The development of an efficient optical component that allows the simultaneous manipulation of the polarization and phase…

Spatial light modulators are versatile devices employed in a vast range of applications to modify the transverse phase or amplitude profile of an incident light beam. Most experiments are designed to use a specific polarization which…

Quantum Physics · Physics 2014-05-06 G. Barreto Lemos , J. O. de Almeida , S. P. Walborn , P. H. Souto Ribeiro , M. Hor-Meyll

Photonic metasurfaces are ultrathin electromagnetic wave-molding metamaterials providing the missing link for the integration of nanophotonic chips with nanoelectronic circuits. An extra twist in this field originates from spin-optical…

Recently many methods have been proposed to create the vector fields, due to the academic interest and a variety of attractive applications such as for particle acceleration, optical trapping, particle manipulation, and fluorescence…

Vector beams are often regarded as non-separable superpositions of spatial and polarization degrees of freedom that satisfy the wave equation. This interpretation ties their polarization structure to their spatial shape. Here, we introduce…

This paper revisits the role of positional embeddings (PEs) within vision transformers (ViTs) from a geometric perspective. We show that PEs are not mere token indices but effectively function as geometric priors that shape the spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Jian Shi , Michael Birsak , Wenqing Cui , Zhenyu Li , Peter Wonka

The topological phase acquired by vector vortex optical beams is investigated. Under local unitary operations on their polarization and transverse degrees of freedom, the vector vortices can only acquire discrete geometric phase values, 0…

Quantum Physics · Physics 2015-06-17 C. E. R. Souza , J. A. O. Huguenin , A. Z. Khoury

The band structure of transition metal dichalcogenides (TMDCs) with valence band edges at different locations in the momentum space could be harnessed to build devices that operate relying on the valley degree of freedom. To realize such…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Oriol Lopez Sanchez , Dmitry Ovchinnikov , Shikhar Misra , Adrien Allain , Andras Kis

We present a velocity-based moving mesh virtual element method for the numerical solution of PDEs involving moving boundaries. The virtual element method is used for computing both the mesh velocity and a conservative Arbitrary…

Numerical Analysis · Mathematics 2023-12-19 H. Wells , M. E. Hubbard , A. Cangiani

Transformation optics has recently attracted extensive interest, since it provides a novel design methodology for manipulating light at will. Although transformation optics in principle embraces all forms of electromagnetic phenomena on all…

Optics · Physics 2015-05-18 Yongmin Liu , Thomas Zentgraf , Guy Bartal , Xiang Zhang

Fast electrons spectromicroscopies enable to measure quantitatively the optical response of excitations with unrivaled spatial resolution. However, due to their inherently scalar nature, electron waves cannot access to polarization-related…

Optics · Physics 2021-05-26 Hugo Lourenço-Martins , Davy Gérard , Mathieu Kociak

We present Virtual Elastic Objects (VEOs): virtual objects that not only look like their real-world counterparts but also behave like them, even when subject to novel interactions. Achieving this presents multiple challenges: not only do…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Hsiao-yu Chen , Edgar Tretschk , Tuur Stuyck , Petr Kadlecek , Ladislav Kavan , Etienne Vouga , Christoph Lassner

This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular…

Numerical Analysis · Mathematics 2026-01-14 Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk

Violating a nonlocality inequality enables the most powerful remote quantum information tasks and fundamental tests of quantum physics. Loophole-free photonic verification of nonlocality has been achieved with polarization-entangled photon…

This article presents a novel telepresence system for advancing aerial manipulation in dynamic and unstructured environments. The proposed system not only features a haptic device, but also a virtual reality (VR) interface that provides…

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