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In this work, an analytic expression is derived for the optical field generated by an off-axis Gaussian beam diffracted by a Discrete Vortex-Producing Lens. With this system, a multifocal arrangement of asymmetric optical vortices is…

Partially coherent electromagnetic sources with cylindrical symmetry and infinite extent radiating outwards are introduced. Their $3\times3$ cross-spectral density matrix is given through expansions of the field components in terms of basis…

We extend a recently proposed Quantum Field Theory (QFT) approach to the Lifshitz formula, originally implemented for a real scalar field, to the case of a fluctuating vacuum electromagnetic (EM) field, coupled to two flat, parallel…

High Energy Physics - Theory · Physics 2012-06-21 C. D. Fosco , M. L. Remaggi

The construction of fractal generalized zone plates (FraGZPs) from a set of periodic diffractive optical elements with circular symmetry is proposed. This allows us to increase the number of foci of a conventional fractal zone plate…

Quantum Field Theory with fields as Operator Valued Distributions with adequate test functions, -the basis of Epstein-Glaser approach known now as Causal Perturbation Theory-, is recalled. Its recent revival is due to new developments in…

Mathematical Physics · Physics 2007-05-23 Pierre Ca Grange , Ernst Werner

A theory of an optical vector pulsing soliton of self-induced transparency in an ensemble of semiconductor quantum dots is investigated. It is shown that a distribution of the excitonic ground-state transition dipole moments of the quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 G. T. Adamashvili , M. D. Peikrishvili , R. R. Koplatadze , K. L. Schengelia

This tutorial provides an overview of the local description of polarization for nonparaxial light, for which all Cartesian components of the electric field are significant. The polarization of light at each point is characterized by a $3$…

Optics · Physics 2023-05-09 Miguel A. Alonso

The polarization of x-rays plays an outstanding role in experimental techniques such as non-resonant magnetic x-ray scattering and resonant x-ray scattering of magnetic and multipolar order. Different instrumental methods applied to…

Strongly Correlated Electrons · Physics 2014-09-24 C. Detlefs , M. Sanchez del Rio , C. Mazzoli

We propose a feasible scenario to directly polarize a relativistic electron beam and obtain overall polarization in various directions through a filter mechanism for single-shot collision between an ultrarelativistic unpolarized electron…

Accelerator Physics · Physics 2023-04-04 Yuhui Tang , Qianyi Ma , Jinqing Yu , Yinren Shou , Xuezhi Wu , Xueqing Yan

An electric field propagating along a non-planar path can acquire geometric phases. Previously, geometric phases have been linked to spin redirection and independently to spatial mode transformation, resulting in the rotation of…

It is well-known that there exist infinitely-many inequivalent representations of the canonical (anti)-commutation relations of Quantum Field Theory (QFT). A way out, suggested by Algebraic QFT, is to instead define the quantum theory as…

High Energy Physics - Theory · Physics 2016-10-28 Suzanne Lanéry

Classical definition of degree of polarization is expressed in quantum domain by replacing intensities through quantum mechanical average values of relevant number operators and is viewed as first generalization of Intensity. This…

Quantum Physics · Physics 2013-03-19 Ravi S. Singh , Hari Prakash

We experimentally demonstrate the emergence of a purely azimuthally polarized vectorial vortex beam with a phase singularity upon Brewster reflection of focused circularly polarized light from a dielectric substrate. The effect originates…

Optics · Physics 2019-06-26 René Barczyk , Sergey Nechayev , Abdullah Butt , Gerd Leuchs , Peter Banzer

We consider a one-dimensional photonic crystal composed of alternating layers of isotropic and anisotropic dielectric materials. Such a system has different band structures for different polarizations of light. We demonstrate that if an…

Optics · Physics 2018-01-25 Ivan V. Timofeev , Dmitrii N. Maksimov , Almas F. Sadreev

This paper presents a research program aimed at establishing relational foundations for relativistic quantum physics. Although the formalism is still under development, we believe it has matured enough to be shared with the broader…

Quantum Physics · Physics 2024-07-23 Jan Głowacki

Partial zeta functions of algebraic varieties over finite fields generalize the classical zeta function by allowing each variable to be defined over a possibly different extension field of a fixed finite field. Due to this extra variation…

Number Theory · Mathematics 2022-10-27 Noah Bertram , Xiantao Deng , C. Douglas Haessig , Yan Li

We investigate theoretically the polarization properties of the quantum dot's optical emission from chiral photonic crystal structures made of achiral materials in the absence of external magnetic field at room temperature. The mirror…

Considering a quench process in which an electric field pulse is applied to the system, "$f$-sum rule" for the conductivity for general quantum many-particle systems is derived. It is furthermore extended to an infinite series of sum rules,…

Strongly Correlated Electrons · Physics 2020-10-28 Masaki Oshikawa , Haruki Watanabe

The photon polarization tensor is the central building block of an effective theory description of photon propagation in the quantum vacuum. It accounts for the vacuum fluctuations of the underlying theory, and in the presence of external…

High Energy Physics - Phenomenology · Physics 2012-08-28 Felix Karbstein , Lars Roessler , Babette Döbrich , Holger Gies

We present the notion of a filtered bundle as a generalisation of a graded bundle. In particular, we weaken the necessity of the transformation laws for local coordinates to exactly respect the weight of the coordinates by allowing more…

Differential Geometry · Mathematics 2024-11-04 Andrew James Bruce , Katarzyna Grabowska , Janusz Grabowski
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