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An overlapped continuous model framework, for the Helmholtz wave propagation problem in unbounded regions comprising bounded heterogeneous media, was recently introduced and analyzed by the authors ({\tt J. Comput. Phys., {\bf 403}, 109052,…

Numerical Analysis · Mathematics 2021-06-30 V. Domínguez , M. Ganesh

The optical chirality and spin angular momentum of structured scalar vortex beams has been intensively studied in recent years. The pseudoscalar topological charge $\ell$ of these beams is responsible for their unique properties.…

Optics · Physics 2024-12-02 Kayn A. Forbes

We study circular Airy vortex beams (CAVBs) with two same or opposite point vortices symmetrically loaded on x-axis, inside, onside and outside of the main ring (The absolute value of topological charge is one). It is found that the loading…

Optics · Physics 2021-07-20 Zhifang Qiu , Bingsong Cao , KaiKai Huang , Xian Zhang , Xuanhui Lu

Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete…

Differential Geometry · Mathematics 2017-01-19 Felix Knöppel , Ulrich Pinkall

This paper theoretically proposes a multichannel functional metasurface computer characterized by Generalized Sheet Transition Conditions (GSTCs) and surface susceptibility tensors. The study explores a polarization- and angle-multiplexed…

Optics · Physics 2019-06-26 Ali Momeni , Hamid Rajabalipanah , Ali Abdolali , Karim Achouri

An absorptive Rayleigh dielectric sphere in a non-diffracting non-paraxial fractional Bessel vortex beam experiences a spin torque. The axial and transverse radiation spin torque components are evaluated in the dipole approximation using…

Optics · Physics 2017-03-03 F. G. Mitri

Multiple light scattering is widely used to characterize dense colloidal systems as well as in deep tissue imaging; experiments are often interpreted via a theory of diffusion of the light intensity within a sample, neglecting the vector…

Soft Condensed Matter · Physics 2007-05-23 A. C. Maggs , V. Rossetto

Variational method is applied to describe Bose-Einstein condensates (BEC) interacting via a pseudo-potential, taking into account quantum fluctuations around the mean field by the Gaussian approximation. Contributions from the pair-wise…

Condensed Matter · Physics 2007-05-23 Y. Tsue , D. Vautherin , T. Matsui

In this paper we analyze the effects of virtual vector bileptons in polarized Bhabha scattering at the energies of the future linear colliders. In order to make the calculations of the differential cross sections more realistic, important…

High Energy Physics - Phenomenology · Physics 2009-08-11 B. Meirose , A. J. Ramalho

We define distributions on an abstract measure space endowed with a sequence of partitions, and introduce analogues of Besov spaces with negative smoothness in this setting. In particular, we describe these spaces of distributions using…

Analysis of PDEs · Mathematics 2025-11-27 Mateus Marra , Pedro Morelli , Daniel Smania

In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy,…

Optics · Physics 2021-02-17 Niall Byrnes , Matthew R. Foreman

Particle-level measurements, especially of differential cross-sections, made in fiducial regions of phase-space have a high degree of model-independence and can therefore be used to give information about a wide variety of Beyond the…

High Energy Physics - Phenomenology · Physics 2019-10-02 J. M. Butterworth

Conventional caustic methods in real or Fourier space produced accelerating optical beams only with convex trajectories. We develop a superposition caustic method capable of winding light beams along non-convex trajectories. We ascertain…

Optics · Physics 2016-08-03 Yuanhui Wen , Yujie Chen , Yanfeng Zhang , Hui Chen , Siyuan Yu

We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the…

Optics · Physics 2022-03-30 Maxim A. Yurkin , Alfons G. Hoekstra

Vector modes represent the most general state of light in which, the spatial and polarisation degrees of freedom are coupled in a non-separable way. Crucially, while polarisation is limited to a bi-dimensional space, the spatial degree of…

Recognized for their non-diffracting properties, Bessel beams can be conveniently combined to generate the so-called Frozen Waves, which are monochromatic beams endowed with topological charge and whose longitudinal intensity pattern can be…

The coherent pulse propagation of a Bessel beam resonant to the 8.4 eV nuclear clock transition in $^{229}$Th-doped crystals is investigated theoretically. Due to the magnetic dipole character of the clock transition, Bessel beams which…

Atomic Physics · Physics 2026-04-10 Alexander Franz , Tobias Kirschbaum , Adriana Pálffy

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

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis…

q-alg · Mathematics 2009-10-28 Takashi Takebe

We developed a Bessel-beam photoacoustic microscopical simulation platform by using the k-Wave: MATLAB toolbox. The simulation platform uses the ring slit method to generate Bessel beam. By controlling the inner and outer radius of the ring…

Medical Physics · Physics 2020-09-23 Xianlin Song , Jianshuang Wei , Lingfang Song
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