English
Related papers

Related papers: The paraxial approximation fails to describe the i…

200 papers

Light beams carrying orbital angular momentum, such as Laguerre-Gaussian beams, give rise to the violation of the standard dipolar selection rules during the interaction with matter yielding, in general, an exchange of angular momentum…

For over three decades, the study of optical vortex beams carrying orbital angular momentum (OAM) has been at the forefront of optics, driven by fundamental questions about optical momentum as well as diverse applications in quantum…

Optics · Physics 2025-08-15 Kayn A Forbes

In the study of laser-driven electron acceleration, it has become customary to work within the framework of paraxial wave optics. Using an exact solution to the Helmholtz equation as well as its paraxial counterpart, we perform numerical…

Optics · Physics 2013-03-19 Vincent Marceau , Charles Varin , Michel Piché

Transfer mechanism of orbital angular moment(OAM) of light to trapped ground-state atoms under paraxial approximation is well known. Here we show how optical OAM of a Laguerre-Gaussian(LG) beam under paraxial approximation can be…

Quantum Physics · Physics 2018-01-17 Koushik Mukherjee , Sonjoy Majumder , Pradip Kumar Mondal , Bimalendu Deb

For paraxial light beams and electromagnetic fields, the Stokes vector and polarization matrix provide equivalent scalar measures of optical chirality, widely used in linear optics. However, growing interest in non-paraxial fields, with…

Optics · Physics 2025-05-23 Kayn A. Forbes , David L. Andrews

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

Usual Gaussian beams are particular scalar solutions to the paraxial Helmholtz equation, which neglect the vector nature of light. In order to overcome this inconvenience, Simon et al. (J. Opt. Soc. Am. A 1986, 3, 536-540) found a paraxial…

Optics · Physics 2020-03-10 A. S. Sanz , M. D. Davidovic , M. Bozic

One of the reasons for the tremendous success of a plane-wave approximation in particle physics is that the non-paraxial corrections to such observables as energy, magnetic moment, scattering cross section, and so on are attenuated as…

Quantum Physics · Physics 2018-06-26 Dmitry Karlovets

We analyze the photo-excitation of atoms with a single valence electron by cylindrically polarized Laguerre-Gaussian beams. Theoretical analysis is performed within the framework of first-order perturbation theory and by expanding the…

Atomic Physics · Physics 2022-03-15 S. Ramakrishna , J. Hofbrucker , S. Fritzsche

The recognition in the 1990s that vortex beams (VBs), paraxial light beams with optical vortices, carry orbital angular momentum (OAM), has benefited applications ranging from optical manipulation to high-dimensional classical and quantum…

An optical vortex, produced at one point in an optical beam, would propagate through an optical system to another point where the vortex can be used for some purpose. However, asymmetrical optical elements in such a system can cause…

Optics · Physics 2012-01-09 Filippus S. Roux

When a phase singularity is suddenly imprinted on the axis of an ordinary Gaussian beam, an optical vortex appears and starts to grow radially, by effect of diffraction. This radial growth and the subsequent evolution of the optical vortex…

Electron vortex beams hold great promise for development in transmission electron microscopy, but have yet to be widely adopted. This is partly due to the complex set of interactions that occur between a beam carrying orbital angular…

Optics · Physics 2016-06-29 L. Clark , G. Guzzinati , A. Béché , A. Lubk , J. Verbeeck

We study Mie scattering of Laguerre-Gaussian (LG) light beams remodelled using the method of far-field matching. The theoretical results are used to analyze the optical field in the near-field region for purely azimuthal LG beams…

Optics · Physics 2015-06-18 Alexei D. Kiselev , Dmytro O. Plutenko

Paraxial diffraction of monochromatic Gaussian beams by arbitrarily shaped polygonal apertures is analytically explored within the boundary diffraction wave theory framework. Exact closed-form expressions of the diffracted wavefield are…

Optics · Physics 2019-09-04 Riccardo Borghi

Enhancing the ability to resolve axial details is crucial in three-dimensional optical imaging. We provide experimental evidence showcasing the ultimate precision achievable in axial localization using vortex beams. For Laguerre-Gauss (LG)…

The relativistic quantum-mechanical description of a charged Laguerre-Gauss beam accelerated in a uniform electric field has been fulfilled. Stationary wave eigenfunctions are rigorously derived. The evolution of the beam parameters during…

Accelerator Physics · Physics 2025-06-24 Qi Meng , Ziqiang Huang , Xuan Liu , Wei Ma , Zhen Yang , Liang Lu , Alexander J. Silenko , Pengming Zhang , Liping Zou

Tightly-focused laser beams, or optical tweezers, are essential for analogue and digital quantum simulation with neutral atoms and trapped ions. Despite this, most of the current intuition and theoretical treatment utilizes the paraxial…

Improving axial resolution is of paramount importance for three-dimensional optical imaging systems. Here, we investigate the ultimate precision in axial localization using vortex beams. For Laguerre-Gauss beams, this limit can be achieved…

Quantum Physics · Physics 2021-03-09 D. Koutny , Z. Hradil , J. Rehacek , L. L. Sanchez-Soto

Studies of nonlinear quantum vacuum signals often model the driving laser fields as paraxial beams. This in particular holds for analytic approaches. While this allows for reliable predictions in most situations, there are also notable…

Optics · Physics 2025-07-17 Felix Karbstein , Fabian Schütze