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Under the introduction of any interface in its trajectory, an optical beam experiences polarization-dependent deflections in the longitudinal and transverse directions with respect to the plane of incidence. The physics of such optical beam…

Gaussian beams are asymptotically valid high frequency solutions concentrated on a single curve through the physical domain, and superposition of Gaussian beams provides a powerful tool to generate more general high frequency solutions to…

Numerical Analysis · Mathematics 2019-05-23 Hailiang Liu , James Ralston , Peimeng Yin

We study the effect of a magnetic field on Goos-H\"anchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

Multiple-degrees-of-freedom free-space communication combining polarization and high-order spatial modes promises high-capacity communication channel. While high-order spatial modes have been widely exploited for dense coding and…

Quantum Physics · Physics 2016-03-17 Ling Ji , Ai-Lin Yang , Xiao-Feng Lin , Xian-Min Jin

A novel type of discrete basis for paraxial beams is proposed, consisting of monomial vortices times polynomials of Gaussians in the radial variable. These bases have the distinctive property that the effective size of their elements is…

Optics · Physics 2018-02-27 Rodrigo Gutiérrez-Cuevas , Miguel A. Alonso

We develop the theory of optical beam shifts (both Goos-Hanchen and Imbert-Fedorov) for the case of near-normal incidence, when the incident angle becomes comparable with the angular beam divergence. Such a situation naturally leads to…

Optics · Physics 2024-06-12 Maxim Mazanov , Oleh Yermakov , Andrey Bogdanov , Andrei Lavrinenko

We describe a novel phenomenon occurring when a polarized Gaussian beam of light is observed in a Cartesian reference frame whose axes are not parallel to the direction of propagation of the beam. Such phenomenon amounts to an intriguing…

Quantum Physics · Physics 2009-02-27 Andrea Aiello , Christoph Marquardt , Gerd Leuchs

We theoretically report that, at a sharp electrostatic step potential in graphene, massless Dirac fermions can obtain Goos-H\"{a}nchen-like shifts under total internal reflection. Based on these results, we study the coherent propagation of…

Other Condensed Matter · Physics 2011-09-16 L. Zhao , S. F. Yelin

Using the energy spectrum of graphene with spatially modulated potential, we study the Goos-H\"anshen shifts near extra Dirac points located at finite energy $\varepsilon=m\pi$, with $m$ integer. On both sides of such points, we show that…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Abdellatif Kamal , Ahmed Jellal

We investigate the Goos-H\"{a}nchen (GH) shifts of partially coherent fields (PCFs) by using the theory of coherence. We derive a formal expression for the GH shifts of PCFs in terms of Mercer's expansion, and then clearly demonstrate the…

Optics · Physics 2014-07-28 Li-Gang Wang , Shi-Yao Zhu , M. Suhail Zubairy

We demonstrate first- and second-order spatial differentiation of an optical beam transverse profile using thin suspended subwavelength gratings. Highly reflective one-dimensional gratings are patterned on suspended 200 nm-thick silicon…

Various superpositions of Bessel-Gaussian beams and modified Bessel Gaussian beams are considered. Two selected parameters characterizing these beams, with respect to which the superpositions are constructed, are the topological index $n$…

Optics · Physics 2023-07-12 Tomasz Radożycki

We report the observation of the Goos-H\"anchen effect in graphene via a weak value amplification scheme. We demonstrate that the amplified Goos-H\"anchen shift in weak measurements is sensitive to the variation of graphene layers.…

Optics · Physics 2017-02-06 Shizhen Chen , Chengquan Mi , Liang Cai , Mengxia Liu , Hailu Luo , Shuangchun Wen

We studied the transport properties of electrons in graphene as they are scattered by a double barrier potential in the presence of an inhomogeneous magnetic field. We computed the transmission coefficient and Goos-H\"anchen like shifts for…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

On total reflection from a half-space filled with an isotropic, homogeneous, weakly dissipative, dielectric-magnetic medium with negative phase-velocity (NPV) characteristics, it is shown here that a linearly polarized beam can experience…

Optics · Physics 2007-05-23 A. Lakhtakia

A general family of structured Gaussian beams naturally emerges from a consideration of families of rays. These ray families, with the property that their transverse profile is invariant upon propagation (except for cycling of the rays and…

Optics · Physics 2017-05-01 Miguel A Alonso , Mark R Dennis

Explicit and compact expressions describing the reflection and the transmission of a Gaussian beam by anisotropic parallel plates are given. Multiple reflections inside the plate are taken into account as well as arbitrary optical axis…

High Energy Physics - Experiment · Physics 2009-11-07 Fabian Zomer

The analytical solution for the propagation of the laser beam with optical vortex through the system of lenses is presented. The optical vortex is introduced into the laser beam (described as Gaussian beam) by spiral phase plate. The…

In this paper, we present a new model, hollow Gaussian-Schell model beams (HGSMBs), to describe the practical dark hollow beams. An analytical propagation formula for HGSMBs passing through a paraxial first-order optical system is derived…

Optics · Physics 2009-11-13 Li-Gang Wang

Exact Bateman-Hillion solutions of the wave equation are applied to Hermite-Gaussian beams using a space-time constraint condition that requires the field density to fall as the inverse square of distance from the focal point of the beam at…

Quantum Physics · Physics 2014-12-08 Robert J. Ducharme