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The properties of the hollow beam produced by a conical lens are studied in detail. In particular, the impact of a rounded vertex is examined. It is shown that it could lead to drastic changes in the transverse distribution of the hollow…

Optics · Physics 2009-11-07 Benoit Depret , Philippe Verkerk , Daniel Hennequin

The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is investigated analytically and numerically using the nonlinear Schr\"odinger equation. The nonlinearity is shown to primarily affect the central parts of the…

Optics · Physics 2009-11-10 Pontus Johannisson , Dan Anderson , Mietek Lisak , Mattias Marklund

In a previous paper [Phys. Rev. E64 (2001) 066603; e-print physics/0001039], we showed that localized Superluminal solutions to the Maxwell equations exist, which propagate down (non-evanescence) regions of a metallic cylindrical waveguide.…

Classical Physics · Physics 2009-11-07 M. Zamboni-Rached , K. Z. Nobrega , Erasmo Recami , H. E. Hernandez-Figueroa

Metasurfaces with linear phase gradients can redirect light beams. We propose controlling both phase and amplitude of a metasurface to extend Snell's law to the realm of complex angles, enabling a non-decaying transmission through opaque…

The feasibility of a 220 - 330 GHz zero order axicon generated Bessel beam for corneal water content was explored. Simulation and experimental data from the 25-degree cone angle hyperbolic-axicon lens illuminating metallic spherical targets…

We present a unified and extended perspective of Bessel beams, irrespective to their orbital angular momentum (OAM) -- zero, integer or noninteger -- and mode -- scalar or vectorial, and LSE/LSM or TE/TM in the latter case. The unification…

Optics · Physics 2021-02-09 Oscar Céspedes Vicente , Christophe Caloz

An explicit formula for a new type of beams, which in this work are called the "special" hyperbolic Bessel-Gaussian (SHBG) beams, has been derived, using the method of the Hankel transform formulated in our previous work. The fundamental…

Optics · Physics 2025-02-13 Tomasz Radożycki

Scalar Bessel beams are derived both via the wave equation and via diffraction theory. While such beams have a group velocity that exceeds the speed of light, this is a manifestation of the "scissors paradox" of special relativty. The…

Optics · Physics 2007-05-23 Kirk T. McDonald

The time-resolved electron beam envelope parameters including sectional distribution and position are important and necessary for the study of beam transmission characteristics in the magnetic field and verifying the magnetic field setup…

Accelerator Physics · Physics 2015-02-10 Jiang Xiaoguo , Wang Yuan , Yang Zhiyong , Zhang Huang , Wang Yi , Wei Tao

Production of massless scalar particles by a relativistic semitransparent mirror of finite transverse size and longitudinal thickness in (1+3)D flat spacetime is studied. The derived particle spectrum formula is applied to two specific…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Kuan-Nan Lin , Pisin Chen

Light fields with extraordinary propagation behaviours such as nondiffracting and self-bending are useful in optical delivery for energy, information, and even objects. A kind of helical beams is constructed here based on the caustic…

Optics · Physics 2016-10-10 Yuanhui Wen , Yujie Chen , Siyuan Yu

The superposition of complex optical fields in three-dimension (3D) is the basis of several non-trivial wave phenomena. Significant among them are the non-uniform polarization distribution and their topological character, leading to the…

Optics · Physics 2024-10-01 Nitish Kumar , Cyriac Raju , Dinesh N. Naik , Nirmal K. Viswanathan

We report Bessel-like beam formation of acoustic waves by means of an axisymmetric grating of rigid tori. The results show that the generated beam pattern is similar to that of Bessel beams, characterized by elongated non-diffracting focal…

We demonstrate that beams originating from Fresnel diffraction patterns are self-accelerating in free space. In addition to accelerating and self-healing, they also exhibit parabolic deceleration property, which is in stark contrast to…

In a recent paper, Mansuripur et al. [Phys. Rev. A 84, 033813 (2011)] indicated and numerically verified the generation of the helical wavefront of optical beams using a conical-shape reflector. Because the optical reflection is largely…

Optics · Physics 2012-06-13 H. Kobayashi , K. Nonaka , M. Kitano

The motion of an electromagnetic wave, through a classically-forbidden region, has recently attracted renewed interest because of its implication with regard to the theoretical and experimental problems of superluminality. From an…

Optics · Physics 2009-11-07 D. Mugnai

We present a fully relativistic analysis of Bessel beams revealing some noteworthy features that are not explicit in the standard description. It is shown that there is a reference frame in which the field takes a particularly simple form,…

Optics · Physics 2009-11-11 S. Hacyan , R. Jauregui

We propose a superlens formed by an ultra-dense array of crossed metallic wires. It is demonstrated that due to the anomalous interaction between crossed wires, the structured substrate is characterized by an anomalously high index of…

Materials Science · Physics 2009-11-13 M. G. Silveirinha , C. A. Fernandes , J. R. Costa

The Bessel beam is discussed, including its historical development. We present the relationship with the Arago Spot, annular pupils, axicons and pupil filters. We also discuss Bessel-Gauss beams; higher order Bessel beams; electromagnetic…

Optics · Physics 2025-09-09 Colin J. R. Sheppard

General properties of linear propagation of discretized light in homogeneous and curved waveguide arrays are comprehensively investigated and compared to those of paraxial diffraction in continuous media. In particular, general laws…

Optics · Physics 2015-05-14 S. Longhi