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Quasi-Bessel beams produced by axiparabolas are increasingly used in high-intensity laser applications, yet their longitudinal profiles exhibit unwanted oscillations that limit their effectiveness. Here we identify the physical origin of…

We experimentally analyze a Bessel beam produced with a conical mirror, paying particular attention to its superluminal and diffraction-free properties. We spatially characterized the beam in the radial and on-axis dimensions, and verified…

Optics · Physics 2015-08-28 K. B. Kuntz , B. Braverman , S. H. Youn , M. Lobino , E. M. Pessina , A. I. Lvovsky

Soft electro-active (SEA) materials can be designed and manufactured with gradients in their material properties, to modify and potentially improve their mechanical response in service. Here, we investigate the nonlinear response of, and…

Soft Condensed Matter · Physics 2020-12-08 Bin Wu , Michel Destrade , Weiqiu Chen

Recently, the use of Bessel beams in evaluating the possibility of using them for a new generation of GPR (ground penetrating radar) systems has been considered. Therefore, an analysis of the propagation of Bessel beam in conducting media…

Optics · Physics 2010-08-20 D. Mugnai

Propagation of elastic waves along the axis of cylindrical shells is of great current interest due to their ubiquitous presence and technological importance. Geometric imperfections and spatial variations of properties are inevitable in…

Classical Physics · Physics 2022-11-07 Kevin Jose , Neil Ferguson , Atul Bhaskar

We report on a new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam. We consider in particular the case in which the angular spectrum of such…

Optics · Physics 2023-07-19 Marco Ornigotti , Andrea Aiello

We analyze planar electromagnetic waves confined by a slab waveguide formed by two perfect electrical conductors. Remarkably, 2D Maxwell equations describing transverse electromagnetic modes in such waveguides are exactly mapped onto…

Classical Physics · Physics 2020-07-22 Daniel Leykam , Konstantin Y. Bliokh , Franco Nori

When an optical pulse is spatially localized in a highly multimoded waveguide, its energy is typically distributed among a multiplicity of modes, thus giving rise to a speckled transverse spatial profile that undergoes erratic changes with…

The propagation of electromagnetic waves in helical media with spatial dispersion is investigated. The general form of the permittivity tensor with spatial dispersion obeying the helical symmetry is derived. Its particular form describing…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 P. O. Kazinski , P. S. Korolev

A phenomenological method is developed to consider elastic guided wave propagation in complex curved waveguides. The theory on guided wave propagation in hollow circular cylinders is used in order to verify the method. The results are…

Classical Physics · Physics 2012-09-03 E. Khajeh , L. Breon , J. L. Rose

The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable, see…

Mathematical Physics · Physics 2019-11-01 Kira V. Khmelnytskaya , Vladislav V. Kravchenko , Sergii M. Torba

The wave propagation of edge modes in a superlattice of 2D electron Gases in quantum Hall regime is investigated. After introducing surfaces charge and current densities at the edge, the Maxwell equations are solved for waves running along…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pavel Fileviez Perez , Alejandro Cabo Montes de Oca , Carlos Rodriguez Castellanos

The evaluation of vector wave fields can be accurately performed by means of diffraction integrals, differential equations and also series expansions. In this paper, a Bessel series expansion which basis relies on the exact solution of the…

Optics · Physics 2018-03-14 Mahin Naserpour , Carlos J. Zapata-Rodriguez

We solve the problem of ultrashort pulse propagation in a two-level medium beyond the rotating-wave (RWA) and slowly-varying-envelope approximations. The method of solution is based on the Maxwell--Bloch equations represented in the form…

Optics · Physics 2013-01-01 Denis Novitsky

We find exact solutions describing bidirectional pulses propagating in fiber Bragg gratings. They are derived by solving the coupled-mode theory equations and are expressed in terms of products of modified Bessel functions with algebraic…

When an optical pulse is focused into a multimode waveguide or fiber, the energy is divided among the available guided modes. Consequently, the initially localized intensity spreads transversely, the spatial profile undergoes rapid…

Optics · Physics 2023-06-07 Abbas Shiri , Kenneth L. Schepler , Ayman F. Abouraddy

We present a method for the realization of radially and azimuthally polarized nonparaxial Bessel beams in a rigorous but simple manner. This result is achieved by using the concept of Hertz vector potential to generate exact vector…

Optics · Physics 2016-12-21 Marco Ornigotti , Andrea Aiello

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

Optics · Physics 2024-04-16 Mingjie Li , S. A. R. Horsley

Optical beams with certain asymmetric profiles, such as the Airy beam, can depart from rectilinear propagation and instead travel along curved (typically parabolic) trajectories. Here we show that sculpting the spatiotemporal spectrum of…

Optics · Physics 2025-09-03 Layton A. Hall , Ayman F. Abouraddy

We have considered an expansion of solutions of the non-linear equations for both longitudinal and transverse waves in collisionless Maxwellian plasma in series of non-damping overtones of the field E(x,t) and electron velocity distribution…

Plasma Physics · Physics 2014-11-13 V. N. Soshnikov