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We generalize the well-known method of generating nondiffracting beams based on axicons by allowing phase modulations with azimuthal dependencies. This generalization includes the description of Bessel-like beams of zero order, higher…

Optics · Physics 2019-11-11 Keyou Chen , Michael Jenne , Daniel Günther Grossmann , Daniel Flamm

In this paper, an analytical theory for the diffraction of a Bessel beam of arbitrary order $J_l(\kappa r)$ on a 2D amplitude grating is presented. The diffraction pattern in the main and fractional Talbot planes under certain conditions is…

Optics · Physics 2020-06-24 I. A. Kotelnikov , O. E. Kameshkov , B. A. Knyazev

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle--like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical…

Optics · Physics 2022-06-28 Finn Buldt , Pascal Bassène , Moussa N'Gom

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…

In this paper we present a theoretical analysis of an experiment by Mugnai and collaborators where superluminal behavior was observed in the propagation of microwaves. We suggest that what was observed can be well approximated by the motion…

General Physics · Physics 2009-11-06 W. A. Rodrigues , Dario S. Thober , Ademir L. Xavier

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

We investigate light propagation through materials with periodically modulated gain/loss profile in both transverse and longitudinal directions, i.e. in material with two-dimensional modulation in space. We predict effects of…

Optics · Physics 2008-11-27 K. Staliunas , R. Herrero , R. Vilaseca

Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and frame measures for a given finite measure on $\br^d$, as extensions of the notions of Bessel and frame spectra that correspond to bases of…

Functional Analysis · Mathematics 2012-04-03 Dorin Ervin Dutkay , Deguang Han , Eric Weber

Spatially accelerating beams that are solutions to the Maxwell equations may propagate along incomplete circular trajectories, after which diffraction broadening takes over and the beams spread out. Taking these truncated Bessel wave fields…

Optics · Physics 2015-06-18 Carlos J. Zapata-Rodriguez , Mahin Naserpour

We analyse the temporal properties of the optical pulse wave that is obtained by applying a set of spectral $\pi/2$ phase shifts to continuous-wave light that is phase-modulated by a temporal sinusoidal wave. We develop an analytical model…

Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering…

Optics · Physics 2022-09-15 Stefania A. Glukhova , Maxim A. Yurkin

We present a simple precision-method to quickly and accurately measure the diameters of Gaussian beams, Airy spots, and central peak of Bessel beams ranging from the sub-millimeter to many centimeters without specialized equipment. Simply…

We consider pulse propagation through a two component composite medium (metal inclusions in a dielectric host) with or without cavity mirrors. We show that a very thin slab of such a medium, under conditions of localized plasmon resonance,…

Optics · Physics 2009-11-13 M. Kulkarni , N. Seshadri , V. S. C. Manga Rao , S. Dutta Gupta

Based on boundary condition and dispersion relation, the superluminal group velocity in an anisotropic metamaterial (AMM) is investigated. The superluminal propagation is induced by the hyperbolic dispersion relation associated with the…

Optics · Physics 2007-05-23 Hailu Luo , Wei Hu , Weixing Shu , Fei Li , Zhongzhou Ren

In this work, the experimental optical generation of the fractional Hankel-Bessel vortex beams were investigated through the holographic technique by means of computer generated holograms (CGHs) and reproduced in a spatial light modulator…

The cloaking efficiency of a finite-size cylindrical transmission-line cloak operating in the X-band is verified with bistatic free space measurements. The cloak is designed and optimized with numerical full-wave simulations. The reduction…

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

Using SEA TADPOLE with micrometer-range spatial and femtosecond-range temporal resolution, we report the first direct spatiotemporal measurements of ultrashort Bessel-X pulses. We demonstrate their propagation invariance and superluminal…

Optics · Physics 2015-05-13 P. Bowlan , R. Trebino , H. Valtna-Lukner , M. Lohmus , P. Piksarv , P. Saari

Transverse mode-locked (TML) beams exhibit high-speed beam scanning, which motivates a comparison with established beam deflection technologies, such as galvanometer and voice coil scanners. This study explores the hypothesis that TML beams…

Optics · Physics 2025-06-27 Michael Zwilich , Jan Wichmann , Carsten Fallnich

A metamaterial hyperlens offers a unique solution to overcome the diffraction limit by transforming evanescent waves responsible for imaging subwavelength features of an object into propagating waves. However, the first realizations of…

Optics · Physics 2019-06-26 Jingbo Sun , Mikhail I. Shalaev , Natalia M. Litchinitser