Nondiffracting Accelerating Wave Packets of Maxwell’s Equations

Kaminer, Ido; Bekenstein, Rivka; Nemirovsky, Jonathan; Segev, Mordechai

doi:10.1103/physrevlett.108.163901

Cited by 328 publications

(252 citation statements)

References 19 publications

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“…The tendency of the Airy beam to maintain an invariant intensity profile while bending its propagation direction enabled interesting applications such as optical micromanipulation of particles 4,5 , microscopy 6,7 , laser machining of curved structures 8 , generation of curved plasma channels in the air 9 , self-bending electron beams 10 and control of plasmonic surface waves [11][12][13] . The field has taken a substantial step forward when accelerating solutions of the full Maxwell equations were introduced 14 . These beams support bending of light beams to large angles, up to almost 180°, rather than the Airy beam that can only bend up to B10°before breaking the paraxial approximation.…”

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Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

et al. 2014

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Self-accelerating beams-shape-preserving bending beams-are attracting great interest, offering applications in many areas such as particle micromanipulation, microscopy, induction of plasma channels, surface plasmons, laser machining, nonlinear frequency conversion and electron beams. Most of these applications involve light-matter interactions, hence their propagation range is limited by absorption. We propose loss-proof accelerating beams that overcome linear and nonlinear losses. These beams, as analytic solutions of Maxwell's equations with losses, propagate in absorbing media while maintaining their peak intensity. While the power such beams carry decays during propagation, the peak intensity and the structure of their main lobe region are maintained over large distances. We use these beams for manipulation of particles in fluids, steering the particles to steeper angles than ever demonstrated. Such beams offer many additional applications, such as loss-proof selfbending plasmons. In transparent media these beams show exponential intensity growth, which facilitates other novel applications in micromanipulation and ignition of nonlinear processes.

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Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

et al. 2014

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“…Horn and phased arrays are two different approaches to obtain different kinds of radiation patterns. The underlying mechanism is to utilize the interference-for example, the waves emitted from all points on the Airy beam profile-in order to maintain a propagation-invariant Airy structure [1][2][3] . Perhaps the best known example of such an approach is the one used to obtain a Bessel beam pattern 4 .…”

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Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Liu

et al. 2014

Nat Commun

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Radiation pattern control has generated much interest recently due to its potential applications. Here we report the observation of high-efficiency dipole-like radiation of sound with broad bandwidth through a decorated plate with periodical two-dimensional Helmholtz resonators on both sides and a single slit at the centre. The decorated plate was optimally designed to adjust the effective impedance of the boundary, and the underlying mechanism of radiation pattern control is attributed to wave vector tailoring. The high radiation efficiency is due to the Fabry-Perot resonances associated with waveguide modes in the centre slit. The method to obtain a collimated beam without any sidelobes is also provided. Our findings should have an impact on acoustic applications.

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“…An ideal Airy beam propagates non-diffractively with a small bending angle in the paraxial limit, but it tends to break up when bending into a large angle. Furthermore, non-paraxial self-accelerating beams that can bend along circular trajectories were predicted and demonstrated very recently [8][9][10]. Thus far, much of the progress in harnessing self-accelerating beams relied on specific monotonic phase modulations imposed in either real or Fourier space, leading to single-path propagation only [11][12][13][14][15].…”

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Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping

Bongiovanni

Chen

et al. 2013

Phys. Rev. A

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We introduce the concept of spatial spectral phase gradient, and demonstrate, both theoretically and experimentally, how this concept could be employed for generating single-and multi-path self-accelerating beams. In particular, we show that the trajectories of the accelerating beams are determined a priori by different key spatial frequencies through direct spectrum-to-distance mapping. In the non-paraxial regime, our results clearly illustrate the breakup of Airy beams from a different perspective, and demonstrate how circular, elliptic or hyperbolic accelerating beams can be created by judiciously engineering the spectral phase. Furthermore, we found that the accelerating beams still follow the predicted trajectory also for vectorial wavefronts. Our approach not only generalizes the idea of Fourier-space beam engineering along arbitrary convex trajectories, but also offers new possibilities for beam/pulse manipulation not achievable through standard direct real-space approaches or by way of time-domain phase modulation. PACS number(s): 42.25.-p, 03.50.-z

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Nondiffracting Accelerating Wave Packets of Maxwell’s Equations

Cited by 328 publications

References 19 publications

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping

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