Bessel-like optical beams with arbitrary trajectories

Chremmos, Ioannis; Chen, Zhigang; Christodoulides, Demetrios N.; Efremidis, Nikolaos K.

doi:10.1364/ol.37.005003

Cited by 126 publications

(86 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Thanks to the fact that we use Bessel beams as basis to create these new fields, they will also possess the typical characteristics of Bessel beams, such as self healing and diffractionless propagation. They could also be used, as it has been recently proposed [28], to generate accelerating beams of arbitrary trajectories. All these features, combined with the complex cylindrical polarization patterns introduced here, may lead to new possible developments in timely research fields such as strongly focused light or to investigate the role of complex polarization patterns in light-atom scattering problems [29].…”

Section: Introductionmentioning

confidence: 99%

Radially and azimuthally polarized nonparaxial Bessel beams made simple

Ornigotti¹,

Aiello²

2013

Opt. Express

View full text Add to dashboard Cite

Abstract: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 solutions of Maxwell's equations from scalar Bessel beams. The scalar part of the Hertz potential is built by analogy with the paraxial case as a linear combination of Bessel beams carrying a unit of orbital angular momentum. In this way we are able to obtain spatial and polarization patterns analogous to the ones exhibited by the standard cylindrically polarized paraxial beams. Applications of these beams are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Radially and azimuthally polarized nonparaxial Bessel beams made simple

Ornigotti¹,

Aiello²

2013

Opt. Express

View full text Add to dashboard Cite

show abstract

“…Several issues are still to be addressed in future works, such as the (non-trivial) extention to 3D radiation from dipole arrays, the efficient design under mutual inter-element coupling, the simultaneous optimization of the far-field pattern and the extreme beam bending at non-paraxial angles, which is already attracting attention in the optics field [25,26,27]. Emerging ideas for accelerating optical beams with symmetric Bessel-like profiles [28,29] can also be explored in the RF domain. Accelerating beams have so far been studied only within the domain of optics.…”

Section: Resultsmentioning

confidence: 99%

Accelerating and Abruptly-Autofocusing Beam Waves in the Fresnel Zone of Antenna Arrays

Chremmos

Fikioris

Efremidis

2013

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

We introduce the concept of spatially accelerating (curved) beam waves in the Fresnel region of properly designed antenna arrays. These are transversely localized EM waves that propagate in free space in a diffraction-resisting manner, while at the same time laterally shifting their amplitude pattern along a curved trajectory. The proposed beams are the radiowave analogue of Airy and related accelerating optical waves, which, in contrast to their optical counterparts, are produced by the interference of discrete radiating elements rather than by the evolution of a continuous wavefront. Two dyadic array configurations are proposed comprising 2D line antennas: linear phased arrays with a power-law phase variation and curved power-law arrays with in-phase radiating elements. Through analysis and numerical simulations, the formation of broadside accelerating beams with power-law trajectories is studied versus the array parameters. Furthermore, the abrupt autofocusing effect, that occurs when beams of this kind interfere with opposite acceleration, is investigated. The concept and the related antenna setups can be of use in radar and wireless communications applications.

show abstract

“…These Bessel-like beams inherit from standard ones the properties of diffractionless propagation and self-healing in addition to propagating along arbitrary trajectories. As examples, we have demonstrated parabolic, snake-like, hyperbolic as well as 3D spiraling trajectories [28,29]. Figure 2 presents an example of the Bessel-like beam following the parabolic trajectory (ðf ðZÞ; gðzÞÞ ¼ ðZ 2 =40; 0Þ).…”

Section: Self-accelerating Bessel-like Beams Along Smooth Trajectoriesmentioning

confidence: 96%

“…The radius and the location of the center of this circle are determined by the formulas derived in Refs. [28,29]. The center in particular is the point at which the tangent of the trajectory at (f(Z), g(Z), Z) intersects the input plane.…”

Section: Paraxial Accelerating Beamsmentioning

confidence: 99%

“…These beams are formed by a different ray structure, named conical-interference ray structure, which sets them clearly apart from the optical caustic beams. Quite recently, we proposed and demonstrated the selfaccelerating Bessel-like beams with arbitrary trajectories [28,29]. Using the concept of conical superposition, angular momentum can also be loaded onto such beams resulting in accelerating vortex Bessel-like beams [30,31].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation