Vector Analyses of Nondiffracting Bessel Beams

Dou, Yan-Zhong Yu and Wen-Bin

doi:10.2528/pierl08110906

Cited by 35 publications

(15 citation statements)

References 30 publications

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“…As a first illustration we consider a transversal electric (TE) Bessel beam [40,77] propagating along OZ in air, with a vortex of topological charge l, whose electric and magnetic vectors are 0);…”

Section: Example 1: Incident Bessel Beammentioning

confidence: 99%

Optical torque: Electromagnetic spin and orbital-angular-momentum conservation laws and their significance

Nieto‐Vesperinas

2015

Phys. Rev. A

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The physics involved in the fundamental conservation equations of the spin and orbital angular momenta leads to new laws and phenomena that are disclosed here. To this end, we analyse the scattering of an electromagnetic wavefield by the canonical system constituted by a small particle, which is assumed dipolar in the wide sense. Specifically, under quite general conditions these laws lead to understanding the contribution and weight of each of those angular momenta to the electromagnetic torque exerted by the field on the object, which is shown to consist of an extinction and a scattering, or recoil, part. This leads to an interpretation of its effect different to that taken up till now by many theoretical and experimental works, and implies that a part of the recoil torque cancels the usually called intrinsic torque which was often considered responsible of the particle spinning. In addition, we obtain the contribution of the spatial structure of the wave to this torque, unknown to this date, showing its effect in the orbiting of the object, and demonstrating that it often leads to a negative torque on a single particle, i.e. opposite to the incident helicity, producing an orbital motion contrary to its spinning. Furthermore, we establish a decomposition of the electromagnetic torque into conservative and non-conservative components in which the helicity and the spin angular momentum play a role analogous to the energy and its flux for electromagnetic forces. These phenomena are illustrated with examples of beams, also showing the difficulties of some paraxial formulations whose fields do not hold the transversality condition.

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Section: Example 1: Incident Bessel Beammentioning

confidence: 99%

Optical torque: Electromagnetic spin and orbital-angular-momentum conservation laws and their significance

Nieto‐Vesperinas

2015

Phys. Rev. A

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“…Since Durnin's work on Bessel beams in 1987 [1,2], many studies about nondiffracting beams in optical domain have been done [3][4][5]. Most of the published works consider basic Bessel, Bessel-Gauss, and Gaussian beams [6][7][8].…”

Section: Introductionmentioning

confidence: 98%

Generation of Mathieu Beams in Millimeter Wave Band using Diffractive Elements

Meng

Dou

Zhang

2011

Journal of Electromagnetic Waves and Applications

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The nondiffracting Mathieu beams have highly localized distribution along the angular direction and sharply peak quasiperiodic structure along the radial direction.The beams can propagate a long distance without changing their transverse intensity distribution. The dielectric diffractive elements, which can convert plane wave and Gaussian beam to nondiffracting Mathieu beams at millimeter wavelength, are designed. The transverse intensity patterns of Mathieu beam generated by the proposed diffractive elements are in good agreements with the theoretical distributions, and the propagation distance of generated Mathieu beam is larger than the Gaussian beam.

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“…Freely propagating diffractionless beams of electromagnetic radiation have been studied in many papers, [12][13][14] taking into account their vector character; however, these studies virtually ignored their formation by means of diffraction axicons. Article 11 is one of the first papers that investigated the generation of Bessel beams using binary phase axicons in the framework of electromagnetic theory.…”

Section: Introductionmentioning

confidence: 99%

Diffraction at binary microaxicons in the near field

et al. 2012

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This paper discusses the formation of the central light spot by means of a binary diffraction axicon with high numerical aperture, using a difference method of solving Maxwell's equations in the temporal region. It is shown that the broadening of the central light spot that unavoidably appears when the beam that illuminates the axicon is linearly polarized can be compensated by introducing a linear phase singularity (perpendicular to the polarization direction) into the beam. A very compact, weakly broadened light spot whose size in the immediate vicinity of the surface of the optical element is 37% less than the diffraction limit can be formed in this case by varying the substrate thickness.

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Vector Analyses of Nondiffracting Bessel Beams

Cited by 35 publications

References 30 publications

Optical torque: Electromagnetic spin and orbital-angular-momentum conservation laws and their significance

Optical torque: Electromagnetic spin and orbital-angular-momentum conservation laws and their significance

Generation of Mathieu Beams in Millimeter Wave Band using Diffractive Elements

Diffraction at binary microaxicons in the near field

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