A study of nondiffracting Lommel beams propagating in a medium containing spherical scatterers

Belafhal, A.; Ez-zariy, L.; Hricha, Z.

doi:10.1016/j.jqsrt.2016.06.015

Cited by 14 publications

(2 citation statements)

References 22 publications

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“…Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle been extensively investigated in numerous reports [25][26][27][28][29][30]. However, to the best of our knowledge, the near-field scattered properties of non-diffracting beams have not been specifically concerned in any existing literature to date.…”

Section: Laser Physics Lettersmentioning

confidence: 99%

Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle

Chen

Belafhal

et al. 2018

Laser Phys. Lett.

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Within the accuracy of the first-order Born approximation, expressions are derived for the near-zone spectrum of a zero-order Bessel beam scattered from a spherical particle whose correlation function satisfies a Gaussian distribution. The dependence of the spectral shift and spectral switch of the scattered field on the effective size of the scattering potential (ESSP) are determined by numerical simulations. It is shown that the spectral shift of the scattered field does not occur along the longitudinal propagation direction. Furthermore, when the medium’s ESSP is comparable with the central wavelength of the beam, the spectrum of the scattered field loses the Gaussian distribution and exhibits a blue shift as the reference point sufficiently far away from central origin. These results may have prospective applications in guiding tiny particles when the near-zone spectrums of scattered beams are captured and analyzed.

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Section: Laser Physics Lettersmentioning

confidence: 99%

Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle

Chen

Belafhal

et al. 2018

Laser Phys. Lett.

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“…The Lommel beams can be described through a series of Bessel functions of orders n+2p (p=0, 1, 2, K) with cylindrical coordinates as follows [10,11,13,17]:…”

Section: Theorymentioning

confidence: 99%

Virtual source for Lommel–Gauss beams

Chen

Ren

Dong

et al. 2018

J. Opt.

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We introduce a group of virtual sources for generating Lommel–Gauss beams based on beam superposition to analyze nonparaxial propagation. We typically derive the paraxial approximation and integral representations of the nth-order Lommel–Gauss beams. The first three orders of the nonparaxial corrections for the on-axis field of the Lommel–Gauss beams are analytically obtained. The on-axis intensity distribution of the corresponding nonparaxial corrections is also provided.

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Scattering of Lommel beams by homogenous spherical particle in generalized Lorenz–Mie theory

Chafiq¹,

Belafhal

2018

Opt Quant Electron

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A study of nondiffracting Lommel beams propagating in a medium containing spherical scatterers

Cited by 14 publications

References 22 publications

Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle

Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle

Virtual source for Lommel–Gauss beams

Scattering of Lommel beams by homogenous spherical particle in generalized Lorenz–Mie theory

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