Introduction of a new vortex cosine-hyperbolic-Gaussian beam and the study of its propagation properties in fractional Fourier transform optical system

Hricha, Z.; Yaalou, M.; Belafhal, A.

doi:10.1007/s11082-020-02408-3

Cited by 47 publications

(24 citation statements)

References 38 publications

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“…In the rectangular coordinates system, a vChGB propagating along the z-axis in the source plane z=0 can be expressed as [28]…”

Section: Propagation Characteristics Of a Vchgb In Turbulent Atmospherementioning

confidence: 99%

“…The extended form of the hollow vortex Gaussian beam which is called the vortex cosine-hyperbolic Gaussian beam (vChGB) has been introduced very recently in Ref. [28]. In latter paper, it is reported that if the appropriate values of beam parameters, mainly the decentered parameter b, the vChGB can reduce either to the vortex Gaussian beam or may resemble the four-petal Gaussian vortex beam.…”

Section: Introductionmentioning

confidence: 99%

“…In latter paper, it is reported that if the appropriate values of beam parameters, mainly the decentered parameter b, the vChGB can reduce either to the vortex Gaussian beam or may resemble the four-petal Gaussian vortex beam. The spatial characteristics of the vChGB upon propagating in free space, through a FrFT system and in strongly nonlocal nonlinear media have been examined in detail [28][29].…”

Section: Introductionmentioning

confidence: 99%

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Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence

Hricha¹,

Lazrek²,

Yaalou³

et al. 2021

Opt Quant Electron

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In this paper, the propagation properties of a vortex cosh-Gaussian beam (vChGB) in turbulent atmosphere are investigated. Based on the extended Huygens-Fresnel diffraction integral and the Rytov method, the analytical expression for the average intensity of the vChGB propagating in the atmospheric turbulence is derived. The effects of the turbulent strength and the beam parameters on the intensity distribution and the beam spreading are illustrated numerically and analyzed in detail. It is shown that upon propagating, the incident vChGB keeps its initial hollow dark profile within a certain propagation distance, then the field loses gradually its central hole-intensity and transformed into a Gaussian-like beam for large propagation distance. The rising speed of the central peak is demonstrated to be faster when the constant strength turbulence or the wavelength are larger and the Gaussian width is smaller. The obtained results can be beneficial for applications in optical communications and remote sensing.

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“…In the rectangular coordinates system, a vChGB propagating along the z-axis in the source plane z=0 can be expressed as [28]…”

Section: Propagation Characteristics Of a Vchgb In Turbulent Atmospherementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence

Hricha¹,

Lazrek²,

Yaalou³

et al. 2021

Opt Quant Electron

Self Cite

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show abstract

“…The profile of the beam has zero intensity at the center and a spirally wave-front phase which is associated to the orbital angular momentum of light [15][16]. The vHChGB possesses three key parameters, namely the beam orders, the decentered parameter b and the vortex charge number M. By choosing the adequate beam parameters conditions, the beam can be reduced to well-known hollow beams, e.g., the vortex-Gaussian beam [18], vortex Hermite-Gaussian beam [19][20], and vortex-cosh-Gaussian beam [21]. As practical applications, the beam can be used as optical traps for micro-particles or a beam spanner by use of the orbital angular momentum [17].…”

Section: Introductionmentioning

confidence: 99%

Focusing properties and focal shift of vortex Hermite-cosh- Gaussian beams

Hricha

Halba

Belafhal

2021

Preprint

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In this work, we investigate the focusing properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) passing through a converging lens system. The analytical propagation equation as well as the beam width expression of a focused vHChGB is derived based on the Huygens-Fresnel diffraction principle. From the obtained formulae, the effects of the Gaussian Fresnel number NF and the beam parameters on the structure of the light intensity distribution and the beam spot size in the focal region are analyzed numerically. It is shown that the focal shift, which is determined from the minimum beam spot width criterion, is affected strongly by the change of the Fresnel number, the parameter b, and it is slightly altered by the vortex charge M and nearly insensitive to the beam order n. For a fixed value of NF, the focal shift is smaller when the parameter b or the vortex charge M is larger. The focal shift decreases monotonously with the increase of Fresnel number until it vanishes asymptotically for large NF. The obtained results may be useful for the applications of the vHChGBs in beam shaping and beam focusing.

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Section: Introductionmentioning

confidence: 99%

Propagation of Vortex Cosine-hyperbolic-gaussian Beams in Atmospheric Turbulence

Hricha

Lazrek

Yaalou

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper, the propagation properties of a vortex cosh-Gaussian beam (vChGB) in turbulent atmosphere are investigated. Based on the extended Huygens–Fresnel diffraction integral and the Rytov method, the analytical expression for the average intensity of the vChGB propagating in the atmospheric turbulence is derived. The effects of the turbulent strength and the beam parameters on the intensity distribution and the beam spreading are illustrated numerically and analyzed in detail. It is shown that upon propagating, the incident vChGB keeps its initial hollow dark profile within a certain propagation distance, then the field loses gradually its central hole-intensity and transformed into a Gaussian–like beam for large propagation distance. The rising speed of the central peak is demonstrated to be faster when the constant strength turbulence or the wavelength are larger and the Gaussian width is smaller. The obtained results can be beneficial for applications in optical communications and remote sensing.

show abstract

Introduction of a new vortex cosine-hyperbolic-Gaussian beam and the study of its propagation properties in fractional Fourier transform optical system

Cited by 47 publications

References 38 publications

Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence

Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence

Focusing properties and focal shift of vortex Hermite-cosh- Gaussian beams

Propagation of Vortex Cosine-hyperbolic-gaussian Beams in Atmospheric Turbulence

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