Intensity distribution and focal depth of axicon illuminated by Gaussian Schell-model beam

Alkelly, Abdu A.; Shukri, M. A.; Alarify, Y.S.

doi:10.1016/j.optcom.2011.06.030

Cited by 7 publications

(4 citation statements)

References 16 publications

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“…(3) The diffracted field of the PCGSMV beam u(ρ, z) at z distance from the classical axicon in the Huygens-Fresnel (H-F) integral approach is expressed as [19,38]…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…The Gaussian Schell model (GSM) beams are typical types of PC beams that have distinctive features, encompassing transverse intensity and degree of coherence, making them highly applicable in diverse areas, including optical communication and ghost imaging [18]. Alkelly et al conducted a study on the intensity distribution and focal depth of an axicon under illumination using a Gaussian Schell-model beam [19]. Partially coherent GSM beams have undergone thorough theoretical and experimental investigations, and their simple functional expressions make them applicable to different contexts such as free-space optical communication [14], optical scattering [20], and particle trapping [21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Intensity distribution of the partially coherent Gaussian Schell vortex beam diffracted by classical axicon

Kaid,

Al-Nadary,

Qusailah

et al. 2024

jast

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Based on the mathematical framework of the partially coherent Gaussian Schell model vortex (PCGSMV) beam and the Huygens-Fresnel integral, we conducted a study to analyze the intensity distribution and depth of focus (DOF) of the PCGSMV beam as it propagates through a classical axicon. Our numerical results indicate the influence of factors such as the beam width, spatial degree of coherence, topological charge, and axicon base angle on the intensity distribution and DOF. In addition, we investigated the relationship between the beam spot size and propagation distance, as well as the effects of the spatial degree of coherence and propagation distance on the intensity profile. Our findings highlight the importance of the intensity values along the DOF for various applications, including the optical trapping and manipulation of micro-particles.

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“…(3) The diffracted field of the PCGSMV beam u(ρ, z) at z distance from the classical axicon in the Huygens-Fresnel (H-F) integral approach is expressed as [19,38]…”

Section: Theoretical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Intensity distribution of the partially coherent Gaussian Schell vortex beam diffracted by classical axicon

Kaid,

Al-Nadary,

Qusailah

et al. 2024

jast

View full text Add to dashboard Cite

show abstract

“…Recently, the propagation properties of laser beams in axicon have been widely investigated due to their applications such as alignment and metrology, coherence tomography, atom trapping and guiding, optical pumping of plasma, and medical [1,2], so it is considered the most important optical element [3]. e propagation properties of various laser beams through axicon have been illustrated, such as Gaussian beams [4], Laguerre-Gaussian beams [5], Gaussian Schell-model beam [6], and partially coherent flattopped beam [7].…”

Section: Introductionmentioning

confidence: 99%

Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon

Alkelly

Hassan

2021

International Journal of Optics

Self Cite

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The propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. We have derived the intensity equation of a partially coherent Lorentz-Gauss beams propagating through uniform-intensity diffractive axicon, and we proved mathematically that it is the superposition of Bessel beams of various orders after emerging from axicon, using Hermite’s function series and the Bessel function integral formulas. The results show that the intensity distribution of the diffracted beam is the intensity pattern evolved from a Lorentz–Gauss shaped spot into a Gaussian-shaped spot at any position on the focal length of the axicon, and the intensity distribution of a partially Lorentz–Gauss beam generated by an axicon becomes uniform by increasing the beam width and more uniform and constant with the larger coherence width.

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“…Pu et al generated adjustable partially coherent bottle beams by focusing partially coherent light with an axicon-lens system [14,15]. Alkelly et al examined the focal depth of partially coherent fields without aperture [16]. To date, the research on focusing partially coherent fields by an axicon lens has been restricted to Gaussian Schell-model beams.…”

Section: Introductionmentioning

confidence: 99%

Partially Coherent Flat-Topped Beam Generated by an Axicon

et al. 2019

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The intensity distribution of a partially coherent beam with a nonconventional correlation function, named the multi-Gaussian Schell-model (MGSM) beam, focused by an axicon was investigated in detail. Our numerical results showed that an optical needle with a flat-topped spatial profile and long focal depth was formed and that we can modulate the focal shift and focal depth of the optical needle by varying the width of the degree of coherence (DOC) and the parameters of the correlation function. The adjustable optical needle can be applied for electron acceleration, particle trapping, fiber coupling and percussion drilling.

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Intensity distribution and focal depth of axicon illuminated by Gaussian Schell-model beam

Cited by 7 publications

References 16 publications

Intensity distribution of the partially coherent Gaussian Schell vortex beam diffracted by classical axicon

Intensity distribution of the partially coherent Gaussian Schell vortex beam diffracted by classical axicon

Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon

Partially Coherent Flat-Topped Beam Generated by an Axicon

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