Propagation properties of finite cosh-Airy beams through an Airy Transform Optical System

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

doi:10.1007/s11082-019-2075-6

Cited by 12 publications

(3 citation statements)

References 29 publications

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“…Figure 1 shows the optical setup of the OAT [27][28][29][30]. The coordinates of input plane and output plane are (x i , y i ) and (x o , y o ), respectively.…”

Section: Theoretical Model Of Oatmentioning

confidence: 99%

Influence of optical Airy transform on non-diffracting propagation distance of finite energy Airy beams

Chu¹,

Liu²,

Wang³

et al. 2021

Optica Applicata

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Finite energy Airy beams (FEAB) generated in laboratory have a short non-diffracting propagation distance (NDPD), which restricts its application in laser communication, laser detection and other fields. Effects of optical Airy transform (OAT) on NDPD of FEAB is analyzed. By comparing the theoretical formulas of the FEAB before and after the OAT, we find that when the transform parameter α of the OAT is larger than zero, the transverse scaling factor of the transformed FEAB is greater than that before the transformation, while the transformed exponential decay factor is smaller than that before the transformation. Using the Huygens–Fresnel diffractive integral, we derive the propagation formula of the transformed FEAB. Initial intensity distribution of FEAB before and after the OAT is compared. Propagation dynamics of the transformed FEAB with different α is numerically simulated and its NDPD is quantitatively evaluated. Results show that: with the increase of α, side lobes of the transformed FEAB increase, its main lobe and side lobes become wider than that before the transformation, and the inclination of the propagation trajectory decreases. When α is greater than half of the transverse scaling factor, the NDPD of the transformed FEAB increases rapidly.

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“…Figure 1 shows the optical setup of the OAT [27][28][29][30]. The coordinates of input plane and output plane are (x i , y i ) and (x o , y o ), respectively.…”

Section: Theoretical Model Of Oatmentioning

confidence: 99%

Influence of optical Airy transform on non-diffracting propagation distance of finite energy Airy beams

Chu¹,

Liu²,

Wang³

et al. 2021

Optica Applicata

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“…The ATOS setup consists of a juxtaposition of two Fourier transform systems separated by a spatial light modulator (SLM) with a cubic phase modulation (Jiang et al 2012a, b). The ATOS has been used to generate the Airy transformation of various of light beams, e.g., the array Gaussian beam (Ez-zariy et al 2016), cosh-Gaussian beam (Ez-zariy et al 2018), double-half inverse Gaussian beam (Yaalou et al 2019a), controllable dark hollow Gaussian beam (Yaalou et al 2019b), cosh-Airy beam (Yaalou et al 2019c), four-petal Gaussian beam (Yaalou et al 2020a), Hermite-cosh-Gaussian beam (Yaalou et al 2020b), Laguerre-Gaussian beam (Zhou et al 2020a), higher-order cosh-Gaussian beam (Yaalou et al 2020c(Yaalou et al , 2023, Lorentz-Gauss beam (Li et al 2020), Hermite-Gaussian and elegant Hermite-Gaussian beams (Zhou et 2020Xu et al 2021;Chu et al 2021). The cited papers have shown that the performance of the generated Airy beams is closely related to the input beam parameters and the control factors of a SLM.…”

Section: Introductionmentioning

confidence: 99%

Transformation of a vortex cosine-hyperbolic-Gaussian beam by an Airy transform optical system

Yaalou¹,

Hricha²,

Belafhal³

2023

Opt Quant Electron

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The present paper investigates the Airy transformation of a vortex cosine-hyperbolic-Gaussian beam (vChGB). The analytical expression for this beam passing through an Airy Transform Optical System is derived in detail based on the Huygens-Fresnel integral. It is demonstrated that the Airy transform vChGB is a superposition of Airy and Airy prime modes.Numerical results show that the output beam is Airy-like with a central vortex, and its intensity distribution can be controlled by adjusting the initial vChGB parameters and control factors of the Airy Transform. The obtained results could be beneficial for the applications of Airy-related beams.

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“…Investigating the propagation of AiB in a strong nonlinear nonlocal medium for its applications in optical switching [26] and optical micromanipulation will potentially be very useful [29]. Among the major laser beams are cosh-AiB and cos-AiB [30,31]. In these beams, by properly adjusting the parameters, the destructive effects caused by the propagation of the beam can be controlled.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of nonlinear behavior of Airy, cos-Airy, and cosh-Airy beams with and without optical vortex

Habibi¹,

Moradi²

2022

J. Opt.

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In this study, we investigated the airy, cos-airy and cosh-airy beam lasers with optical vortex. Then, taking into account the Fourier transform, we examined and compared the propagation of these beams in a strong nonlinear system. The results indicated that by changing the input power p0 and the parameters b and the propagation length, the location of optical vortex displaces. It was shown that nonlinearity is one of the parameters that control optical vortex in optical systems used in these types of lasers. An important property in these beams is their direction variation due to the change in the mentioned parameters, which can be used in applications such as beam switching.

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Propagation properties of finite cosh-Airy beams through an Airy Transform Optical System

Cited by 12 publications

References 29 publications

Influence of optical Airy transform on non-diffracting propagation distance of finite energy Airy beams

Influence of optical Airy transform on non-diffracting propagation distance of finite energy Airy beams

Transformation of a vortex cosine-hyperbolic-Gaussian beam by an Airy transform optical system

Evaluation of nonlinear behavior of Airy, cos-Airy, and cosh-Airy beams with and without optical vortex

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