Conversion of the hyperbolic-cosine Gaussian beam to a novel Finite Airy-related beam using an optical airy transform system

Ez-zariy, L.; Boufalah, F.; Dalil-Essakali, L.; Belafhal, A.

doi:10.1016/j.ijleo.2018.06.091

Cited by 26 publications

(4 citation statements)

References 44 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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“…These fascinating features in addition to their dynamics in nonlinear media promote their applications in various domains, e.g., optical micro-manipulations (Baumgartl et al 2008), plasma physics (Polynkin et al 2009), optical switching (Ellenbogen et al 2009), optical trapping (Jia et al 2010), optical routing (Rose et al 2013), and so on. During the last decade, several works have been reported on the Airy beams generation (Widder 1979;Jiang et al 2012a, b;Ez-zariy et al 2016Ez-zariy et al , 2018Yaalou et al 2019a, b, c;2020a, b, c;Zhou et al 2020a, b;Li et al 2020). Among them, the Airy Transform Optical System (ATOS) method (Jiang et al 2012a) has been proven to be more convenient and efficient.…”

Section: Introductionmentioning

confidence: 99%

“…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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“…At present, multitudes of scholars have begun to adopt the Airy transformation method to produce Airyrelated beams from certain typical Gaussian beams or superposition of Gaussian beams, including flat topped Gaussian beams [30], hyperbolic cosine Gaussian beams [31], Hermite-Gaussian [32], and Laguerre-Gaussian beams [33]. However, to the best of our current acquaintance, there is few literature about the generation of AGBs from the HGB.…”

Section: Introductionmentioning

confidence: 99%

Model transformation from a hollow Gaussian beam to an Airy Gaussian beam

Zhang¹,

Liu²,

Wang³

2022

Phys. Scr.

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Model transformation from a hollow Gaussian beam (HGB) to an Airy Gaussian beam (AGB) was investigated based on the optical Airy transformation method. The HGB was transformed into a superposition of finite Airy beam via an optical Airy transformation system (OATS). Analytical expression of the AGB was deduced and used to demonstrate the produced AGB’s characteristics. Results showed that the intensity distribution and the number of side lobes of the AGB were determined by the control parameters α and β of the OATS, and the order n of the incident beam. In addition, a hollow Gaussian beam with a certain mode could be obtained by an incidence of an Airy Gaussian beam with a certain modulation parameter through the OATS. Results obtained here indicated that the model transformation between a Gaussian beam and an Airy beam could be realized by the optical Airy transformation method, which method would be valuable in generating of a novel kind of Airy beam and exploiting practical applications of the HGB.

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Conversion of the hyperbolic-cosine Gaussian beam to a novel Finite Airy-related beam using an optical airy transform system

Cited by 26 publications

References 44 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

Model transformation from a hollow Gaussian beam to an Airy Gaussian beam

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