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

Habibi, Foruzan; Moradi, Mohammad

doi:10.1088/2040-8986/ac4e5e

Cited by 5 publications

(7 citation statements)

References 36 publications

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“…The location of the vortex is shown with green lines in phase diagrams (4-d, e, f). Now, we investigate the propagation of beams under the FrFT using equation (6). Figure 5 shows the propagation of cosh-Mainardi beams with an optical vortex under FrFT.…”

Section: Resultsmentioning

confidence: 99%

“…j p = In this case, A and D in equation (4) equal to 0 because sinj = 1 and cosj = 0. So, the parameter A is equal to 0 in equation (6) and the intensity value becomes infinite and the effective size cannot be calculated. This result can be considered as the limit between FT and FrFT optical systems.…”

Section: Resultsmentioning

confidence: 99%

“…The AiBs(AiBs) have attracted a great deal of attention, because of high potential in different issues such as optical manipulation, filament propagation, lasers, and nonlinear optics [1][2][3][4][5][6]. AiB characteristics such as self-accelerating, self-healing, and self-focusing studied [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Comparison of Mainardi, cos-Mainardi and cosh-Mainardi beams with and without optical vortex in FT and FrFT systems

Habibi¹,

Moradi²

2022

Phys. Scr.

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In this paper, we investigated the propagation of the Mainardi, cos-Mainardi and cosh-Mainardi beams under the Fractional Fourier transforms (FrFT) and Fourier transforms (FT). The results show that with the change of b, q, p, and z, which are the hyperbolic parameter, the fractional order of Mittag-Leffler function, the fractional Fourier transform order, and the distance propagation, respectively, the properties of the Mainardi beam with and without optical vortex can be controlled. The results show that with changing b and q parameters, the beam size, number, width and direction of the beam changes. These results can be useful in signal processing and beam manipulation. Mainardi beam similar to AiB holds promise for wide applications because of its unique features of being diffraction-free, self-accelerating, and self-healing.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Comparison of Mainardi, cos-Mainardi and cosh-Mainardi beams with and without optical vortex in FT and FrFT systems

Habibi¹,

Moradi²

2022

Phys. Scr.

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“…The connection between an Airy beam and a classical beam can be realized by the optical Airy transformation [18]. Beam shaping based on the optical Airy transform is an important part of light field regulation, which plays a key role in many fields, such as optical tweezers [19][20][21], optical communication [22][23][24], and nonlinear optics [25][26][27][28][29]. The beam shaping based on the Airy transformation involves the joint regulation of the polarization state, phase structure, amplitude and other parameters of the incident light field, which makes the structured light field get more novel properties.…”

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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“…Optical vortices (OVs) are actively studied nowadays [1][2][3][4][5]. For example, in [1], the authors numerically simulated generation of an OV at near infrared wavelengths from an amorphous silicon photonic crystal slab.…”

Section: Introductionmentioning

confidence: 99%

Geometric Progression of Optical Vortices

et al. 2022

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We study coaxial superpositions of Gaussian optical vortices described by a geometric progression. The topological charge (TC) is obtained for all variants of such superpositions. The TC can be either integer or half-integer in the initial plane. However, it always remains integer when the light field propagates in free space. In the general case, the geometric progression of optical vortices (GPOV) has three integer parameters and one real parameter, values which define its TC. The GPOV does not conserve its intensity structure during propagation in free space. However, the beam can have the intensity lobes whose number is equal to one of the family parameters. If the real GPOV parameter is equal to one, then all angular harmonics in the superposition are of the same energy. In this case, the TC of the superposition is equal to the order of the average angular harmonic in the progression. Thus, if the first angular harmonic in the progression has the TC of k and the last harmonic has the TC of n, then the TC of the entire superposition in the initial plane is equal to (n + k)/2, but the TC is equal to n during propagation. The experimental results on generating of the GPOVs by a spatial light modulator are in a good agreement with the simulation results.

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

Cited by 5 publications

References 36 publications

Comparison of Mainardi, cos-Mainardi and cosh-Mainardi beams with and without optical vortex in FT and FrFT systems

Comparison of Mainardi, cos-Mainardi and cosh-Mainardi beams with and without optical vortex in FT and FrFT systems

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

Geometric Progression of Optical Vortices

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