Far-field diffraction pattern of an optical light beam with orbital angular momentum through of a rectangular and pentagonal aperture

Acevedo, Cristian Hernando; Moreno, Yezid Torres; Guzmán, Angela M.

doi:10.1016/j.ijleo.2018.02.064

Cited by 12 publications

(8 citation statements)

References 29 publications

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“…It is worth mentioning that the input field is a plane wave if all elements in matrix E are 1 [15][16][17]. Finally, one obtains the field on the observation screen by applying the function fft2 on T. * E. To validate the validity of the algorithm, the program is applied to a rectangular window and an annular triangle aperture, the results of which agree well with the computational analysis of previous references [12,13].…”

Section: Discussionsupporting

confidence: 58%

“…As an example, figures 3(a)-(c) show the case for a vortex beam with l = 2 passing through a rectangular aperture [12]. As shown in figure 3(a), the rectangular aperture is a gray-scale image, which can be used to create different amounts of transmission.…”

Section: Computing the Discrete Fourier Transformmentioning

confidence: 99%

“…On the other hand, there are generally two methods that are usually used to measure the OAM. One is based on the interference principle, such as the Mach-Zehnder interferometer with a Dove prism [9], the double-slit interference [10], the other method is related to diffraction theory, that is, probing OAM of an optical vortex according to its diffraction intensity pattern after an aperture, for example, a single slit [11], a rectangular aperture [12], an annular triangle aperture [13] and an annular ellipse aperture [14]. In this paper, we focus on the latter one and aim to design a general program about 30 lines to simulate the Fraunhofer diffraction patterns of a vortex beam through any apertures by the way of algorithms based on Matlab language, since it allows researchers to study problems under different conditions without having to carry out complex experiments to reach an approximate solution.…”

Section: Introductionmentioning

confidence: 99%

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Fraunhofer diffraction simulation of a vortex beam through any apertures

Kun-Rui¹,

Jian-Nan²,

Su³

2021

Eur. J. Phys.

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A general Matlab program is designed to simulate the Fraunhofer diffraction patterns of a vortex beam through any apertures, which are usually used to compare with the experimental results in detecting the topological charge of a vortex beam. Two significant matrices are suggested in the above program: one related to the aperture, the other concerned with the field of vortex beam. Using the fast Fourier transform function provided within the Matlab software itself to process the dot product of the above two matrices, one obtains the field on the observation screen. The program is applied to a rectangular aperture and an annular triangle aperture. The results agree well with the computational analysis of previous references. This paper is to describe how Matlab can be used to perform complex mathematical calculations without bogging down the student with the details of the numerical methods and it may be particularly useful for both upper-level undergraduates and graduate students who engage in the study of topological charge detection and identification.

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Section: Discussionsupporting

confidence: 58%

Section: Computing the Discrete Fourier Transformmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fraunhofer diffraction simulation of a vortex beam through any apertures

Kun-Rui¹,

Jian-Nan²,

Su³

2021

Eur. J. Phys.

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“…Normally, a higher topological charge vortex is unstable [339] and disintegrates into unit charged vortices under perturbation. Diffraction by single [80,340], double [38,319,341], and multiple slits [320] was studied and used for vortex detection. Multiple slits correspond to grating, and special gratings were also designed [263,321,342] for the diffraction study.…”

Section: Literature Survey Of Phase and Polarization Singularitiesmentioning

confidence: 99%

Phase Singularities to Polarization Singularities

Ruchi

Senthilkumaran

Pal

2020

International Journal of Optics

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Polarization singularities are superpositions of orbital angular momentum (OAM) states in orthogonal circular polarization basis. The intrinsic OAM of light beams arises due to the helical wavefronts of phase singularities. In phase singularities, circulating phase gradients and, in polarization singularities, circulating ϕ12 Stokes phase gradients are present. At the phase and polarization singularities, undefined quantities are the phase and ϕ12 Stokes phase, respectively. Conversion of circulating phase gradient into circulating Stokes phase gradient reveals the connection between phase (scalar) and polarization (vector) singularities. We demonstrate this by theoretically and experimentally generating polarization singularities using phase singularities. Furthermore, the relation between scalar fields and Stokes fields and the singularities in each of them is discussed. This paper is written as a tutorial-cum-review-type article keeping in mind the beginners and researchers in other areas, yet many of the concepts are given novel explanations by adopting different approaches from the available literature on this subject.

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“…However, these methods are often involved with a complicated interferometric setup or unexpected complexity in interferometric patterns. For other approaches, the OAM modes of OVs can also be identified by their diffraction patterns through different apertures in the shapes of the single slit [33], annular [34,35], triangular [36][37][38], rectangular or pentagonal [39]. Although all of these apertures have achieved the objective, the OAM modes are not so directly perceived through their diffraction patterns, and the experimental results are often degenerated compared with simulated ones, which will lower their efficiency in practical applications.…”

Section: Introductionmentioning

confidence: 99%

Orbital angular momentum modes identification of optical vortices using binaural circular aperture

Chen¹,

Zhang²,

Liu³

et al. 2019

J. Opt.

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The identification of orbital angular momentum (OAM) modes is crucial in investigating and applying optical vortices (OVs). Here, we propose a novel diffraction device, a binaural circular aperture (BCA), to detect the OAM modes of OVs. The BCA is well designed and composed of a lemniscate and two semicircles. We first investigate the intensity distribution of the OVs passing through the BCA theoretically. The OVs with different OAM modes will produce different diffraction patterns, and the modes can be directly identified from the diffraction fringes. Building this BCA with an amplitude spatial light modulator, the OAM modes ranging from −6 to +6 are experimentally identified, and the results are well consistent with the simulation. When the BCA is resized in the millimetre level, the influence on the identification of OAM modes is very limited. These results show that the BCA we proposed can provide a feasible and effective way to rapidly identify the OAM modes of OVs, and shows its insensitivity to the dimensional deviation.

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Far-field diffraction pattern of an optical light beam with orbital angular momentum through of a rectangular and pentagonal aperture

Cited by 12 publications

References 29 publications

Fraunhofer diffraction simulation of a vortex beam through any apertures

Fraunhofer diffraction simulation of a vortex beam through any apertures

Phase Singularities to Polarization Singularities

Orbital angular momentum modes identification of optical vortices using binaural circular aperture

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