How the tilt of a phase diffraction optical element affects the properties of shaped laser beams matched with a basis of angular harmonics

Almazov, A. A.; Хонина, С. Н.; Kotlyar, V. V.

doi:10.1364/jot.73.000633

Cited by 9 publications

(4 citation statements)

References 13 publications

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“…However, distortions can also have a positive effect. For example, the inclination of the incident beam, the presence of astigmatism, and the use of cylindrical lenses make it possible to visualize the topological charge of the beam [1][2][3][4][5][6] , as well as to identify the polarization state 7,8 . Using astigmatic transformations, vortex beams are formed from non-vortex fields 9,10 .…”

Section: Introductionmentioning

confidence: 99%

Field at sharp focusing of shifted single-ring Laguerre–Gauss modes with circular polarization

Ustinov,

Khonina,

Golub

2023

Optical Technologies for Telecommunications 2022

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The report presents a theoretical and numerical analysis of the sharp focusing of a displaced Laguerre-Gauss single-ring mode with circular polarization based on the Richards-Wolf formulas. Expressions for the amplitude of the field components in the focal plane are obtained, while the case of "+"-polarization is considered in more detail. In addition to the general expression, the formula for intensity along the horizontal axis is given separately. It is more convenient for determining the displacement parameters than tracking them from the intensity pattern. Expressions are given for calculating the displacement value based on the intensity profile of the longitudinal component for large values of the vortex order. It is shown that for explicit asymmetry visualization it is advisable to use modes with a small but non-zero number.

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Section: Introductionmentioning

confidence: 99%

Field at sharp focusing of shifted single-ring Laguerre–Gauss modes with circular polarization

Ustinov,

Khonina,

Golub

2023

Optical Technologies for Telecommunications 2022

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“…The simplest way for an astigmatic transformation is applying a cylindrical or tilted lens [ 39 , 40 , 41 ] as well as a tilted or astigmatic axicon [ 42 , 43 , 44 ]. Inclined/tilted optical elements also insert an astigmatic transformation into generated vortex beams [ 45 , 46 ]. Astigmatic transformations can be implemented using anisotropic crystals [ 47 , 48 , 49 , 50 ].…”

Section: Introductionmentioning

confidence: 99%

“…The magnitude (level) of an astigmatic transformation of abeam depends on various factors, including both the characteristics of optical elements and systems (focal length, tilt angle and degree of anisotropy) [ 39 , 45 , 47 ] and the properties of the beam, including the TC value [ 46 , 55 ]. Therefore, in order to form an astigmatic beam pattern suitable for the clear detection of the TC, an optical tuning (changing the lens tilt and/or the detection distance) is often required.…”

Section: Introductionmentioning

confidence: 99%

Simplifying the Experimental Detection of the Vortex Topological Charge Based on the Simultaneous Astigmatic Transformation of Several Types and Levels in the Same Focal Plane

Khorin

Хонина

Porfirev

et al. 2022

Sensors

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It is known that the astigmatic transformation can be used to analyze the topological charge of a vortex beam, which can be implemented by using various optical methods. In this case, in order to form an astigmatic beam pattern suitable for the clear detection of a topological charge, an optical adjustment is often required (changing the lens tilt and/or the detection distance). In this article, we propose to use multi-channel diffractive optical elements (DOEs) for the simultaneous implementation of the astigmatic transformations of various types and levels. Such multi-channel DOEs make it possible to insert several types of astigmatic aberrations of different levels into the analyzed vortex beam simultaneously, and to form a set of aberration-transformed beam patterns in different diffraction orders in one detection plane. The proposed approach greatly simplifies the analysis of the characteristics of a vortex beam based on measurements in the single plane without additional adjustments. In this article, a detailed study of the effect of various types of astigmatic aberrations based on a numerical simulation and experiments was carried out, which confirmed the effectiveness of the proposed approach.

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“…Methods based on the property of multi-singular optical vortices to deform in the presence of some astigmatic media are particularly relevant to experimental use because of their extreme simplicity. Astigmatic laser beam behavior, propagation, and transformation were studied theoretically and experimentally in some detail for both Bessel modes of light [14], and Laguerre-Gaussian [15,16] ones. The invention of a rather simple Hermite to Gaussian (and vice versa) mode converter exploiting a cylindrical lens to add astigmatism into the beam [17,18] evolved into several techniques which allow experimentalists to measure the topological charge of OVs very easily [19,20].…”

Section: Introductionmentioning

confidence: 99%

Detection of mixed OAM states via vortex breakup

2017

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We study the tilted lens technique for measuring the topological charge (TC) of an optical vortex and investigate how this technique works for optical vortices in mixed orbital angular momentum states (i.e. when one beam contains several components with different values of TC). We present experimental results and theoretical simulations for the measurement of the TC of mixed states. We investigate two different cases: when coherent interference (or addition) between components is present and when it is absent (incoherent addition). We discover that this technique is suitable for measuring the TC of the dominant component of a mixed state.

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How the tilt of a phase diffraction optical element affects the properties of shaped laser beams matched with a basis of angular harmonics

Cited by 9 publications

References 13 publications

Field at sharp focusing of shifted single-ring Laguerre–Gauss modes with circular polarization

Field at sharp focusing of shifted single-ring Laguerre–Gauss modes with circular polarization

Simplifying the Experimental Detection of the Vortex Topological Charge Based on the Simultaneous Astigmatic Transformation of Several Types and Levels in the Same Focal Plane

Detection of mixed OAM states via vortex breakup

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