Toric lens analysis as a focal ring and Bessel beam generator

Quémener, Mireille; Guénette, Jason; Borne, Jeck; Thibault, Simon

doi:10.1364/josaa.402378

Cited by 4 publications

(3 citation statements)

References 21 publications

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“…Such beams are used for optical capture and manipulation of microparticles [ 124 ], for free-space-optical communication [ 125 , 126 ], for high-resolution plasmonic structured illumination microscopy [ 127 ] in the study of noncollinear interaction of photons having orbital angular momentum (OAM) in the spontaneous parametric down-conversion process [ 128 ], as well as for the generation and detection of optical vortices outside the focal plane [ 129 ]. In the vector case, or when high-aperture optical elements are used (for example, a toroidal lens [ 130 , 131 ] may be used instead of an axicon-lens doublet), additional effects arise associated with both polarization transformations and redistribution of the 3D structure of the field intensity [ 132 , 133 , 134 , 135 , 136 , 137 , 138 ].…”

Section: Refractive and Diffractive Axiconsmentioning

confidence: 99%

Modern Types of Axicons: New Functions and Applications

Хонина

Kazanskiy

Khorin

et al. 2021

Sensors

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Axicon is a versatile optical element for forming a zero-order Bessel beam, including high-power laser radiation schemes. Nevertheless, it has drawbacks such as the produced beam’s parameters being dependent on a particular element, the output beam’s intensity distribution being dependent on the quality of element manufacturing, and uneven axial intensity distribution. To address these issues, extensive research has been undertaken to develop nondiffracting beams using a variety of advanced techniques. We looked at four different and special approaches for creating nondiffracting beams in this article. Diffractive axicons, meta-axicons-flat optics, spatial light modulators, and photonic integrated circuit-based axicons are among these approaches. Lately, there has been noteworthy curiosity in reducing the thickness and weight of axicons by exploiting diffraction. Meta-axicons, which are ultrathin flat optical elements made up of metasurfaces built up of arrays of subwavelength optical antennas, are one way to address such needs. In addition, when compared to their traditional refractive and diffractive equivalents, meta-axicons have a number of distinguishing advantages, including aberration correction, active tunability, and semi-transparency. This paper is not intended to be a critique of any method. We have outlined the most recent advancements in this field and let readers determine which approach best meets their needs based on the ease of fabrication and utilization. Moreover, one section is devoted to applications of axicons utilized as sensors of optical properties of devices and elements as well as singular beams states and wavefront features.

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Section: Refractive and Diffractive Axiconsmentioning

confidence: 99%

Modern Types of Axicons: New Functions and Applications

Хонина

Kazanskiy

Khorin

et al. 2021

Sensors

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“…A common property of classical diffraction-free beams is the concentration of the spatial spectrum on a narrow ring 19 . This fact is used for the optical formation of such beams using a conventional lens, as well as a toric lens [20][21][22] . There are also beams, the spectrum of which differs significantly from a narrow ring, but they have properties close to diffractionfree beams.…”

Section: Introductionmentioning

confidence: 99%

Calculation of a diffraction-free beam with the given transverse intensity distribution using an iterative algorithm

Khorin,

Volotovsky

2023

Optical Technologies for Telecommunications 2022

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It is proposed to use an iterative algorithm based on a ring spectrum and a lens to calculate a diffraction-free beam with a given transverse intensity distribution. In this work, we calculated and studied diffractive optical elements (DOEs) that form some primitive non-diffraction distributions (for example, a square and a triangle, as well as more complex grayscale distributions). It is shown that the iterative algorithm is stagnating, i.e. the number of iterations is directly related to the root mean square error. The mean square deviation of the formed transverse intensity distribution from the given primitive does not exceed 0.006 for a triangle primitive, 0.015 for a square primitive, and 0.07 for a high-contrast halftone image.

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“…However, in some cases, additional coding of the calculated complex amplitudes into a phase-only mask may be required [ 25 , 26 ]. Another simple method of energetically efficient formation of various diffraction-free beams is based on a partial diaphragm of the annular light distribution [ 27 , 28 ], formed, for example, by a tandem of an axicon and a lens [ 29 , 30 ], or a toroidal lens [ 31 , 32 ].…”

Section: Introductionmentioning

confidence: 99%

Composite Diffraction-Free Beam Formation Based on Iteratively Calculated Primitives

2023

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To form a diffraction-free beam with a complex structure, we propose to use a set of primitives calculated iteratively for the ring spatial spectrum. We also optimized the complex transmission function of the diffractive optical elements (DOEs), which form some primitive diffraction-free distributions (for example, a square or/and a triangle). The superposition of such DOEs supplemented with deflecting phases (a multi-order optical element) provides to generate a diffraction-free beam with a more complex transverse intensity distribution corresponding to the composition of these primitives. The proposed approach has two advantages. The first is the rapid (for the first few iterations) achievements of an acceptable error in the calculation of an optical element that forms a primitive distribution compared to a complex one. The second advantage is the convenience of reconfiguration. Since a complex distribution is assembled from primitive parts, it can be reconfigured quickly or dynamically by using a spatial light modulator (SLM) by moving and rotating these components. Numerical results were confirmed experimentally.

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Toric lens analysis as a focal ring and Bessel beam generator

Cited by 4 publications

References 21 publications

Modern Types of Axicons: New Functions and Applications

Modern Types of Axicons: New Functions and Applications

Calculation of a diffraction-free beam with the given transverse intensity distribution using an iterative algorithm

Composite Diffraction-Free Beam Formation Based on Iteratively Calculated Primitives

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