Optical images rotation and reflection with engineered orbital angular momentum spectrum

Li, Fangshu; Xu, T.; Zhang, Wuhong; Qiu, Xiaodong; Lu, Xiancong; Chen, Lixiang

doi:10.1063/1.5043229

Cited by 25 publications

(10 citation statements)

References 26 publications

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“…The azimuthal index l of an LG mode is associated with the orbital angular momentum of light [12], which has been widely investigated in optical communications [13,14], gravitational-wave detection [15], and nonlinear and quantum optics [16,17]. Based on the rotational Doppler effect, i.e., the Doppler frequency shift from a spinning object being proportional to l [18][19][20][21][22][23][24][25], one can have the distribution of l index [23,25]. The l spectrum reflects the azimuthal structure of the object, which can be used to measure the rotary speed [20,23], azimuthal angle [26] and azimuthal symmetry [4,5,22,23,26,27].…”

Section: ( )mentioning

confidence: 99%

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Laguerre-Gaussian transform for rotating image processing

Wei¹,

Ma²,

Wang³

et al. 2020

Opt. Express

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Rotation is a common motional form in nature, existing from atoms and molecules, industrial turbines to astronomical objects. However, it still lacks an efficient and reliable method for real-time image processing of a fast-rotating object. Since the Fourier spectrum of a rotating object changes rapidly, the traditional Fourier transform (FT) techniques become extremely complicated and time consuming. Here, we propose a Laguerre-Gaussian (LG) transform to analyze the rotating object with LG-mode 5-7 basis. The rotation operation provides a feasible way to acquire LG spectrum, which is similar to the function of lens in FT. Particularly, the obtained LG spectrum does not change even the object working at a high rotating speed. By analyzing the LG spectrum, one can perform image processing such as reconstruction, edge enhancement, and pattern replication. Such LG transform provides an efficient and convenient way to real-time monitor and analyze a fast-rotating object in scientific research and industry.FT decomposes a temporal signal into its constituent frequencies. Because many linear operations including differentiation and convolution are much easier to perform in the frequency domain, FT has been widely applied in analysis of differential equations, FT spectroscopy, and signal processing [1]. In Fourier optics, FT from an optical pattern to its spatial frequency components can be readily achieved by using an optical lens [2]. Based on such optical FT, powerful tools, such as image reconstruction, edge recognition, spatial filtering, computer generated hologram, and image compression [3], have been developed for image processing schemes. However, in real-time monitoring of a rotating object (such as a biological molecule, industrial centrifuge and turbine, and an astronomical object), the typical optical FT techniques wouldn't work as efficiently as usual. Since its Fourier spatial frequency spectrum is changing along with the rotating object, FT-based image processing schemes become complicated and time consuming. In this Article, we propose and experimentally demonstrate to use a Laguerre-Gaussian (LG) transform of a rotating object to overcome this problem. The obtained LG spectrum does not vary with the rotation, which provides great convenience and a nature way for further image processing of a fast-rotating object.

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Section: ( )mentioning

confidence: 99%

“…where , pl A is the complex LG spectrum of ( ) generally varies with radius r in a complex image. When the object rotates at an angular frequency  , each LG component has a frequency shift l according to the rotational Doppler effect [18][19][20][21][22][23][24][25]. Then, the rotating field can be written as…”

Section: ( )mentioning

confidence: 99%

Laguerre-Gaussian transform for rotating image processing

Wei¹,

Ma²,

Wang³

et al. 2020

Opt. Express

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“…Among them, the 3-5 micron band corresponds to one of the atmospheric communication windows, which is of potential importance in remote sensing [11] and communication fields [12,13]. On the other hand, light that carries orbital angular momentum (OAM) has stimulated considerable research interest in both classical and quantum optical domains [14][15][16][17][18][19][20][21]. This particular beam with an azimuthal phase   exp il is well-known as owning an exact OAM of l per photon [22], where l and  refer to the topological charge (TC) and azimuthal angle respectively.…”

Section: Introductionmentioning

confidence: 99%

Up-conversion detection of mid-infrared light carrying orbital angular momentum

Ge¹,

Chen²,

Li³

et al. 2022

Chinese Phys. B

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Frequency up-conversion is an effective method of mid-infrared (MIR) detection by converting the long-wavelength photons to the visible domain, where efficient detectors are readily available. Here, we generate the MIR light carrying orbital angular momentum (OAM) from a difference frequency generation process and perform the up-conversion of it via sum frequency conversion in a bulk quasi-phase-matching crystal. The maximum quantum conversion efficiencies from MIR to visible are 34.0%, 10.4%, and 3.5% for light with topological charges of 0, 1, and 2, respectively, which is achieved by utilizing an optimized strong pump light. We also verify the OAM conservation with a specially designed interferometer, and the results agree well with the numerical simulations. Our study opens up the possibilities for generating, manipulating, and detecting MIR light that carries OAM, and will have great potential for optical communications and remote sensing in the MIR regime.

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“…In the past 20 years, researchers have proposed many methods to generate OAM beams, for instance spiral phase plates [7], computer-generated holograms [8], Q-plate [9], metasurface [10][11][12][13], coordinate transformation [14] and spiral pinhole plates [15][16]. The OAM beams made by the above methods are simple to manipulate a single OAM mode or simple superposition of several OAM modes, while, the OAM-based applications are not limited to a single mode in some occasions [17][18][19]. In 2019, Yang et al [20] proposed a binary mask to generate photonic gears with a superposition of two OAM modes with opposite sign.…”

Section: Introductionmentioning

confidence: 99%

Bright Ring Lattice Generated by Nesting Spiral-Pinhole-Arrays Plate

Liu

2021

Preprint

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A nesting spiral-pinhole-arrays plate (NSP) is designed to produce bright ring lattice (BRL) formed by the superposition of two different orbital angular momentum (OAM) modes. The OAM modes of the BRL can be manipulated by the propagation distance and the spiral arrays of the NSP. We have studied the influences of rotating NSP on the BRL, and found that the rotational angle and direction of the BRL are not consistent with the results of the NSP.

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Optical images rotation and reflection with engineered orbital angular momentum spectrum

Cited by 25 publications

References 26 publications

Laguerre-Gaussian transform for rotating image processing

Laguerre-Gaussian transform for rotating image processing

Up-conversion detection of mid-infrared light carrying orbital angular momentum

Bright Ring Lattice Generated by Nesting Spiral-Pinhole-Arrays Plate

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