A Hankel transform distribution algorithm for paraxial wavefields with an application to free-space optical beam propagation

Ruelas, Adrián; López-Aguayo, Servando; Gutiérrez-Vega, Julio C.

doi:10.1088/2040-8978/18/9/095605

Cited by 5 publications

(1 citation statement)

References 43 publications

(74 reference statements)

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“…This particular mapping has been already analyzed within the context of fast Fourier transform algorithms [65,66]. More importantly, an interpolation scheme that transforms a sampled profile from a rectangular to a polar lattice via one-dimensional interpolations only has been already designed and studied [67].…”

Section: Symmetry Based Error Reductionmentioning

confidence: 99%

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Ruelas

López-Aguayo

Gutiérrez-Vega

2018

J. Opt.

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We present an unexplored non-interferometric approach for wavefront measurement of vortex beams based on the transport of intensity equation (TIE). By exploiting the symmetries of vortexes we are able to simplify the TIE to a reduced expression not reported before in the context of phase imaging. This reduced model can be solved to measure the phase profile of vortexes via one-dimensional operations only without the complexities pertaining the regular TIE. We also use the axial symmetry exhibited by the intensity profile of vortexes to build a noise filtering scheme exclusive to circularly symmetric images and thus address electronic noise in digital imaging systems. We present a series of numerical experiments both to clarify how to apply our proposal step by step and to prove its overall functionality.

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Section: Symmetry Based Error Reductionmentioning

confidence: 99%

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Ruelas

López-Aguayo

Gutiérrez-Vega

2018

J. Opt.

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Propagation properties of the circular Airy beam with a Gaussian envelope in Fourier space

Geng¹,

Zhang²

2020

Opt. Express

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We theoretically and experimentally study the propagation properties of the circular Airy beam (CAB) with a Gaussian envelope in Fourier space. The two parameters of the Gaussian function can be used to control the distribution of the spatial frequency, and thus to tune the propagation properties of this modified CAB. When the two parameters are chosen appropriately, the size of focal spot will be reduced, the maximum focal intensity and especially the abruptly autofocusing property will be greatly enhanced. Meanwhile, the focal position can remain almost the same with the common CAB. The experimental results show that the proposed beam can be generated conveniently by using the same Fourier transform method as used to generate the common CAB.

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Beam profiler network (BPNet): a deep learning approach to mode demultiplexing of Laguerre–Gaussian optical beams

Bekerman¹,

Froim²,

Hadad³

et al. 2019

Opt. Lett.

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The transverse field profile of light is being recognized as a resource for classical and quantum communications for which reliable methods of sorting or demultiplexing spatial optical modes are required. Here, we demonstrate, experimentally, state-of-the-art mode demultiplexing of Laguerre-Gaussian beams according to both their orbital angular momentum and radial topological numbers using a flow of two concatenated deep neural networks. The first network serves as a transfer function from experimentally-generated to ideal numerically-generated data, while using a unique "Histogram Weighted Loss" function that solves the problem of images with limited significant information. The second network acts as a spatial-modes classifier. Our method uses only the intensity profile of modes or their superposition, making the phase information redundant.

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A Hankel transform distribution algorithm for paraxial wavefields with an application to free-space optical beam propagation

Cited by 5 publications

References 43 publications

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Propagation properties of the circular Airy beam with a Gaussian envelope in Fourier space

Beam profiler network (BPNet): a deep learning approach to mode demultiplexing of Laguerre–Gaussian optical beams

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