Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network

In underwater wireless optical communication (UWOC), a vortex beam carrying orbital angular momentum has a spatial spiral phase distribution, which provides spatial freedom for UWOC and, as a new information modulation dimension resource, it can greatly improve channel capacity and spectral efficien...

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Main Authors: Xiaoji Li, Leiming Sun, Jiemei Huang, Fanze Zeng
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/2/971
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author Xiaoji Li
Leiming Sun
Jiemei Huang
Fanze Zeng
author_facet Xiaoji Li
Leiming Sun
Jiemei Huang
Fanze Zeng
author_sort Xiaoji Li
collection DOAJ
description In underwater wireless optical communication (UWOC), a vortex beam carrying orbital angular momentum has a spatial spiral phase distribution, which provides spatial freedom for UWOC and, as a new information modulation dimension resource, it can greatly improve channel capacity and spectral efficiency. In a case of the disturbance of a vortex beam by ocean turbulence, where a Laguerre–Gaussian (<i>LG</i>) beam carrying orbital angular momentum (OAM) is damaged by turbulence and distortion, which affects OAM pattern recognition, and the phase feature of the phase map not only has spiral wavefront but also phase singularity feature, the convolutional neural network (CNN) model can effectively extract the information of the distorted OAM phase map to realize the recognition of dual-mode OAM and single-mode OAM. The phase map of the Laguerre–Gaussian beam passing through ocean turbulence was used as a dataset to simulate and analyze the OAM recognition effect during turbulence caused by different temperature ratios and salinity. The results showed that, during strong turbulence <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>C</mi><mi>n</mi><mn>2</mn></msubsup><mo>=</mo><mn>1.0</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><msup><mi mathvariant="normal">K</mi><mn>2</mn></msup><msup><mi mathvariant="normal">m</mi><mrow><mo>−</mo><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msup></mrow></semantics></math></inline-formula>, when different <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula> = −1.75, the recognition rate of dual-mode OAM (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>ℓ</mo></semantics></math></inline-formula> = ±1~±5, ±1~±6, ±1~±7, ±1~±8, ±1~±9, ±1~±10) had higher recognition rates of 100%, 100%, 100%, 100%, 98.89%, and 98.67% and single-mode OAM (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>ℓ</mo></semantics></math></inline-formula> = 1~5, 1~6, 1~7, 1~8, 1~9, 1~10) had higher recognition rates of 93.33%, 92.77%, 92.33%, 90%, 87.78%, and 84%, respectively. With the increase in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula>, the recognition accuracy of the CNN model will gradually decrease, and in a fixed case, the dual-mode OAM has stronger anti-interference ability than single-mode OAM. These results may provide a reference for optical communication technologies that implement high-capacity OAM.
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spelling doaj.art-b77e7bd1cd3b45a9b9cab126894227fb2023-12-01T00:30:40ZengMDPI AGSensors1424-82202023-01-0123297110.3390/s23020971Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural NetworkXiaoji Li0Leiming Sun1Jiemei Huang2Fanze Zeng3Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, Guilin 541004, ChinaKey Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, Guilin 541004, ChinaKey Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, Guilin 541004, ChinaKey Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, Guilin 541004, ChinaIn underwater wireless optical communication (UWOC), a vortex beam carrying orbital angular momentum has a spatial spiral phase distribution, which provides spatial freedom for UWOC and, as a new information modulation dimension resource, it can greatly improve channel capacity and spectral efficiency. In a case of the disturbance of a vortex beam by ocean turbulence, where a Laguerre–Gaussian (<i>LG</i>) beam carrying orbital angular momentum (OAM) is damaged by turbulence and distortion, which affects OAM pattern recognition, and the phase feature of the phase map not only has spiral wavefront but also phase singularity feature, the convolutional neural network (CNN) model can effectively extract the information of the distorted OAM phase map to realize the recognition of dual-mode OAM and single-mode OAM. The phase map of the Laguerre–Gaussian beam passing through ocean turbulence was used as a dataset to simulate and analyze the OAM recognition effect during turbulence caused by different temperature ratios and salinity. The results showed that, during strong turbulence <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>C</mi><mi>n</mi><mn>2</mn></msubsup><mo>=</mo><mn>1.0</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><msup><mi mathvariant="normal">K</mi><mn>2</mn></msup><msup><mi mathvariant="normal">m</mi><mrow><mo>−</mo><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msup></mrow></semantics></math></inline-formula>, when different <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula> = −1.75, the recognition rate of dual-mode OAM (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>ℓ</mo></semantics></math></inline-formula> = ±1~±5, ±1~±6, ±1~±7, ±1~±8, ±1~±9, ±1~±10) had higher recognition rates of 100%, 100%, 100%, 100%, 98.89%, and 98.67% and single-mode OAM (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>ℓ</mo></semantics></math></inline-formula> = 1~5, 1~6, 1~7, 1~8, 1~9, 1~10) had higher recognition rates of 93.33%, 92.77%, 92.33%, 90%, 87.78%, and 84%, respectively. With the increase in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula>, the recognition accuracy of the CNN model will gradually decrease, and in a fixed case, the dual-mode OAM has stronger anti-interference ability than single-mode OAM. These results may provide a reference for optical communication technologies that implement high-capacity OAM.https://www.mdpi.com/1424-8220/23/2/971orbital angular momentumocean turbulenceconvolutional neural networks
spellingShingle Xiaoji Li
Leiming Sun
Jiemei Huang
Fanze Zeng
Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
Sensors
orbital angular momentum
ocean turbulence
convolutional neural networks
title Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
title_full Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
title_fullStr Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
title_full_unstemmed Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
title_short Research on Orbital Angular Momentum Recognition Technology Based on a Convolutional Neural Network
title_sort research on orbital angular momentum recognition technology based on a convolutional neural network
topic orbital angular momentum
ocean turbulence
convolutional neural networks
url https://www.mdpi.com/1424-8220/23/2/971
work_keys_str_mv AT xiaojili researchonorbitalangularmomentumrecognitiontechnologybasedonaconvolutionalneuralnetwork
AT leimingsun researchonorbitalangularmomentumrecognitiontechnologybasedonaconvolutionalneuralnetwork
AT jiemeihuang researchonorbitalangularmomentumrecognitiontechnologybasedonaconvolutionalneuralnetwork
AT fanzezeng researchonorbitalangularmomentumrecognitiontechnologybasedonaconvolutionalneuralnetwork