A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm

With the rapid development of computer hardware and the emergence of the parallel calculation of diffraction fields, a breakthrough has been made in terms of the limitation of the unacceptable amount of computational cost to design diffractive optical elements (DOEs), and more accurate global search...

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Main Authors: Ping Su, Chao Cai, Yuming Song, Jianshe Ma, Qiaofeng Tan
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/16/5485
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spelling doaj-9df64a1c45c74b40b5fa6a514bf37bbf2020-11-25T03:10:59ZengMDPI AGApplied Sciences2076-34172020-08-01105485548510.3390/app10165485A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing AlgorithmPing Su0Chao Cai1Yuming Song2Jianshe Ma3Qiaofeng Tan4Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaShenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaShenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaShenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaDepartment of Precision Instrument, Tsinghua University, Beijing 100084, ChinaWith the rapid development of computer hardware and the emergence of the parallel calculation of diffraction fields, a breakthrough has been made in terms of the limitation of the unacceptable amount of computational cost to design diffractive optical elements (DOEs), and more accurate global search algorithms can be introduced to the design of complex DOEs and holographic projections instead of traditional iterative algorithms. In this paper, a hybrid algorithm which combines particle swarm optimization (PSO) with a simulated annealing (SA) algorithm is proposed for the designing of DOEs and projecting holographic images with less noise. PSO is used to reduce the invalid disturbance in SA, and SA can jump out from local extreme points to find the global extreme points. Compared with the traditional Gerchberg–Saxton (GS) algorithm, the simulation and experimental results demonstrate that the proposed SA–PSO hybrid algorithm can improve uniformity by more than 10%.https://www.mdpi.com/2076-3417/10/16/5485diffractive optical elementsparticle swarm optimizationsimulated annealing
collection DOAJ
language English
format Article
sources DOAJ
author Ping Su
Chao Cai
Yuming Song
Jianshe Ma
Qiaofeng Tan
spellingShingle Ping Su
Chao Cai
Yuming Song
Jianshe Ma
Qiaofeng Tan
A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
Applied Sciences
diffractive optical elements
particle swarm optimization
simulated annealing
author_facet Ping Su
Chao Cai
Yuming Song
Jianshe Ma
Qiaofeng Tan
author_sort Ping Su
title A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
title_short A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
title_full A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
title_fullStr A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
title_full_unstemmed A Hybrid Diffractive Optical Element Design Algorithm Combining Particle Swarm Optimization and a Simulated Annealing Algorithm
title_sort hybrid diffractive optical element design algorithm combining particle swarm optimization and a simulated annealing algorithm
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-08-01
description With the rapid development of computer hardware and the emergence of the parallel calculation of diffraction fields, a breakthrough has been made in terms of the limitation of the unacceptable amount of computational cost to design diffractive optical elements (DOEs), and more accurate global search algorithms can be introduced to the design of complex DOEs and holographic projections instead of traditional iterative algorithms. In this paper, a hybrid algorithm which combines particle swarm optimization (PSO) with a simulated annealing (SA) algorithm is proposed for the designing of DOEs and projecting holographic images with less noise. PSO is used to reduce the invalid disturbance in SA, and SA can jump out from local extreme points to find the global extreme points. Compared with the traditional Gerchberg–Saxton (GS) algorithm, the simulation and experimental results demonstrate that the proposed SA–PSO hybrid algorithm can improve uniformity by more than 10%.
topic diffractive optical elements
particle swarm optimization
simulated annealing
url https://www.mdpi.com/2076-3417/10/16/5485
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