Fast Convergent Particle Swarm Optimization Algorithm for Subwavelength Azimuthally Polarized Metal Grating Design

Chunlin Zhu; Qingbin Jiao; Xin Tan; Wei Wang; [in Chinese]

doi:10.3788/AOS201939.0705002

Acta Optica Sinica, Volume. 39, Issue 7, 0705002(2019)

Fast Convergent Particle Swarm Optimization Algorithm for Subwavelength Azimuthally Polarized Metal Grating Design

Chunlin Zhu^1,2, Qingbin Jiao¹, Xin Tan¹, Wei Wang¹, and [in Chinese]^1、*

¹ National Engineering Research Centre for Diffraction Gratings Manufacturing and Application, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China

² University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(9)

Fig. 1. Subwavelength azimuthally polarized metal grating. (a) Grating with concentric ring structure; (b) cross section of grating

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Fig. 2. Schematic of grating partition

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Fig. 3. Flow chart of 1st step of PDW-PSO

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Fig. 4. Flow chart of 2nd step of PDW-PSO

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Fig. 5. Simulated reflectivity by RCWA

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$Object diffraction efficiency curves and designed results of three different types. (a) Multi-peak curves; (b) narrow-band curves; (c) broad-band curves$

Fig. 6. Object diffraction efficiency curves and designed results of three different types. (a) Multi-peak curves; (b) narrow-band curves; (c) broad-band curves

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Fig. 7. Accuracy of three PSO algorithms under different sizes of population. (a) Single peak (SAPG); (b) multi-peak curve; (c) narrow-band curve; (d) broad-band curve

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Table 1. Average iteration times of three PSO algorithms
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Table 1. Average iteration times of three PSO algorithms
Curve type PSO IDW-PSO PDW-PSO
1^st step 2^nd step
Single peak (SAPG) 89.83 74.00 18.5 2.70
Multi peaks 142.70 107.27 90.3 14.00
Narrow-band 178.00 158.10 119.0 3.03
Broad-band 69.60 53.00 21.5 4.00

Table 2. Average calling times of RCWA of three algorithms under different object curves
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Table 2. Average calling times of RCWA of three algorithms under different object curves
Type of target spectrum line PSO IDW-PSO PDW-PSO
Single peak (SAPG) 3144.05 2590.00 224.00
Multi peaks 4994.50 3754.45 1122.10
Narrow-band 6230.00 5533.50 939.05
Broad-band 2436.00 1855.00 290.50

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Chunlin Zhu, Qingbin Jiao, Xin Tan, Wei Wang, [in Chinese]. Fast Convergent Particle Swarm Optimization Algorithm for Subwavelength Azimuthally Polarized Metal Grating Design[J]. Acta Optica Sinica, 2019, 39(7): 0705002

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