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Laser & Optoelectronics Progress, Volume. 60, Issue 9, 0926001(2023)

Numerical Analysis of the Band Structure of Two-Dimensional Dispersive Dielectric Photonic Crystals

Xianghui Zhong and Jianhua Yuan*
Author Affiliations
  • School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (13)
    Equations (25)
    References (14)
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    Figures & Tables(13)
    Photonic crystal unit cell. (a) Square lattice; (b) triangular lattice

    Fig. 1. Photonic crystal unit cell. (a) Square lattice; (b) triangular lattice

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    First Brillouin zone. (a) Square lattice; (b) triangular lattice

    Fig. 2. First Brillouin zone. (a) Square lattice; (b) triangular lattice

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    Algorithm 1 flow chart

    Fig. 3. Algorithm 1 flow chart

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    Dispersion relation curve of example 1

    Fig. 4. Dispersion relation curve of example 1

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    Computed band structure for example 1:TM mode

    Fig. 5. Computed band structure for example 1:TM mode

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    Computed band structure for example 1: TE mode

    Fig. 6. Computed band structure for example 1: TE mode

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    Gap map of example 1 in TM mode

    Fig. 7. Gap map of example 1 in TM mode

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    Dispersion relation curve of example 2

    Fig. 8. Dispersion relation curve of example 2

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    Results chart obtained by algorithm in this paper

    Fig. 9. Results chart obtained by algorithm in this paper

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    Results chart obtained by relative algorithm

    Fig. 10. Results chart obtained by relative algorithm

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    Dispersion relation curve of example 3

    Fig. 11. Dispersion relation curve of example 3

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    Computed band structure for example 3: TM mode, f=0.0546

    Fig. 12. Computed band structure for example 3: TM mode, f=0.0546

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    Computed band structure for example 3: TM mode, f=0.4720

    Fig. 13. Computed band structure for example 3: TM mode, f=0.4720

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    Xianghui Zhong, Jianhua Yuan. Numerical Analysis of the Band Structure of Two-Dimensional Dispersive Dielectric Photonic Crystals[J]. Laser & Optoelectronics Progress, 2023, 60(9): 0926001

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    Paper Information

    Category: Physical Optics

    Received: Dec. 22, 2021

    Accepted: Mar. 3, 2022

    Published Online: May. 9, 2023

    The Author Email: Yuan Jianhua (jianhua_yuan@126.com)

    DOI:10.3788/LOP213315

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology