Skip to main content

Advertisement

Log in

An ultra-compact and highly stable optical numerical comparator based on Y-shaped graphene nanoribbons

  • Regular Article – Optical Phenomena and Photonics
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

Research on artificial neural network computing based on conventional integrated circuit chips has made significant progress, but it faces technical bottlenecks such as reduced energy consumption, computing speed, and efficiency. So, it is seeking integrated chips based on optical interconnections to solve the current dilemma. Fortunately, the small size and very localized graphene surface plasmon waves offer the possibility of optical integrated chips. In this paper, we propose a graphene-based one-bit optical numerical comparator. The comparator is located on the top of a 0.4-μm2 rectangular dielectric layer, mainly consisting of Y-shaped graphene nanoribbons. The on/off effect of the graphene nanoribbons is achieved by applying an external voltage to change the chemical potential energy of the graphene switching bands. The proposed optical numerical comparator with 9.55-μm TM mode light achieves a minimum extinction ratio of 31.12 dB and amplitude modulation of 0.77 dB, as shown by the finite-difference time-domain (FDTD) method. Compared with the current optical numerical comparators, it has the advantages of a high extinction ratio, small size, low loss, and high stability. In addition, the effect of process deviation of graphene nanoribbons on the reliability of the designed optical numerical comparator is analyzed by simulation. It is beneficial to developing integrated photonic devices and has some significance for developing ultra-high-frequency and integrating artificial neural network computing.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Data Availability Statement

All data generated or analyzed during this study are included in this published article. This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data contained in this article are all in the tables and figures in the article, that is, the data are displayed in the form of charts.]

Code availability

All of the required data from the utilized software can be delivered.

References

  1. X.Y. Xu et al., 11 tops photonic convolutional accelerator for optical neural networks. Nature 589, 44–51 (2021)

    Article  ADS  Google Scholar 

  2. J. Feldmann et al., Parallel convolutional processing using an integrated photonic tensor core. Nature 589, 52–58 (2021)

    Article  ADS  Google Scholar 

  3. G.B. Lovkesh, M. Anupma, Design and analysis of various multifunctional operations at ultrahigh speed by using a semiconductor optical amplifier-mach–zehnder interferometer. Opt. Eng. 55, 33101 (2016)

    Article  Google Scholar 

  4. S. Kumar et al., Design of 1-bit and 2-bit magnitude comparators using electro-optic effect in mach–zehnder interferometers. Opt. Commun. 357, 127–147 (2015)

    Article  ADS  Google Scholar 

  5. L. Yang et al., Demonstration of a directed optical comparator based on two cascaded microring resonators. IEEE Photon. Technol. Lett. 27, 809–812 (2015)

    Article  ADS  Google Scholar 

  6. F. Parandin, Ultra-compact terahertz all-optical logic comparator on gaas photonic crystal platform. Opt. Laser Technol. 144, 107399 (2021)

    Article  Google Scholar 

  7. J.K. Rakshit, Design of All Optical 1-Bit and 2-Bit Magnitude Comparator Using Micro-Ring Resonator. (IEEE, 2017).

  8. J.N. Roy, Mach–zehnder interferometer-based tree architecture for all-optical logic and arithmetic operations. Optik 120, 318–324 (2009)

    Article  ADS  Google Scholar 

  9. L. Zhu, F. Mehdizadeh, R. Talebzadeh, Application of photonic-crystal-based nonlinear ring resonators for realizing an all-optical comparator. Appl. Opt. 58, 8316–8321 (2019)

    Article  ADS  Google Scholar 

  10. A.V. Zayats, I.I. Smolyaninov, A.A. Maradudin, Nano-optics of surface plasmon polaritons. Phys. Rep. 408, 131–314 (2005)

    Article  ADS  Google Scholar 

  11. D.K. Gramotnev, S.I. Bozhevolnyi, Plasmonics beyond the diffraction limit. Nat. Photon. 4, 83–91 (2010)

    Article  ADS  Google Scholar 

  12. X.G. Luo et al., Plasmons in graphene: recent progress and applications. Mater. Sci. Eng. R. Rep. 74, 351–376 (2013)

    Article  Google Scholar 

  13. M.H. Rezaei, A. Zarifkar, M. Miri, Ultra-compact electro-optical graphene-based plasmonic multi-logic gate with high extinction ratio. Opt. Mater. 84, 572–578 (2018)

    Article  ADS  Google Scholar 

  14. L.M. Tong et al., Recent advances in plasmonic sensors. Sensors 14, 7959–7973 (2014)

    Article  ADS  Google Scholar 

  15. W.X. Tang et al., Concept, theory, design, and applications of spoof surface plasmon polaritons at microwave frequencies. Adv. Opt. Mater. 7, 1800421 (2019)

    Article  Google Scholar 

  16. M.H. Rezaei, A. Zarifkar, High-extinction ratio and ultra-compact two-bit comparators based on graphene-plasmonic waveguides. Appl. Opt. 58, 9829–9838 (2019)

    Article  ADS  Google Scholar 

  17. G.W. Hanson, Dyadic green’s functions and guided surface waves for a surface conductivity model of graphene. Am. Inst. Phys. 103, 064302 (2008)

    Google Scholar 

  18. M. Liu et al., A graphene-based broadband optical modulator. Nature 474, 64–67 (2011)

    Article  ADS  Google Scholar 

  19. M.H. Rezaei, A. Zarifkar, Subwavelength electro-optical half-subtractor and half-adder based on graphene plasmonic waveguides. Plasmonics 14, 1939–1947 (2019)

    Article  Google Scholar 

  20. M.H. Rezaei et al., Design of a high-efficient and ultra-compact full-adder based on graphene-plasmonic structure. Superlattices Microstruct. 129, 139–145 (2019)

    Article  ADS  Google Scholar 

  21. T. Chattopadhyay et al., Theoretical analysis of all-optical clocked d flip-flop using a single SOA assisted symmetric mzi. Opt. Commun. 285, 2266–2275 (2012)

    Article  ADS  Google Scholar 

  22. K. Santosh, S. Lokendra, C. Nan-Kuang, All-optical bit magnitude comparator device using metal–insulator–metal plasmonic waveguide. Opt. Eng. 56, 121908 (2017)

    Article  Google Scholar 

  23. S.H. Abdulwahid, A.G. Wadday, S.M. Abdul Sattar, All-optical design for multiplexer and comparator utilizing hybrid plasmonic waveguides. Appl. Opt. 61, 8864–8872 (2022)

    Article  ADS  Google Scholar 

  24. F. Parandin et al., Design and simulation of linear all-optical comparator based on square-lattice photonic crystals. Photonics 9, 459 (2022)

    Article  Google Scholar 

  25. J.K. Rakshit, J.N. Roy, All-optical ultrafast switching in a silicon microring resonator and its application to design multiplexer/demultiplexer, adder/subtractor and comparator circuit. Opt. Appl. 46, 517–539 (2016)

    Google Scholar 

  26. F. Parandin, R. Kamarian, M. Jomour, Optical 1-bit comparator based on two-dimensional photonic crystals. Appl. Optics 60, 2275–2280 (2021)

    Article  ADS  Google Scholar 

  27. S.M.A. Mostaan, H. Saghaei, A tunable broadband graphene-based metamaterial absorber in the far-infrared region. Opt. Quantum Electron. (2021). https://doi.org/10.1007/s11082-021-02744-y

    Article  Google Scholar 

  28. A. Mokhtarbaf et al., Design and simulation of all-optical majority gates using fluid infiltration approach in photonic crystal slab. Opt. Quantum Electron. 55, 1–14 (2023)

    Google Scholar 

  29. S. Naghizade, A. Didari-Bader, H. Saghaei, M. Etezad, An electro-optic comparator based on photonic crystal ring resonators covered by graphene nanoshells. Optik 283, 170898 (2023). https://doi.org/10.1016/j.ijleo.2023.170898

    Article  ADS  Google Scholar 

  30. A.N. Raad, H. Saghaei, Y.S. Mehrabani, An optical 2-to-4 decoder based on photonic crystal x-shaped resonators covered by graphene shells. Opt. Quantum Electron. (2023). https://doi.org/10.1007/s11082-023-04727-7

    Article  Google Scholar 

  31. S. Naghizade et al., A novel design of all-optical 4 to 2 encoder with multiple defects in silica-based photonic crystal fiber. Optik 222, 165419 (2020)

    Article  ADS  Google Scholar 

  32. S. Naghizade et al., Ultra-fast tunable optoelectronic full-adder based on photonic crystal ring resonators covered by graphene nanoshells. Phys. E Low-Dimen. Syst. Nanostruct. 142, 115293 (2021)

    Article  Google Scholar 

  33. A. Foroughifar, H. Saghaei, E. Veisi, Design and analysis of a novel four‐channel optical filter using ring resonators and line defects in photonic crystal microstructure. Opt. Quantum Electron. (2021). https://doi.org/10.1007/s11082-021-02743-z

    Article  Google Scholar 

  34. S. Naghizade, A. Didari-Bader, H. Saghaei, M. Etezad, Ultra-fast all-optical 8-to-3 encoder utilizing photonic crystal fiber. AIP Adv. (2023). https://doi.org/10.1063/5.0142525

    Article  Google Scholar 

  35. P. Gutruf et al., Strain response of stretchable micro-electrodes: controlling sensitivity with serpentine designs and encapsulation. Appl. Phys. Lett. 104, 21908 (2014)

    Article  Google Scholar 

  36. M. Caironi et al., Large Area and Flexible Electronics (Wiley, Weinheim, 2015)

    Book  Google Scholar 

  37. P. Li et al., Graphene-based transparent electrodes for hybrid solar cells. Front. Mater. 1, 26 (2014)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We express our sincere thanks to the anonymous reviewers for their helpful suggestions.

Funding

This work is partially funded by National Natural Science Foundation of China (62161008), Guangxi Natural Science Foundation Joint Funding Project (2018GXNSFAA138115), Guangxi Key Laboratory of Automatic Detecting Technology and Instruments (YQ22110), Shanxi Province Science and Technology Major Program (No. 202201030201009), and the Open Project Program of Shanxi Key Laboratory of Advanced Semiconductor Optoelectronic Devices and Integrated Systems (No. 2023SZKF04).

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Theoretical research, simulation experiment, data collection, and analysis were performed by [AZ], [LS], [LC], [CH], and [RM]. The first draft of the manuscript was written by [LS], and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Lei Cheng or Cong Hu.

Ethics declarations

Conflict of interest

The authors declare no conflict of interest.

Ethics approval

We confirm the ethic approval.

Human and animal rights and informed consent

This article does not contain any studies involving animals or human participants performed by any of the authors.

Consent to participate

All of authors and contributors have consent for this article.

Consent for publication

All of authors and contributors have consent to publish in this journal.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhu, A., Song, L., Cheng, L. et al. An ultra-compact and highly stable optical numerical comparator based on Y-shaped graphene nanoribbons. Eur. Phys. J. D 77, 169 (2023). https://doi.org/10.1140/epjd/s10053-023-00748-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/s10053-023-00748-9

Navigation