volume | PIER Journals

Abstract

In this paper, high efficiency multi-functional all-optical logic gates based on a metal-insulator-metal (MIM) plasmonic waveguide structure with Kerr-type nonlinear nano-ring resonators are proposed. The proposed structure consists of three straight input ports, eight nano-ring resonators filled with the Kerr-type nonlinear medium, and one straight output port. By fixing the input signal power and properly changing the control power, it can be used to design high efficiency multi-functional all-optical logic gates. The numerical results show that the proposed Kerr-type nonlinear plasmonic waveguide structures could really function as all-optical XOR/NXOR, AND/NAND, and OR/NOR logic gates in the optical communication spectral region. The transmission efficiency of the high logic state is higher than 95%, and that of the low logic state is about 0% at the wavelength 1310nm. The performance of the proposed logic gates was analyzed and simulated by the finite element method (FEM).

1. Raether, H., Surface Plasmons on Smooth and Rough Surfaces and on Gratings, Springer-Verlag, 1988.
doi:10.1007/BFb0048317

2. Barnes, W. L., A. Dereux, and T. Ebbesen, "Surface plasmon subwavelength optics," Nature, Vol. 424, 824-830, 2003.
doi:10.1038/nature01937 Google Scholar

3. Takahara, J., Y. Suguru, T. Hiroaki, A. Morimoto, and T. Kobayashi, "Guiding of a one-dimensional optical beam with nanometer diameter," Opt. Lett., Vol. 22, 475-477, 1997.
doi:10.1364/OL.22.000475 Google Scholar

4. Veronis, G., Z. Yu, S. E. Kocabas, D. A. B. Miller, M. L. Brongersma, and S. Fan, "Metal-dielectric-metal plasmonic waveguide devices for manipulating light at the nanoscale," Chin. Opt. Lett., Vol. 7, 302-308, 2009.
doi:10.3788/COL20090704.0302 Google Scholar

5. Han, Z., E. Forsberg, and S. He, "Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides," IEEE Photon. Technol., Vol. 19, 91-93, 2007.
doi:10.1109/LPT.2006.889036 Google Scholar

6. Park, J., H. Kim, and B. Lee, "High order plasmonic Bragg reflection in the metal-insulator-metal waveguide Bragg grating," Opt. Express, Vol. 16, 413-425, 2008.
doi:10.1364/OE.16.000413 Google Scholar

7. Hosseini, A., H. Nejati, and Y. Massoud, "Modeling and design methodology for metal-insulator-metal plasmonic Bragg reflectors," Opt. Express, Vol. 16, 1475-1480, 2008.
doi:10.1364/OE.16.001475 Google Scholar

8. Hosseini, A. and Y. Massoud, "A low-loss metal-insulator-metal plasmonic Bragg reflector," Opt. Express, Vol. 14, 11318-11323, 2006.
doi:10.1364/OE.14.011318 Google Scholar

9. Pu, M., N. Yao, C. Hu, X. Xin, Z. Zhao, C. Wang, and X. Luo, "Directional coupler and nonlinear Mach-Zehnder interferometer based on metal insulator-metal plasmonic waveguide," Opt. Express, Vol. 18, 21030-21037, 2010.
doi:10.1364/OE.18.021030 Google Scholar

10. Hosseini, A. and Y. Massoud, "A rectangular metal-insulator-metal based nanoscale plasmonic resonator," IEEE-NANO, 81-84, 2007. Google Scholar

11. Anglin, K., D. C. Adams, T. Ribaudo, and D. Wasserman, "Toothed mid-infrared metal-insulator-metal waveguides," CLEO, CTuS4, 2011. Google Scholar

12. Bian, Y. and Q. Gong, "Compact all-optical interferometric logic gates based on one-dimensional metal-insulator-metal structures," Opt. Comm., Vol. 313, 27-35, 2014.
doi:10.1016/j.optcom.2013.09.055 Google Scholar

13. Chen, Z. Q., J. Chen, Y. D. Li, D. Pan, W. Q. Lu, Z. Q. Hao, J. J. Xu, and Q. Sun, "Simulation of nanoscale multifunctional interferometric logic gates based on coupled metal gap waveguides," IEEE Photonics Technology Letters, Vol. 24, 1366-1368, 2012.
doi:10.1109/LPT.2012.2202283 Google Scholar

14. Dolatabady, A. and N. Granpayeh, "All optical logic gates based on two dimensional plasmonic waveguides with nanodisk resonators," J. O. S. K., Vol. 16, 432, 2012. Google Scholar

15. Wu, Y. D., "High transmission efficiency wavelength division multiplexer based on metal-insulator-metal plasmonic waveguides," OSA/IEEE J. of Lightwave Techn., Vol. 32, 4242, 2014.
doi:10.1109/JLT.2014.2378158 Google Scholar

16. Pramono, Y. H. and Endarko, "Nonlinear waveguides for optical logic and computation," J. Nonlinear Opt. Phys. Mater., Vol. 10, 209-222, 2001.
doi:10.1142/S0218863501000553 Google Scholar

17. Wu, Y. D., "New all-optical switch based on the spatial soliton repulsion," Opt. Express, Vol. 14, 4005, 2006.
doi:10.1364/OE.14.004005 Google Scholar

18. Wu, Y. D., M. L. Whang, M. H. Chen, and R. Z. Tasy, "All-optical switch based on the local nonlinear Mach-Zehnder interferometer," Opt. Express, Vol. 15, 9883, 2007.
doi:10.1364/OE.15.009883 Google Scholar

19. Radwell, N., C. McIntyre, A. J. Scroggie, G. L. Oppo, W. J. Firth, and T. Ackemann, "Switching spatial dissipative solitons in a VCSEL with frequency selective feedback," Eur. Phys. J. D, Vol. 59, 121, 2010.
doi:10.1140/epjd/e2010-00124-6 Google Scholar

20. Sarma, K., "Vector soliton switching in a fiber nonlinear directional coupler," Opt. Comm., Vol. 284, 186, 2011.
doi:10.1016/j.optcom.2010.09.001 Google Scholar

21. Hatami, M., R. Attarzadeh, and A. Gharaati, "Design of an ultra-fast all-optical dark soliton switch in a Three-core Nonlinear Directional Coupler (TNLDC) made of chalcogenide glasses," J. Nonlinear Optic. Phys. Mat., Vol. 21, 1250038, 2012.
doi:10.1142/S0218863512500385 Google Scholar

22. Karimi, S., M. Ebnali-Heidari, and F. Forootan, "Design and modelling of a 1 × n all-optical nonlinear Mach-Zehnder switch controlled by wavelength and input power," Progress In Electromagnetics Research M, Vol. 28, 101-113, 2013.
doi:10.2528/PIERM12100504 Google Scholar

23. Liu, W.-J. and M. Lei, "All-optical switches using solitons within nonlinear fibers," Journal of Electromagnetic Waves and Applications, Vol. 27, No. 18, 2288-2297, 2013.
doi:10.1080/09205071.2013.839961 Google Scholar

24. Zhong, H., B. Tian, Y. Jiang, M. Li, P. Wang, and W.-J. Liu, "All-optical soliton switching for the asymmetric fiber couplers," Eur. Phys. J. D, Vol. 67, 1, 2013. Google Scholar

25. Wu, Y. D., "All-optical logic gates by using multibranch waveguide structure with localized optical nonlinearity," IEEE J. Sel. Top. Quantum. Electron., Vol. 11, 307, 2005. Google Scholar

26. Serak, S. V., N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial soliton all-optical logic gates," IEEE Photon. Techn. Lett., Vol. 18, 1287, 2006.
doi:10.1109/LPT.2006.875318 Google Scholar

27. Wu, Y. D., T. T. Shih, and M. H. Chen, "New all-optical logic gates based on the local nonlinear Mach-Zehnder interferometer," Opt. Express, Vol. 16, 248, 2008.
doi:10.1364/OE.16.000248 Google Scholar

28. Corbelli, M. M., F. Garzia, and R. Cusani, "All-optical EXOR for cryptographic application based on spatial solitons," J. of Info. Security, Vol. 4, 180, 2013.
doi:10.4236/jis.2013.43020 Google Scholar

29. Kubota, Y. and T. Odagaki, "Logic gates based on soliton transmission in the toda lattice," Adv. in Appl. Phys., Vol. 1, 29, 2013.
doi:10.12988/aap.2013.13003 Google Scholar

30. Bian, Y. and Q. Gong, "Compact all-optical interferometric logic gates based on one-dimensional metal-insulator-metal structures," Opt. Comm., Vol. 313, 27, 2014. Google Scholar

31. Chen, Z., J. Chen, Y. Li, D. Pen, W. Lu, Z. Hao, J. Xu, and Q. Sun, "Simulation of nanoscale multifuntional interferometric logic gates based on coupled metal gap waveguides," IEEE Photon. Technol. Lett., Vol. 24, 1366, 2012. Google Scholar

32. Dolatabady, A. and N. Granpayeh, "All optical logic gate based on two dimensional plasmonic waveguides with nanodisk resonators," J. of the Opt. Soci. of Korea, Vol. 16, 432, 2012. Google Scholar

33. Wang, L., L. Yan, Y. Guo, K.Wen, W. Pan, and B. Luo, "Optical quasi logic based on polarization-dependent four-wave mixing in subwavelength metallic waveguides," Opt. Express, Vol. 21, 14442, 2013. Google Scholar

34. Nozhat, N. and N. Granpayeh, "All-optical logic gates based on nonlinear plasmonic ring resonators," Appl. Opt., Vol. 54, 7944, 2015. Google Scholar

35. Wen, J., J. Chen, K. Wang, B. Dai, Y. Hung, and D. Zhang, "Broadband plasmonic logic input sources constructed with dual square ring resonators and dual waveguides," IEEE Photon. J., Vol. 8, 4801209, 2016. Google Scholar

36. Yc, Y., Y. Xic, Y. Liu, S. Wang, J. Zhang, and Y. Liu, "Design of a compact logic device based on plasmonic-induced transparency," IEEE Photon. J., Vol. 29, 647, 2016. Google Scholar

37. Abdulnabi, S. H. and M. N. Abbas, "All-optical logic gates based on nanoring insulator-metalinsulator plasmonic waveguides at optical communications band," Journal of Nanophotonics, Vol. 13, No. 1, 16009, 2019. Google Scholar

38. Abdulnabi, S. H. and M. N. Abbas, "Design an all-optical combinational logic circuits based on nano-ring insulator-metal-insulator plasmonic waveguides," Photonics, Vol. 6, No. 1, 30, 2019. Google Scholar

39. Shekhar, P., A. Kumar, A. Ahmad, and M. Srivastava, "All optical OR/NOR logic gate using the micro-ring resonator based switching activity," International Conference on Electrical, Electronics and Computer Engineering (UPCON), 2019. Google Scholar

40. Abbas, M. N. and S. H. Abdulnabi, "Plasmonic reversible logic gates," Journal of Nanophotonics, Vol. 14, No. 01, 1, 2019. Google Scholar

41. Noor, S. L., K. Dens, P. Reynaert, F. Catthoor, D. Lin, P. V. Dorpe, and A. Naeemi, "Modeling and optimization of plasmonic detectors for beyond-CMOS plasmonic majority logic gates," OSA/IEEE J. of Lightwave Technol., Vol. 38, 5092, 2020. Google Scholar

42. Fakhruldeen, H. F. and T. S. Mansour, "Design and simulation of plasmonic NOT gate based on insulator-metal-insulator (IMI) waveguides," Advanced Electromagnetics, Vol. 9, 91, 2020. Google Scholar

43. Sederberg, S., V. Van, and A. Y. Elezzabi, "Monolithic integration of plasmonic waveguides into a complimentary metal-oxide-semiconductor- and photonic-compatible platform," Appl. Phys. Lett., Vol. 96, 121101, 2010. Google Scholar

44. Choo, H., M. K. Kim, M. Staffaroni, T. J. Seok, J. Bokor, S. Cabrini, P. J. Schuck, M. C. Wu, and E. Yablonovitch, "Nanofocusing in a metal-insulator-metal gap plasmon waveguide with a three-dimensional linear taper," Nat. Photonics, Vol. 6, 838-844, 2012. Google Scholar

45. Kwon, M. S., J. S. Shin, S. Y. Shin, and W. G. Lee, "Characterizations of realized metal-insulator-silicon-insulator-metal waveguides and nanochannel fabrication via insulator removal," Opt. Express, Vol. 20, 21875-21887, 2012. Google Scholar

46. Sullivan, D., D. Borup, and O. Gandhi, "Use of the finite-difference time-domain method in calculating EM absorption in human tissues," IEEE Trans. Biomed. Eng., Vol. 34, 148, 1987. Google Scholar

47. Adhidjaja, J. and G. Horhmann, "A finite-difference algorithm for the transient electromagnetic response of a three-dimensional body," Geophysics J. Int., Vol. 98, 233, 1989. Google Scholar

48. Piket-May, M. and A. Taflove, "Electrodynamics of visible-light interactions with the vertebrate retinal rod," Opt. Lett., Vol. 18, 568, 1993. Google Scholar

49. Caorsi, S., A. Massa, and M. Pastorino, "Computation of electromagnetic scattering by nonlinear bounded dielectric objects: A FDTD approach," Microwave Opt. Technol. Lett., Vol. 7, 788, 1994. Google Scholar

50. Tao, J., Q. J. Wang, and X. G. Huang, "All-optical plasmonic switches based on coupled nano-disk cavity structures containing nonlinear material," Plasmonics, Vol. 6, 753, 2011. Google Scholar

Professor Yaw-Dong Wu