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MMI-based all-optical multi-input XOR and XNOR logic gates using nonlinear directional coupler

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Abstract

We propose an all-optical 2-input XOR logic gate based on multimode interference and employ it as a basic structure in order to develop 3- and 4-input XOR logic gates. A 3 dB MMI coupler has been designed to be used as 2-input XOR logic gate. The integration of optical 2-input XOR gates encounters with the phase matching issues. Therefore, a nonlinear directional coupler is associated to produce a relative phase shift of π between the coupled and uncoupled branches. Such phase shift is cancelled with launching a simultaneous high intensity control field. Also, by assigning logic 1 to one of inputs in n-input XOR structure, the (n − 1)-input XNOR logic gate has been achieved. Two dimensional beam propagation method has been used to simulate and verify the performance of proposed all-optical 2-, 3- and 4-input XOR logic gates. Simulation results show that the proposed structure is almost insensitive to fabrication process tolerances.

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References

  • Bahrami, A., Rostami, A.: A proposal for 1 × 8 all-optical switch using multimode interference. Opt. Appl. 41, 165–172 (2011)

    Google Scholar 

  • Bahrami, A., Rostami, A., Nazari, F., Abbasian, K.: EIT-based MZ-MMI all-optical switch. J. Mod. Opt. 57, 2021–2026 (2010)

    Article  MATH  ADS  Google Scholar 

  • Bahrami, A., Mohammadnejad, S., Rostami, A.: All-optical multi-mode interference switches using non-linear directional coupler as a passive phase shifter. Fiber Integr. Opt. 30, 139–150 (2011a)

    Article  Google Scholar 

  • Bahrami, A., Rostami, A., Nazari, F.: MZ-MMI-based all-optical switch using nonlinear coupled waveguides. Optik 122, 1787–1790 (2011b)

    Article  ADS  Google Scholar 

  • Chang, W., Lien, C., Lin, H., Wang, H.: Design of the novel optoelectronic gates based on the multimode interference. J. Opt. Commun. 24, 35–39 (2003)

    Article  Google Scholar 

  • Deng, N., Chan, K., Chan, C.K., Chen, L.K.: An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWM in semiconductor optical amplifier. IEEE J. Sel. Top. Quantum Electron. 12, 702–707 (2006)

    Article  Google Scholar 

  • Husko, C., Vo, T.D., Corcoran, B., Li, J., Krauss, T.F., Eggleton, B.J.: Ultracompact all-optical XOR logic gate in a slow-light silicon photonic crystal waveguide. Opt. Express 19, 20681–20690 (2011)

    Article  ADS  Google Scholar 

  • Ishizaka, Y., Kawaguchi, Y., Saitoh, K., Koshiba, M.: Design of optical XOR, XNOR, NAND, and OR logic gates based on multi-mode interference waveguides for binary-phase-shift-keyed signal. J. Lightwave Technol. 29, 2836–2846 (2011)

    Article  ADS  Google Scholar 

  • Li, L., Sun, J.: Theoretical investigation of phase-based all-optical logic gates based on AlGaAs microring resonators. J. Mod. Opt. 59, 1149–1153 (2012)

    Article  ADS  Google Scholar 

  • Li, F., Vo, T.D., Husko, C., Pelusi, M., Xu, D.X., Densmore, A., Ma, R., Janz, S., Eggleton, B.J., Moss, D.J.: All-optical XOR logic gate for 40 Gb/s DPSK signals via FWM in a silicon nanowire. Opt. Express 19, 20364–20371 (2011)

    Article  ADS  Google Scholar 

  • Liu, W., Yang, D., Shen, G., Tian, H., Ji, Y.: Design of ultra compact all-optical XOR, XNOR, NAND and OR gates using photonic crystal multi-mode interference waveguides. Opt. Laser Technol. 50, 55–64 (2013)

    Article  ADS  Google Scholar 

  • Mohammadnejad, S., Farrokhi Chaykandi, Z., Bahrami, A.: MMI-based simultaneous all-optical XOR–NAND–OR and XNOR–NOT multilogic gate for phase-based signals. IEEE J. Quantum Electron. 50, 1014–1018 (2014)

    Article  ADS  Google Scholar 

  • Wang, J., Sun, Q., Sun, J.: All-optical 40 Gbit/s CSRZ-DPSK logic XOR gate and format conversion using four-wave mixing. Opt. Express 17, 12555–12563 (2009)

    Article  ADS  Google Scholar 

  • Whang, A.J., Chao, S.M.: Multimode interference all-optical logic gates via partially nonlinear propagation region. Opt. Rev. 10, 346–351 (2003)

    Article  Google Scholar 

  • Wu, J.W., Sarma, A.K.: Ultrafast all-optical XOR logic gate based on a symmetrical Mach-Zehnder interferometer employing SOI waveguides. Opt. Commun. 283, 2914–2917 (2010)

    Article  ADS  Google Scholar 

  • Zhang, M., Wang, L., Peida, Y.: All-optical XOR logic gates: technologies and experiment demonstrations. IEEE Commun. Mag. 43, 19–24 (2005)

    Article  Google Scholar 

  • Zhangjian, L., Yao, Z., Baojun, L.: Terahertz photonic crystal switch in silicon based on self-imaging principle. Opt. Express 14, 3887–3892 (2006)

    Article  Google Scholar 

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Authors and Affiliations

  1. Electrical and Electronics Engineering Department, Nanoptronics Research Center, Iran University of Science and Technology, Tehran, Iran

    Zahra Farrokhi Chaykandi & Shahram Mohammadnejad

  2. Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran

    Ali Bahrami

Authors
  1. Zahra Farrokhi Chaykandi
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  2. Ali Bahrami
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  3. Shahram Mohammadnejad
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Correspondence to Ali Bahrami.

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Farrokhi Chaykandi, Z., Bahrami, A. & Mohammadnejad, S. MMI-based all-optical multi-input XOR and XNOR logic gates using nonlinear directional coupler. Opt Quant Electron 47, 3477–3489 (2015). https://doi.org/10.1007/s11082-015-0224-0

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  • DOI: https://doi.org/10.1007/s11082-015-0224-0

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