All-Optical Half Adder Based on a 2x2 Multimode Interference Coupler

  • Dao Duy Tu Hue University of Sciences, Hue, Vietnam
  • Linh Duc Tam Ho Hue University of Sciences, Hue, Vietnam
  • Dung Truong Cao The Posts and Telecommunications Institute of Technology, Hanoi, Vietnam
  • Hung Tan Nguyen The University of Danang - University of Science and Technology, Danang, Vietnam


In this paper, an all-optical logic gate based on 2x2 (MMI) multimode interference coupler is theoretically designed and simulated using three-dimensional beam propagation method (3D-BPM) and effective index method (EIM) to analyze and evaluate the performance of the device. The proposed device is used to convert phase information of input optical signals to amplitude at the output ports of MMI. With this mechanism, the device can operates as a logical half adder. Simulation results show that the optical half adder archives with insertion loss and extinction ratio from ON to OFF logic–level below 0.7 dB and over 40 dB, respectively. Furthermore, wide bandwidth of 100nm is also an advantage of this devices. Therefore, it can be applied to all optical signal processing in next generation optical networks as well as in photonics integrated circuits.


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[1] Z. Yin et al., “All-Optical Logic Gate for XOR Operation between 40-Gbaud QPSK Tributaries in an Ultra-Short Silicon Nanowire,” IEEE Photonics J., vol. 6, IEEE, 2014, 1-8.
[2] Y. Ishizaka, Y. Kawaguchi, and K. Saitoh, “Design of Optical XOR, XNOR, NAND, and OR Logic Gates Based on MultiMode Interference Waveguides for Binary-Phase-Shift-Keyed Signal,” J. Light. Technol., vol. 29, IEEE, 2011, 1-11.
[3] M. Khorasaninejad and S. S. Saini, “All-optical logic gate in silicon nanowire optical waveguides,” IET Circuits, vol. 5, Devices Syst., 2011, 1-8.
[4] Y. Fu, X. Hu, C. Lu, S. Yue, H. Yang, and Q. Gong, “All-Optical Logic Gates Based on Nanoscale Plasmonic Slot Waveguides,” Nano Lett., 2012, 1-7.
[5] Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of ultra-compact all-optical XOR and AND logic gates with low power consumption,” Opt. Commun., vol. 284, IEEE, 2011, 1-3.
[6] S. Zeng, Y. Zhang, B. Li, and E. Y. Pun, “Ultrasmall optical logic gates based on silicon periodic dielectric waveguides,” Photonics Nanostructures - Fundam. Appl., vol. 8, 2010, 1-6.
[7] Dhaval Fichadiya, Radhika Senjaliya, Vishal Sorathiya, “Silicon on insulator and directional coupler based all optical logic gates with single structure”, WOCN, 10, IEEE, 2015, 1-5.
[8] D. X. Dai and S. L. He, “Optimization of ultracompact polarization-insensitive multimode interference couplers based on ridge waveguides,” IEEE Photon. Technol. Lett., vol. 18, IEEE, 2006, 1-3.
[9] J. Xiao, X. Liu, and X. Sum, “Design of an ultracompact MMI wavelength demultiplexer in slot waveguide structures,” Opt. Exp., vol. 15, 2007.
[10] C. Vazquez, F.J. Mustieles and F. Hernandez-Gil, “Three-dimensional method for simulation of multimode interference couplers”, J. Light. Technol., vol. 13, IEEE, 1995, 1-4.
[11] R. Ulrich and G. Ankele, “Self-imaging in homogeneous planar optical waveguides,” Appl. Phys. Lett., vol. 27, 1975, 1-4.
[12] L. B. Soldano and E. C. M. Pennings, “Optical Multi-Mode Interference Devices Based on Self-Imaging: Principles and Applications,” J. Light. Technol., vol. 13, 1995, 1-13.
[13] M. Bachmann, P. A. Besse, and H. Melchior, "General self-imaging properties in N × N multimode interference couplers including phase relations," Appl. Opt., vol. 33, 1994, 1-7.
[14] P. A. Besse, M. Bachmann, H. Melchior, L. B. Soldano, and M. K. Smit, “Optical Bandwidth and Fabrication Tolerances of Multimode Interference Couplers,” J. Light. Technol., vol. 12, IEEE, 1994, 1-6.
How to Cite
DUY TU, Dao et al. All-Optical Half Adder Based on a 2x2 Multimode Interference Coupler. Journal of Science and Technology: Issue on Information and Communications Technology, [S.l.], v. 4, n. 1, p. 9-13, sep. 2018. ISSN 1859-1531. Available at: <>. Date accessed: 24 mar. 2023. doi: