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Concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal

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A new design for concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal ring resonator has been proposed. The finite different time domain and plane wave expansion methods are used to analyze the behavior of the structure. The ring resonator has a low switching time of about 0.85 ps and low switching power equal to \(277\,\text{ mW}/\upmu \text{m}^{2}\). The simulation results show that the contrast ratio is 12.78 dB for AND gate and 5.67 dB for XOR gate. Moreover, the operational wavelength of the input ports is \(1.55\,\upmu \text{m}\). Since the structure has a simple geometric shape with clear operating principle, it is potentially applicable for photonic integrated circuits.

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  • Andalib, P., Granpayeh, N.: All-optical ultra-compact photonic crystal NOR gate based on nonlinear ring resonators. J. Opt. A: Pure Appl. Opt. (2009a). doi:10.1088/1464-4258/11/8/085203

  • Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators. J. Opt. Soc. Am. B. 26, 10–16 (2009b)

    Article  ADS  Google Scholar 

  • Bai, J., Wang, J., Jiang, J., Chen, X., Li, H., Qiu, Y., Qiang, Z.: Photonic crystal NOT and NOR gates based on a single compact photonic crystal ring resonator. Appl. Opt. 48, 6923–6927 (2009)

    Article  ADS  Google Scholar 

  • Chattopadhyay, T.: Terahertz optical asymmetric demultiplexer (TOAD) based half-adder and using it to design all-optical flip-flop. Optik Int. J. ight Electron. Opt. 123, 1961–1964 (2012)

    Article  Google Scholar 

  • Chen, Z.: Simple novel all-optical half-adder. Opt. Eng. 49(4), 043201–043206 (2010)

    Article  ADS  Google Scholar 

  • Christina, X.S., Kabilan, A.P., Caroline, P.E.: Ultra fast computing using photonic crystal based logic gates. IJCSIS 8, 152–155 (2010)

    Google Scholar 

  • Danaie, M., Kaatuzian, H.: Design and simulation of an all-optical photonic crystal AND gate using nonlinear Kerr effect. Opt. Quant. Electron. 44, 27–34 (2011)

    Article  Google Scholar 

  • Freeman, D., Grillet, C., Lee, M.W., Smith, C.L.C., Ruan, Y., Rode, A., Krolikowska, M., Hanic, S.T., Sterke, C.M.D., Steel, M.J., Davies, B.L., Madden, S., Moss, D.J., Lee, Y., Eggleton, B.J.: Chalcogenide glass photonic crystals. Photonics Nanostruct. 6, 3–11 (2008)

    Article  ADS  Google Scholar 

  • Fujisawa, T., Koshiba, M.: All-optical logic gates based on nonlinear slot-waveguide couplers. J. Opt. Soc. Am. B 23, 684–691 (2006)

    Article  ADS  Google Scholar 

  • Gayen, D.K., Bhattachryya, A., Chattopadhyay, T., Roy, J.N.: Ultrafast all-optical half adder using quantum-dot semiconductor optical amplifier-based Mach–Zehnder interferometer. J. Lightw. Technol. 30(21), 3387–3393 (2012)

    Article  ADS  Google Scholar 

  • Houbavlis, T., Zoiros, K., Hatziefremidis, A., Avramopoulos, H., Occhi, L., Guekos, G., Hansmann, S., Burkhard, H., Dall’Ara, R.: 10 Gbit/s all-optical Boolean XOR with SOA fiber Sagnac gate. Electron. Lett. 35, 1650–1652 (1999)

    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(21), 20681–20690 (2011)

    Article  ADS  Google Scholar 

  • Ishizaka, Y., Kawaguchi, Y., Saitoh, K., Koshiba, M.: Design of all-optical XOR and AND logic gates based on multi-mode interference devices. In: International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), pp. 53–55, Sevastopol (2010)

  • Joannopoulos, J.D., Johnson, S.G., Winn, J.N., Meade, R.D.: Photonic Crystals Molding the Flow of Light. Princeton University, New Jersey (2008)

    MATH  Google Scholar 

  • Jung, Y.J., Yu, S., Koo, S., Yu, H., Han, S., Park, N., Kim, J.H., Jhon, Y.M., Lee, S.: Reconfigurable all-optical logic AND, NAND, OR, NOR, XOR and XNOR gates implemented by photonic crystal nonlinear cavities. In: Conference on Lasers & Electro Optics & The Pacific Rim Conference on Lasers and Electro-Optics, pp. 1–2, Shanghai (2009)

  • Kim, J.Y., Kang, J.M., Kim, T.Y., Han, S.K.: All-optical multiple logic gates with XOR, NOR, OR, and NAND functions using parallel SOA-MZI structures. Theory and experiment. J. Lightw. Tech. 24, 3392–3399 (2006)

    Article  ADS  Google Scholar 

  • Kim, H.S., Lee, T.K., Oh, G.Y., Choi, Y.W.: All-optical logic gate using asymmetric 2D photonic crystal MMI for multifunctional operation. In: Proceedings of the 15th OptoeElectronics and Communications Conference (OECC), pp. 696–697, Sapporo (2010)

  • Lee, S.G., Oh, S.S., Kim, J.E., Park, H.Y., Kee, C.S.: Line-defect-induced bending and splitting of self-collimated beams in two dimensional photonic crystal. Appl. Phys. Lett. 87, 181106–3 (2005)

    Article  ADS  Google Scholar 

  • Lee, K.Y., Lin, J.M., Yang, Y.C., Yang, Y.B., Wu, J.S., Huang, Y.T., Lin, Y.J., Lin, K.C., Lee, W.Y.: The designs of XOR logic gates based on photonic crystals. Optoelectron. Mater. Devices III (2008). doi:10.1117/12.803465

  • Liu, Q., Ouyang, Z., Wu, C.J., Liu, C.P., Wang, J.C.: All-optical half-adder based on cross structures in two-dimensional photonic crystals. Opt. Express 16(23), 18992–19000 (2008)

    Google Scholar 

  • Lourtioz, J.M., Benisty, H., Berger, V., Gerard, J.M., Maystre, D., Tchelnokov, A.: Photonic Crystals Towards Nanoscale Photonic Devices. Springer, Berlin (2008)

    MATH  Google Scholar 

  • Mansouri-Birjandi, M.A., Moravvej-Farshid, M.K., Rostami, A.: Ultrafast low threshold all-optical switch implemented by arrays of ring resonators coupled to a Mach–Zehnder interferometer arm based on 2D photonic crystals. Appl. Opt. 47, 5041–5050 (2008)

    Article  ADS  Google Scholar 

  • Miyoshi, Y., Ikeda, K., Tobioka, H., Inoue, T., Namiki, S., Kitayama, K.: Ultrafast all-optical logic gate using a nonlinear optical loop mirror based multi-periodic transfer function. Opt. Express 16, 2570–2577 (2008)

    Article  ADS  Google Scholar 

  • Ogusu, K., Yamasaki, J., Maeda, S., Kitao, M., Minakata, M.: Linear and nonlinear optical properties of Ag–As–Se chalcogenide glasses for all-optical switching. Opt. Lett. 29, 265–267 (2004)

    Article  ADS  Google Scholar 

  • Rahmati, A.T., Granpayeh, N.: Design and simulation of a switch based on nonlinear directional coupler. Optik 121, 1631–1634 (2010)

    Article  ADS  Google Scholar 

  • Soto, H., Díaz, C.A., Topomondzo, J., Erasme, D., Schares, L., Guekos, G.: All-Optical AND gate implementation using cross polarization modulation in a semiconductor optical amplifier. IEEE Photon. Technol. Lett. 14, 498–500 (2002)

    Article  ADS  Google Scholar 

  • Wang, J., Sun, J., Sun, Q.: Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation. Opt. Express 15(4), 1690–1699 (2007)

    Article  ADS  Google Scholar 

  • Wang, J., Sun, J., Sun, Q., Wang, D., Zhang, X., Huang, D., Fejer, M.M.: PPLN-based flexible optical logic AND gate. IEEE Photon. Tech. Lett. 20, 211–213 (2008)

    Article  ADS  Google Scholar 

  • Yanki, M.F., Fan, S., Soljačić, M., Joannopoulos, J.D.: All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry. Opt. Lett. 28, 2506–2508 (2003)

    Article  ADS  Google Scholar 

  • Zhang, Y., Zhang, Y., Li, B.: Optical switches and logic gates based on self- collimated beams in two-dimensional photonic crystals. Opt. Express 15, 9287–9292 (2007)

    Article  ADS  Google Scholar 

  • Zhao, D., Zhang, J., Yao, P., Jiang, X., Chen, X.: Photonic crystal Mach–Zehnder interferometer based on self-collimation. Appl. Phys. Lett. 90, 231114–231117 (2007)

    Article  ADS  Google Scholar 

  • Zhu, Z.H., Ye, W.M., Ji, J.R., Yuan, X.D., Zen, C.: High-contrast light-by-light switching and AND gate based on nonlinear photonic crystals. Opt. Express 14, 1783–1788 (2006)

    Article  ADS  Google Scholar 

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Correspondence to Mohammad Ali Mansouri-Birjandi.

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Ghadrdan, M., Mansouri-Birjandi, M.A. Concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal. Opt Quant Electron 45, 1027–1036 (2013).

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