Ultrafast All-Optical Reversible Peres and Feynman-Double Logic Gates with Silicon Microring Resonators

Chapter
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Part of the Lecture Notes in Computer Science book series (LNCS, volume 8911)

Abstract

We present designs of reversible Peres logic gate and Feynman-Double logic gate based on all-optical switching by two-photon absorption induced free-carrier injection in silicon add-drop microring resonators. The logic gates have been theoretically analyzed using time-domain coupled-mode theory and all-optical switching has been optimized for low-power (25 mW) ultrafast (25 ps) operation with high modulation depth (85 %) to enable logic operations at 40 Gb/s. The advantages of high Q-factor, tunability, compactness, cascadibility, reversibility and reconfigurability make the designs favorable for practical applications.

Keywords

All-optical switching Optical computing Microring resonator Directed logic Reversible logic Silicon photonics 
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Notes

Acknowledgment

P. S. is grateful to the University Grants Commission, Government of India for the award of UGC-BSR fellowship.

References

  1. 1.
    Priolo, F., Gregorkiewicz, T., Galli, M., Krauss, T.F.: Silicon nanostructures for photonics and photovoltaics. Nat. Nanotech. 9, 19–32 (2014)CrossRefGoogle Scholar
  2. 2.
    Jalali, B., Fathpour, S.: Silicon photonics. IEEE J. Lightwave Technol. 24, 4600–4615 (2006)CrossRefGoogle Scholar
  3. 3.
    Reed, G.T., Mashanovich, G., Gardes, F.Y., Thomson, D.J.: Silicon optical modulators. Nat. Photon. 4, 518–526 (2010)CrossRefGoogle Scholar
  4. 4.
    Moss, D.J., Morandotti, R., Gaeta, A.L., Lipson, M.: New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics. Nat. Photon. 7, 597–607 (2013)CrossRefGoogle Scholar
  5. 5.
    Heck, M.J.R., Bauters, J.F., Davenport, M.L., Doylend, J.K., Jain, S., Kurczveil, G., Srinivasan, S., Tang, Y., Bowers, J.E.: Hybrid silicon photonic integrated circuit technology. IEEE J. Sel. Top. Quant. Electron. 19, 6100117–6100134 (2012)CrossRefGoogle Scholar
  6. 6.
    Xu, Q., Soref, R.: Reconfigurable optical directed-logic circuits using microresonator-based optical switches. Opt. Exp. 19, 5244–5259 (2011)CrossRefGoogle Scholar
  7. 7.
    Zhang, L., Ding, J., Tian, Y., Ji, R., Yang, L., Chen, H., Zhou, P., Lu, Y., Zhu, W., Min, R.: Electro-optic directed logic circuit based on microring resonators for XOR/XNOR operations. Opt. Exp. 20, 11605–11614 (2012)CrossRefGoogle Scholar
  8. 8.
    Tian, Y.H., Zhang, L., Ji, R.Q., Yang, L., Zhou, P., Chen, H.T., Ding, J.F., Zhu, W.W., Lu, Y.Y., Jia, L.X., Fang, Q., Yu, M.B.: Proof of concept of directed OR/NOR and AND/NAND logic circuit consisting of two parallel microring resonators. Opt. Lett. 36, 1650–1652 (2011)CrossRefGoogle Scholar
  9. 9.
    Lin, S., Ishikawa, Y., Wada, K.: Demonstration of optical computing logics based on binary decision diagram. Opt. Exp. 20, 1378–1384 (2012)CrossRefGoogle Scholar
  10. 10.
    Landauer, R.: Irreversibility and heat generation in the computing process. IBM J. Res. Dev. 5, 183–191 (1961)CrossRefMATHMathSciNetGoogle Scholar
  11. 11.
    Bennett, C.H.: Logical reversibility of computation. IBM J. Res. Dev. 17, 525–532 (1973)CrossRefMATHGoogle Scholar
  12. 12.
    Maruyama, K., Nori, F., Vedral, V.: The physics of Maxwell’s demon and information. Rev. Mod. Phys. 81, 1–22 (2009)CrossRefMATHMathSciNetGoogle Scholar
  13. 13.
    Peres, A.: Reversible logic and quantum computers. Phys. Rev. A 32, 3266–3276 (1985)CrossRefMathSciNetGoogle Scholar
  14. 14.
    Fredkin, E., Toffoli, T.: Conservative logic. Int. J. Theor. Phys. 21(3–4), 219–253 (1982)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Huang, Y.-P., Kumar, P.: Interaction-free quantum optical Fredkin gates in χ2 microdisks. IEEE J. Quantum Electron. 18, 600–611 (2012)CrossRefGoogle Scholar
  16. 16.
    Fedorov, A., Steffen, L., Baur, M., Silva, M.P., Wallraff, A.: Implementation of a Toffoli gate with superconducting circuits. Nature 481, 170–172 (2011)CrossRefGoogle Scholar
  17. 17.
    Thapliyal, H., Ranganathan, N.: Design of reversible sequential circuits optimizing quantum cost, delay, and garbage outputs. ACM J. Emerg. Technol. Comput. Syst. (JETC) 6, 14–31 (2010)Google Scholar
  18. 18.
    Thapliyal, H., Ranganathan, N.: Reversible logic-based concurrently testable latches for molecular qca. IEEE Trans. Nanotechnol. 9, 62–69 (2010)CrossRefGoogle Scholar
  19. 19.
    Lipson, M.: Guiding, modulating, and emitting light on silicon-challenges and opportunities. J. Lightwave Technol. 23, 4222–4238 (2005)CrossRefGoogle Scholar
  20. 20.
    Bogaerts, W., De Heyn, P., Van Vaerenbergh, T., De Vos, K., Selvaraja, S.K., Claes, T., Dumon, P., Bienstman, P., Van Thourhout, D., Baets, R.: Silicon microring resonators. Laser Photon. Rev. 6, 47–73 (2012)CrossRefGoogle Scholar
  21. 21.
    Almeida, V.R., Barrios, C.A., Panepucci, R.R., Lipson, M.: All-optical control of light on a silicon chip. Nature 431, 1081–1084 (2004)CrossRefGoogle Scholar
  22. 22.
    Xu, Q., Schmidt, B., Pradhan, S., Lipson, M.: Micrometre-scale silicon electro-optic modulator. Nature 435, 325–327 (2005)CrossRefGoogle Scholar
  23. 23.
    Xu, Q., Lipson, M.: All-optical logic based on silicon micro-ring resonators. Opt. Exp. 15, 924–929 (2007)CrossRefGoogle Scholar
  24. 24.
    Preble, S.F., Xu, Q., Lipson, M.: Changing the color of light in a silicon resonator. Nat. Photon. 1, 293–296 (2007)CrossRefGoogle Scholar
  25. 25.
    Dong, P., Preble, S.F., Lipson, M.: All-optical compact silicon comb switch. Opt. Exp. 15, 9600–9605 (2007)CrossRefGoogle Scholar
  26. 26.
    Caulfield, H.J., Soref, R.A.: Universal reconfigurable optical logic with silicon-on-insulator resonant structures. Photonics Nanostruct. 5, 14–20 (2007)CrossRefGoogle Scholar
  27. 27.
    Sethi, P., Roy, S.: All-optical ultrafast adder/subtractor and MUX/DEMUX circuits with silicon microring resonators. In: Dolev, S., Oltean, M. (eds.) OSC 2012. LNCS, vol. 7715, pp. 42–53. Springer, Heidelberg (2013)CrossRefGoogle Scholar
  28. 28.
    Sethi, P., Roy, S.: All-optical ultrafast switching in 2 × 2 silicon microring resonators and its application to reconfigurable DEMUX/MUX and reversible logic gates. IEEE J. Lightw. Technol. 32, 2173–2180 (2014)CrossRefGoogle Scholar
  29. 29.
    Sethi, P., Roy, S.: Ultrafast all-optical flip-flops, simultaneous comparator-decoder and reconfigurable logic unit with silicon microring resonator switches. IEEE J. Sel. Top. Quantum. Electron. 20, 118–125 (2014)CrossRefGoogle Scholar
  30. 30.
    Manolatou, C., Lipson, M.: All-optical silicon modulators based on carrier injection by two-photon absorption. IEEE J. Lightwave Technol. 24, 1433–1439 (2006)CrossRefGoogle Scholar
  31. 31.
    Waldow, M., Plötzing, T., Gottheil, M., Först, M., Bolten, J., Wahlbrink, T., Kurz, H.: 25 ps all-optical switching in oxygen implanted silicon-on-insulator microring resonator. Opt. Exp. 16, 7693–7702 (2008)CrossRefGoogle Scholar
  32. 32.
    Chin, A., Lee, K.Y., Lin, B.C., Horng, S.: Picosecond photoresponse of carriers in Si ion-implanted Si. Appl. Phys. Lett. 69, 653–655 (1996)CrossRefGoogle Scholar
  33. 33.
    Guha, B., Kyotoku, B.B.C., Lipson, M.: CMOS-compatible athermal silicon microring resonators. Opt. Exp. 18, 3487–3493 (2010)CrossRefGoogle Scholar
  34. 34.
    Padmaraju, K., Chan, J., Chen, L., Lipson, M., Bergman, K.: Thermal stabilization of a microring modulator using feedback control. Opt. Exp. 20, 27999–28008 (2012)CrossRefGoogle Scholar
  35. 35.
    Turner, A.C., Foster, M.A., Gaeta, A.L., Lipson, M.: Ultra-low power parametric frequency conversion in a silicon microring resonator. Opt. Exp. 16, 4881–4887 (2008)CrossRefGoogle Scholar
  36. 36.
    Soref, R.A., Bennett, B.R.: Electrooptical effects in silicon. IEEE J. Quant. Electron. 23, 123–129 (1987)CrossRefGoogle Scholar
  37. 37.
    Roy, S., Prasad, M.: Novel proposal for all-optical Fredkin logic gate with bacteriorhodopsin-coated microcavity and its applications. Opt. Eng. 49, 065201–065210 (2010)CrossRefGoogle Scholar
  38. 38.
    Roy, S., Sethi, P., Topolancik, J., Vollmer, F.: All-optical reversible logic gates with optically controlled bacteriorhodopsin protein-coated microresonators. Adv. Opt. Technol. 2012, 727206–727212 (2012)CrossRefGoogle Scholar
  39. 39.
    Roy, S., Prasad, M., Topolancik, T., Vollmer, F.: All-optical switching with bacteriorhodopsin protein coated microcavities and its application to low power computing circuits. J. Appl. Phys. 107, 053115–053124 (2010)CrossRefGoogle Scholar
  40. 40.
    Roy, S., Prasad, M.: Design of all-optical reconfigurable logic unit with bacteriorhodopsin protein coated microcavity switches. IEEE Trans. Nanobiosci. 10, 160–171 (2011)CrossRefGoogle Scholar
  41. 41.
    Simos, H., Mesaritakis, C., Alexandropoulos, D., Syvridis, D.: Dynamic analysis of crosstalk performance in microring-based add/drop filters. IEEE J. Lightw. Technol. 27, 2027–2034 (2009)CrossRefGoogle Scholar
  42. 42.
    Lee, B.G., Biberman, A., Dong, P., Lipson, M., Bergman, K.: All-optical comb switch for multiwavelength message routing in silicon photonic networks. IEEE Photon. Technol. Lett. 20, 767–769 (2008)CrossRefGoogle Scholar
  43. 43.
    Nozaki, K., Tanabe, T., Shinya, A., Matsuo, S., Sato, T., Taniyama, H., Notomi, M.: Sub-femtojoule all-optical switching using a photonic-crystal nanocavity. Nat. Photonics 4, 477–483 (2010)CrossRefGoogle Scholar
  44. 44.
    Sederberg, S., Driedger, D., Nielsen, M., Elezzabi, A.Y.: Ultrafast all-optical switching in a silicon-based plasmonic nanoring resonator. Opt. Exp. 19, 23494–23503 (2011)CrossRefGoogle Scholar
  45. 45.
    Midrio, M., Boscolo, S., Moresco, M., Romagnoli, M., Angelis, C.D., Locatelli, A., Capobianco, A.D.: Graphene–assisted critically–coupled optical ring modulator. Opt. Exp. 20, 23144–23155 (2012)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Physics and Computer ScienceDayalbagh Educational InstituteAgraIndia

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