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Optical and Quantum Electronics

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01-04-2019

Digital signal processing in coupled photonic crystal waveguides and its application to an all-optical AND logic gate

Authors: Vakhtang Jandieri, Tornike Onoprishvili, Ramaz Khomeriki, Daniel Erni, Jaromir Pistora

Published in: Optical and Quantum Electronics | Issue 4/2019

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Abstract

The realization of all-optical AND logic gates for pulsed signal operation based on the photonic bandgap transmission phenomenon is proposed. We are using realistic planar air-hole type coupled photonic crystal waveguides (C-PCWs) with Kerr-type nonlinear background medium. The novelty of our analysis is that the proposed AND logic gate operates with the temporal solitons, which maintain a stable envelope propagating in the nonlinear C-PCWs, enabling true ultrafast full-optical digital signal processing in the time-domain. The bandgap transmission takes place when the operating frequency is chosen at the very edge of the dispersion curve of one of the supermodes in the C-PCWs. In this regard, our original fast and accurate method is used to efficiently calculate the supermodes of the C-PCW system. The underlying semi-analytical full-wave modal analysis is based on the evaluation of the lattice sums for complex wavenumbers using the transition-matrix method in combination with the generalized reflection-matrix approach. As a proof of concept successful pulse operation of the all-optical AND logic gate is demonstrated in the framework of extensive full-wave finite-difference time-domain electromagnetics analysis.

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

Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal NOR gate based on nonlinear ring resonators. J. Opt. A: Pure Appl. Opt. 11, 085203 (2009b)ADSCrossRef

Baccarelli, P., Jandieri, V., Valerio, G., Schettini, G.: Efficient computation of the lattice sums for leaky waves using the Ewald method. In: Proceedings of the 11-th European Conference on Antennas and Propagation, Paris, France, 19–24 March, pp. 3222–3223 (2017)

Capolino, F., Wilton, D.R., Johnson, W.A.: Efficient computation of the 2-D Green’s function for 1-D periodic structures using the Ewald method. IEEE Trans. Antennas Propag. 53, 2977–2984 (2005)ADSMathSciNetCrossRef

Ewald, P.P.: Die Berechnung optischer und elektrostatischer gitterpotentiale. Ann. der Physik 369, 253–287 (1921)ADSCrossRef

Fu, Y., Hu, X., Gong, Q.: Silicon photonic crystal all-optical logic gates. Phys. Lett. A 377, 329–333 (2013)ADSCrossRef

Geniet, F., Leon, J.: Energy transmission in the forbidden band gap of a nonlinear chain. Phys. Rev. Lett. 89, 134102–134105 (2002)ADSCrossRef

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

Ishizaka, Y., Kawaguchi, Y., Saitoh, K., Koshiba, M.: Design of ultra-compact all-optical XOR and ANG logic gates with low power consumption. Opt. Commun. 284, 3528–3533 (2011)ADSCrossRef

Jandieri, V., Baccarelli, P., Valerio, G., Schettini, G.: 1-D Periodic lattice sums for complex and leaky waves in 2-D structures using higher-order Ewald formulation. In: IEEE Transaction on Antennas and Propagation. (in press)

Jandieri, V., Yasumoto, K.: Electromagnetic scattering by layered cylindrical arrays of circular rods. IEEE Trans. Antennas Propag. 59, 2437–2441 (2011)ADSMathSciNetCrossRef

Jandieri, V., Yasumoto, K., Pistora, J.: Coupled-Mode analysis of contra-directional coupling between two asymmetric photonic crystals waveguides. J. Opt. Soc. Am. A 31, 518–523 (2014)ADSCrossRef

Jandieri, V., Khomeriki, R., Erni, D., Chew, W.C.: Realization of all-optical digital amplification in coupled nonlinear photonic crystal waveguides. Progress Electromagn. Res. 158, 63–72 (2017)CrossRef

Jandieri, V., Baccarelli, P., Ponti, C., Schettini, G.: Full-wave analysis of leaky modes in 2-D EBG waveguides. In: Proceedings of the 11-th European Conference on Antennas and Propagation, Paris, France, 19–24 March, pp. 3224-3225 (2017b)

Jandieri, V., Baccarelli, P., Valerio, G., Ceccuzzi, S., Ponti, C., Schettini, G.: Efficient and rigorous analysis of leaky modes in 2-D EBG guiding structures. Proceedings of the 19-th International Conference on Electromagnetics in Advanced Applications, Verona, Italy, 11–15 September, pp. 444–445 (2017c)

Jandieri, V., Khomeriki, R., Erni, D.: Realization of true all-optical AND logic gate based on the nonlinear coupled air-hole type photonic crystal waveguide. Opt. Express 26(16), 19845–19853 (2018a)ADSCrossRef

Jandieri, V., Khomeriki, R., Erni, D., Chew, W. C.: All-optical digital amplification in nonlinear photonic crystal waveguides. In: Proceedings of XXVI Int. Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM 2018), April 13–14, Session O-6: ‘Nonlinear Photonics’, paper O-6.3, 52, Bad Sassendorf, Germany (2018b)

Jandieri, V., Khomeriki, R., Erni, D.: Realization of true all-optical AND logic gate based on nonlinear coupled air-hole type photonic crystal waveguides. In: Proceedings of the 12th European Conference on Antennas and Propagation (EuCAP 2018), April 9–13, London, UK, Session CS40: ‘Electromagnetic methods for direct and inverse scattering involving stratified media’, paper CS40.2 (2018c)

Kappeler, R.: Reducing the propagation losses of slab photonic crystal waveguides for active photonic devices. Diss. ETH Zürich, No. 20485, Zürich, July, (2012)

Khomeriki, R.: Nonlinear bandgap transmission in optical waveguide arrays. Phys. Rev. Lett. 92, 063905–063908 (2004)ADSCrossRef

Khomeriki, R., Chotorlishvili, L., Malomed, B., Berakdar, J.: Creation and amplification of electromagnon solitons by electric field in nanostructured multiferroics. Phys. Rev. B. 91, 041408(R) (2015)ADSCrossRef

Krauss, T.: Slow light in photonic crystal waveguides. J. Phys. D Appl. Phys. 40, 2666–2670 (2007)ADSCrossRef

Leuthold, J., Koos, C., Freude, W.: Nonlinear silicon photonics. Nat. Photon. 4, 535–544 (2010)ADSCrossRef

Linton, C.M., Thompson, I.: One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation. J. Comput. Phys. 228, 1815–1829 (2009)ADSMathSciNetCrossRef

Malishava, M., Khomeriki, R.: All-Phononic digital transistor on the basis of gap-soliton dynamics in an anharmonic oscillator ladder. Phys. Rev. Lett. 115, 104301 (2015)ADSCrossRef

Monat, C., Corcoran, B., Pudo, D., Ebnali-Heidari, M., Grillet, C., Pelusi, M., Moss, D., Eggleton, B., White, T., Krauss, T.: Slow light enhanced nonlinear optics in silicon photonic crystal waveguides. IEEE J. Sel. Top. Quantum Electron. 16, 344–356 (2010)ADSCrossRef

Nicorovici, N.A., McPhedran, R.C.: Lattice sums for off-axis electromagnetic scattering by gratings. Phys. Rev. E 50, 3143–3160 (1994)ADSCrossRef

Qiu, M., Azizi, K., Karlsson, A., Swillo, M., Jaskorzynska, B.: Numerical studies of mode gaps and coupling efficiency for line-defect waveguides in two-dimensional photonic crystals. Phys. Rev. B 64, 155113–155117 (2001)ADSCrossRef

Rani, P., Fatima, S., Kalra, Y., Sinha, R.K.: Realization of all optical logic gates using universal NAND gates on photonic crystal platform. Superlattices Microstruct. 109, 619–625 (2017)ADSCrossRef

Strasser, P., Flückiger, R., Wüest, R., Robin, F., Jäckel, H.: InP-based compact photonic crystal directional coupler with large operation range. Opt. Express 15, 8472–8478 (2007)ADSCrossRef

Taflove, A.: Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House, Norwood (1995)MATH

Tanaka, Y., Nakamura, H., Sugimoto, Y., Ikeda, N., Asakawa, K., Inoue, K.: Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes. IEEE J. Quantum Electron. 41, 76–84 (2005)ADSCrossRef

Valerio, G., Baccarelli, P., Burghignoli, P., Galli, A.: Comparative analysis of acceleration techniques for 2-D and 3-D Green’s functions in periodic structures along one and two directions. IEEE Trans. Antennas Propag. 55, 1630–1643 (2007)ADSMathSciNetCrossRef

Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)ADSCrossRef

Yasumoto, K.: Electromagnetic Theory and Applications for Photonic Crystals. CRC Press, Boca Raton (2005)CrossRef

Yasumoto, K., Yoshitomi, K.: Efficient calculation of lattice sums for free-space periodic Green’s function. IEEE Trans. Antennas Propag. 47, 1050–1055 (1999)ADSCrossRef

Yasumoto, K., Toyama, H., Kushta, T.: Accurate analysis of two-dimensional electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique. IEEE Trans. Antennas Propag. 52, 2603–2611 (2004)ADSMathSciNetCrossRef

Yasumoto, K., Jandieri, V., Liu, Y.: Coupled-Mode formulation of two-parallel photonic crystal waveguides. J. Opt. Soc. Am. A 30, 96–101 (2013)ADSCrossRef

Title: Digital signal processing in coupled photonic crystal waveguides and its application to an all-optical AND logic gate
Authors: Vakhtang Jandieri
Tornike Onoprishvili
Ramaz Khomeriki
Daniel Erni
Jaromir Pistora
Publication date: 01-04-2019
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 4/2019
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-019-1833-9

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