Abstract
The properties of gratings with Kerr nonlinearity and PT symmetry are investigated in this paper. The impact of the gain and loss saturation on the response of the grating is analysed for different input intensities and gain/loss parameters. Potential applications of these gratings as switches, logic gates and amplifiers are also shown.
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Achilleos, V., Kevrekidis, P.G., Frantzeskakis, D.J., Carretero-González, R.: Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions. Phys. Rev. A. 86, 013808 (2012)
Aitchison, J.S., Hutchings, D.C., Kang, J.U., Stegeman, G.I., Villeneuve, a: The nonlinear optical properties of AlGaAs at the half band gap. IEEE J. Quantum Electron. 33, 341–348 (1997)
Bass, M., Li, G., van Stryland, E.: Handbook of Optics, vol. 4. McGraw Hill, New York (2010)
Brzozowski, L., Sargent, E.H.: Optical signal processing using nonlinear distributed feedback structures. IEEE J. Quantum Electron. 36, 550–555 (2000)
Chong, Y.D., Ge, L., Stone, aD: PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)
Christopoulos, C.: The Transmission-Line Modeling Method TLM. IEEE Press, Piscataway (1995)
Collin, R.E.: Field theory of Guided Waves. IEEE Press, New York (1991)
Feng, L., Xu, Y.-L., Fegadolli, W.S., Lu, M.-H., Oliveira, J.E.B., Almeida, V.R., Chen, Y.-F., Scherer, A.: Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108–113 (2013)
Feng, L., Wong, Z.J., Ma, R., Wang, Y., Zhang, X.: Parity-time synthetic laser. arXiv Prepr. arXiv:1405.2863 (2014)
Hagness, S.C., Joseph, R.M., Taflove, A.: Subpicosecond electrodynamics of distributed Bragg reflector microlasers: results from finite difference time domain simulations. Radio Sci. 31, 931–941 (1996)
Hodaei, H., Miri, M., Heinrich, M., Christodoulides, D.N., Khajavikhan, M.: PT-symmetric microring lasers: self-adapting broadband mode-selective resonators. arXiv Prepr. arXiv:1405.2103 (2014)
Hoefer, W.J.R.: The transmission-line matrix method-theory and applications. IEEE Trans. Microw. Theory Tech. 33, 882–893 (1985)
Janyani, V., Vukovic, A., Paul, J.: The development of TLM models for nonlinear optics. Microw. Rev. 10, 35–42 (2004)
Janyani, V., Vukovic, A., Paul, J.D., Sewell, P., Benson, T.M.: Time domain simulation in photonics: a comparison of nonlinear dispersive polarisation models. Opt. Quantum Electron. 37, 3–24 (2005)
Kulishov, M., Laniel, J.M., Bélanger, N., Azaña, J., Plant, D.V.: Nonreciprocal waveguide Bragg gratings. Opt. Express. 13, 3068–3078 (2005)
Lan, S., Gopal, A.V., Kanamoto, K., Ishikawa, H.: Ultrafast response of photonic crystal atoms with Kerr nonlinearity to ultrashort optical pulses. Appl. Phys. Lett. 84, 5124–5126 (2004)
Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011)
Makris, K.G., El-Ganainy, R., Christodoulides, D.N.: Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008)
Musslimani, Z., Makris, K., El-Ganainy, R., Christodoulides, D.N.: Optical solitons in PT periodic potentials. Phys. Rev. Lett. 100, 030402 (2008)
Nixon, S., Ge, L., Yang, J.: Stability analysis for solitons in PT-symmetric optical lattices. Phys. Rev. A. 85, 023822 (2012)
Paré, C., Villeneuve, A., Bélanger, P.-A., Doran, N.J.: Compensating for dispersion and the nonlinear Kerr effect without phase conjugation. Opt. Lett. 21, 459–461 (1996)
Paul, J., Christopoulos, C., Thomas, D.W.P.: Generalized material models in TLM. I. Materials with frequency-dependent properties. IEEE Trans. Antennas Propag. 47, 1528–1534 (1999)
Paul, J., Christopoulos, C., Thomas, D.W.P.: Generalized material models in TLM—part 3: materials with nonlinear properties. IEEE Trans. Antennas Propag. 50, 997–1004 (2002)
Peng, B., Özdemir, Ş.K., Lei, F., Monifi, F., Gianfreda, M., Long, G.L., Fan, S., Nori, F., Bender, C.M., Yang, L.: Parity-time-symmetric whispering-gallery microcavities. Nat. Phys. 10, 1–33 (2014)
Phang, S., Vukovic, A., Susanto, H., Benson, T., Sewell, P.: Time domain modeling of all-optical switch based on PT-symmetric Bragg grating. In: 29th Annual Review of Progress in Applied Computational Electromagnetics, pp. 693–698. Applied Computational Electromagnetics Society, Monterey, CA (2013a)
Phang, S., Vukovic, A., Susanto, H., Benson, T.M., Sewell, P.: Ultrafast optical switching using parity-time symmetric Bragg gratings. J. Opt. Soc. Am. B. 30, 2984–2991 (2013b)
Phang, S., Vukovic, A., Susanto, H., Benson, T.M., Sewell, P.: Impact of dispersive and saturable gain/loss on bistability of nonlinear parity-time Bragg gratings. Opt. Lett. 39, 2603–2606 (2014)
Ramezani, H., Kottos, T., El-Ganainy, R., Christodoulides, D.N.: Unidirectional nonlinear PT-symmetric optical structures. Phys. Rev. A. 82, 043803 (2010)
Regensburger, A., Bersch, C., Miri, M.-A., Onishchukov, G., Christodoulides, D.N., Peschel, U.: Parity-time synthetic photonic lattices. Nature 488, 167–171 (2012)
Rüter, C.E., Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Segev, M., Kip, D.: Observation of parity-time symmetry in optics. Nat. Phys. 6, 192–195 (2010)
Schindler, J., Lin, Z., Lee, J.M., Ramezani, H., Ellis, F.M., Kottos, T.: \({\cal PT}\)-symmetric electronics. J. Phys. A Math. Theor. 45, 444029 (2012)
Zhu, X., Feng, L., Zhang, P., Yin, X., Zhang, X.: One-way invisible cloak using parity-time symmetric transformation optics. Opt. Lett. 38, 2821–2824 (2013)
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Phang, S., Vukovic, A., Benson, T.M. et al. A versatile all-optical parity-time signal processing device using a Bragg grating induced using positive and negative Kerr-nonlinearity. Opt Quant Electron 47, 37–47 (2015). https://doi.org/10.1007/s11082-014-0012-2
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DOI: https://doi.org/10.1007/s11082-014-0012-2