Tunable terahertz wave difference frequency generation in a graphene/AlGaAs surface plasmon waveguide

Tao Chen; Liangling Wang; Lijuan Chen; Jing Wang; Haikun Zhang; Wei Xia

doi:10.1364/PRJ.6.000186

[1] K. S. Novoselov, V. I. Fal’Ko, L. Colombo, P. R. Gellert, M. G. Schwab, K. Kim. A roadmap for graphene. Nature, 490, 192-200(2012).

[2] Z. Sun, T. Hasan, F. Torrisi, D. Popa, G. Privitera, F. Wang, F. Bonaccorso, D. M. Basko, A. C. Ferrari. Graphene mode-locked ultrafast laser. ACS Nano, 4, 803-810(2010).

[3] S. Liu, Z. Li, Y. Ge, H. Wang, R. Yue, X. Jiang, J. Li, Q. Wen, H. Zhang. Graphene/phosphorene nano-heterojunction: facile synthesis, nonlinear optics, and ultrafast photonics applications with enhanced performance. Photon. Res., 5, 662-668(2017).

[4] Q. Bao, H. Zhang, B. Wang, Z. Ni, C. H. Y. X. Lim, Y. Wang, D. Y. Tang, K. P. Loh. Broadband graphene polarizer. Nat. Photonics, 5, 411-415(2011).

[5] Y. Wu, B. C. Yao, A. Q. Zhang, X. L. Cao, Z. G. Wang, Y. J. Rao, Y. Gong, W. Zhang, Y. F. Chen, K. S. Chiang. Graphene-based D-shaped fiber multicore mode interferometer for chemical gas sensing. Opt. Lett., 39, 6030-6033(2014).

[6] M. Liu, X. Yin, X. Zhang. Double-layer graphene optical modulator. Nano Lett., 12, 1482-1485(2012).

[7] L. Luo, K. Wang, C. Ge, K. Guo, F. Shen, Z. Yin, Z. Guo. Actively controllable terahertz switches with graphene-based nongroove gratings. Photon. Res., 5, 604-611(2017).

[8] T. Mueller, F. Xia, P. Avouris. Graphene photodetectors for high-speed optical communications. Nat. Photonics, 4, 297-301(2010).

[9] H. Zhou, T. Gu, J. F. Mcmillan, N. Petrone, A. V. D. Zande, J. C. Hone, M. Yu, G. Lo, D. L. Kwong, G. Feng. Enhanced four-wave mixing in graphene-silicon slow-light photonic crystal waveguides. Appl. Phys. Lett., 105, 091111(2014).

[10] L. Ren, Q. Zhang, J. Yao, Z. Sun, R. Kaneko, Z. Yan, S. Nanot, Z. Jin, I. Kawayama, M. Tonouchi. Terahertz and infrared spectroscopy of gated large-area graphene. Nano Lett., 12, 3711-3715(2012).

[11] A. N. Grigorenko, M. Polini, K. S. Novoselov. Graphene plasmonics. Nat. Photonics, 6, 749-758(2012).

[12] H. Lu, X. Gan, D. Mao, J. Zhao. Graphene-supported manipulation of surface plasmon polaritons in metallic nanowaveguides. Photon. Res., 5, 162-167(2017).

[13] M. Jablan, M. Soljačić, H. Buljan. Plasmons in graphene: fundamental properties and potential applications. Proc. IEEE, 101, 1689-1704(2013).

[14] A. Vakil, N. Engheta. Transformation optics using graphene. Science, 332, 1291-1294(2011).

[15] C. Zhao, D. Mao, J. Zhao, L. Han, L. Fang, X. Gan, Y. Wang. Graphene-assisted all-fiber phase shifter and switching. Optica, 2, 468-471(2015).

[16] F. Xie, H. J. Li, J. P. Liu, L. L. Wang, S. X. Xia, X. Zhai, X. Luo, X. J. Shang. Graphene-based long-range SPP hybrid waveguide with ultra-long propagation length in mid-infrared range. Opt. Express, 24, 5376-5386(2016).

[17] L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen. Graphene plasmonics for tunable terahertz metamaterials. Nat. Nanotechnol., 6, 630-634(2011).

[18] C. H. Gan. Analysis of surface plasmon excitation at terahertz frequencies with highly doped graphene sheets via attenuated total reflection. Appl. Phys. Lett., 101, 111609(2012).

[19] T. J. Constant, S. M. Hornett, D. E. Chang, E. Hendry. All-optical generation of surface plasmons in graphene. Nat. Phys., 12, 124-127(2016).

[20] X. He, S. Kim. Graphene-supported tunable waveguide structure in the terahertz regime. J. Opt. Soc. Am. B, 30, 2461-2468(2013).

[21] X. Zhou, T. Zhang, L. Chen, W. Hong, X. Li. A graphene-based hybrid plasmonic waveguide with ultra-deep subwavelength confinement. J. Lightwave Technol., 32, 4199-4203(2014).

[22] W. Xu, Z. H. Zhu, K. Liu, J. F. Zhang, X. D. Yuan, Q. S. Lu, S. Q. Qin. Dielectric loaded graphene plasmon waveguide. Opt. Express, 23, 5147-5153(2015).

[23] M. Tonouchi. Cutting-edge terahertz technology. Nat. Photonics, 1, 97-105(2007).

[24] A. Barh, B. M. A. Rahman, B. P. Pal, G. P. Agrawal, R. K. Varshney. Plastic fiber design for THz generation through wavelength translation. Opt. Lett., 40, 2107-2110(2015).

[25] Y. Sun, G. Qiao, G. Sun. Direct generation of graphene plasmonic polaritons at THz frequencies via four wave mixing in the hybrid graphene sheets waveguides. Opt. Express, 22, 27880-27891(2014).

[26] Y. Takushima, S. Shin, Y. C. Chung. Design of a LiNbO₃ ribbon waveguide for efficient difference-frequency generation of terahertz wave in the collinear configuration. Opt. Express, 15, 14783-14792(2007).

[27] Y. Huang, T. Wang, Y. Lin, C. Lee, M. Chuang, Y. Lin, F. Lin. Forward and backward THz-wave difference frequency generations from a rectangular nonlinear waveguide. Opt. Express, 19, 24577-24582(2011).

[28] Y. H. Avetisyan. Terahertz-wave surface-emitted difference-frequency generation without quasi-phase-matching technique. Opt. Lett., 35, 2508-2510(2010).

[29] C. M. Staus, T. F. Kuech, L. McCaughan. AlxGa_1−xAs nested waveguide heterostructures for continuously phase-matched terahertz difference frequency generation. Opt. Express, 18, 2332-2338(2010).

[30] T. Chen, J. Sun, L. Li, J. Tang. Proposal for efficient terahertz-wave difference frequency generation in an AlGaAs photonic crystal waveguide. J. Lightwave Technol., 30, 2156-2162(2012).

[31] Z. Ruan, G. Veronis, K. L. Vodopyanov, M. M. Fejer, S. Fan. Enhancement of optics-to-THz conversion efficiency by metallic slot waveguides. Opt. Express, 17, 13502-13515(2009).

[32] Y. Ge, J. Cao, Z. Shen, Y. Zheng, X. Chen, W. Wan. Terahertz wave generation by plasmonic-enhanced difference-frequency generation. J. Opt. Soc. Am. B, 31, 1533-1538(2014).

[33] S. Rao, K. Moutzouris, M. Ebrahimzadeh, A. De Rossi, G. Gintz, M. Calligaro, V. Ortiz, V. Berger. Influence of scattering and two-photon absorption on the optical loss in GaAs–A₂O₃ nonlinear waveguides measured using femtosecond pulses. IEEE J. Quantum. Electron., 39, 478-486(2003).

[34] J. Ota, W. Narita, I. Ohta, T. Matsushita, T. Kondo. Fabrication of periodically-inverted AlGaAs waveguides for quasi-phase-matched wavelength conversion at 1.55 μm. Jpn. J. Appl. Phys., 48, 04C110(2009).

[35] E. D. Palik. Handbook of Optical Constants of Solids(1985).

[36] M. Pu, L. Ottaviano, E. Semenova, K. Yvind. Efficient frequency comb generation in AlGaAs-on-insulator. Optica, 3, 823-826(2016).

[37] T. W. Kim, T. Matsushita, T. Kondo. Phase-matched second-harmonic generation in thin rectangular high-index-contrast AlGaAs waveguides. Appl. Phys. Express, 4, 082201(2011).

[38] Z. Fei, M. D. Goldflam, J. S. Wu, S. Dai, M. Wagner, A. S. Mcleod, M. K. Liu, K. W. Post, S. Zhu, G. C. A. M. Janssen. Edge and surface plasmons in graphene nanoribbons. Nano Lett., 15, 8271-8276(2015).

[39] C. T. Phare, Y. H. D. Lee, J. Cardenas, M. Lipson. Graphene electro-optic modulator with 30 GHz bandwidth. Nat. Photonics, 9, 511-514(2015).

[40] J. Wang, J. Sun, Q. Sun. Proposal for all-optical format conversion based on a periodically poled lithium niobate loop mirror. Opt. Lett., 32, 1477-1479(2007).

[41] P. Y. Chen, A. Alù. Atomically thin surface cloak using graphene monolayers. ACS Nano, 5, 5855-5863(2011).

[42] M. Liu, X. Yin, E. Ulin-Avila, B. Geng, T. Zentgraf, L. Ju, F. Wang, X. Zhang. A graphene-based broadband optical modulator. Nature, 474, 64-67(2011).

[43] F. H. L. Koppens, D. E. Chang, F. J. G. D. Abajo. Graphene plasmonics: a platform for strong light-matter interactions. Nano Lett., 11, 3370-3377(2011).

[44] G. Agrawal. Nonlinear Fiber Optics(2007).

[45] L. Ottaviano, M. Pu, E. Semenova, K. Yvind. Low-loss high-confinement waveguides and microring resonators in AlGaAs-on-insulator. Opt. Lett., 41, 3996-3999(2016).

[46] Z. Fei, A. S. Rodin, G. O. Andreev, W. Bao, A. S. Mcleod, M. Wagner, L. M. Zhang, Z. Zhao, M. Thiemens, G. Dominguez. Gate-tuning of graphene plasmons revealed by infrared nano-imaging. Nature, 487, 82-85(2012).

[47] K. Bolotin, K. Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, H. Stormer. Ultrahigh electron mobility in suspended graphene. Solid State Commun., 146, 351-355(2008).