Abstract
The evolution characteristics of the degenerate four-wave mixing (DFWM) effect in the proposed tellurite photonic crystal fiber (PCF) are investigated systematically. The influence of the pitch distance and diameter-to-pitch ratio on the phase-matching condition is analyzed numerically. The effects of fiber length, signal wavelength, idler wavelength, initial pump power and initial signal power on the signal gain and idler conversion efficiency are investigated. Based on the DFWM occurring in the proposed tellurite PCF, the signal (anti-Stokes) wave is efficiently amplified and the idler (Stokes) wave is efficiently generated at the mid-infrared (mid-IR) waveband with the pump wavelength of 1.553 μm. The signal gain can be increased by increasing the initial pump power. The idler conversion efficiency can reach ~ 26%. The simulated results will be instructive for the experimental FWM process to generate mid-IR optical parametric oscillators.
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01 March 2019
After publication of the paper, the authors realized that the signal gain in Fig. 6b, d, f was calculated using Gs = 10ln[Ps(L)/Ps(0)].
References
Abdukerim, N., Li, L., Rochette, M.: Chalcogenide-based optical parametric oscillator at 2 mum. Opt. Lett. 41(18), 4364–4367 (2016). https://doi.org/10.1364/OL.41.004364
Agrawal, G.P.: Nonlinear Fiber Optics, 5th edn. Elsevier, Amsterdam (2013). https://doi.org/10.1016/b978-0-12-397023-7.00018-8
Barria, J.B., Roux, S., Dherbecourt, J.B., Raybaut, M., Melkonian, J.M., Godard, A., Lefebvre, M.: Microsecond fiber laser pumped, single-frequency optical parametric oscillator for trace gas detection. Opt. Lett. 38(13), 2165–2167 (2013). https://doi.org/10.1364/OL.38.002165
Ceoldo, D., Krupa, K., Tonello, A., Couderc, V., Modotto, D., Minoni, U., Millot, G., Wabnitz, S.: Second harmonic generation in multimode graded-index fibers: spatial beam cleaning and multiple harmonic sideband generation. Opt. Lett. 42(5), 971–974 (2017). https://doi.org/10.1364/OL.42.000971
Chen, L., Gao, W., Chen, L., Wang, P., Ni, C., Chen, X., Zhou, Y., Zhang, W., Hu, J., Liao, M., Suzuki, T., Ohishi, Y.: Numerical study on supercontinuum generation by different optical modes in AsSe2-As2S5 chalcogenide microstructured fiber. Appl. Opt. 57(3), 382–390 (2018). https://doi.org/10.1364/AO.57.000382
Cheng, H., Luo, Z., Ye, C., Huang, Y., Liu, C., Cai, Z.: Numerical modeling of mid-infrared fiber optical parametric oscillator based on the degenerated FWM of tellurite photonic crystal fiber. Appl. Opt. 52(3), 525–529 (2013). https://doi.org/10.1364/AO.52.000525
Cheng, T., Deng, D., Xue, X., Suzuki, T., Ohishi, Y.: Continuous-wave four-wave mixing in a single-mode tellurite fiber. Appl. Phys. Lett. 104(25), 251903 (2014). https://doi.org/10.1063/1.4884651
Cheng, T., Zhang, L., Xue, X., Deng, D., Suzuki, T., Ohishi, Y.: Broadband cascaded four-wave mixing and supercontinuum generation in a tellurite microstructured optical fiber pumped at 2 mum. Opt. Express 23(4), 4125–4134 (2015). https://doi.org/10.1364/OE.23.004125
Elu, U., Baudisch, M., Pires, H., Tani, F., Frosz, M.H., Köttig, F., Ermolov, A., St.J. Russell, P., Biegert, J.: High average power and single-cycle pulses from a mid-IR optical parametric chirped pulse amplifier. Optica 4(9), 1024–1029 (2017). https://doi.org/10.1364/optica.4.001024
Gao, W., Liao, M., Deng, D., Cheng, T., Suzuki, T., Ohishi, Y.: Raman comb lasing in a ring cavity with high-birefringence fiber loop mirror. Opt. Commun. 300, 225–229 (2013). https://doi.org/10.1016/j.optcom.2013.02.064
Grilli, R., Ciaffoni, L., Orr-Ewing, A.J.: Phase-shift cavity ring-down spectroscopy using mid-IR light from a difference frequency generation PPLN waveguide. Opt. Lett. 35(9), 1383–1385 (2010). https://doi.org/10.1364/OL.35.001383
Herzog, A., Shamir, A., Ishaay, A.A.: Wavelength conversion of nanosecond pulses to the mid-IR in photonic crystal fibers. Opt. Lett. 37(1), 82–84 (2012). https://doi.org/10.1364/OL.37.000082
Li, X., Chen, W., Xue, T., Gao, J., Gao, W., Hu, L., Liao, M.: Low threshold mid-infrared supercontinuum generation in short fluoride-chalcogenide multimaterial fibers. Opt. Express 22(20), 24179–24191 (2014). https://doi.org/10.1364/OE.22.024179
Li, Q., Liu, L., Jia, Z., Qin, G., Ohishi, Y., Qin, W.: Increased red frequency shift in coherent mid-infrared supercontinuum generation from tellurite microstructured fibers. J. Lightwave Technol. 35(21), 4740–4746 (2017). https://doi.org/10.1109/jlt.2017.2759183
Liao, M., Gao, W., Duan, Z., Yan, X., Suzuki, T., Ohishi, Y.: Directly draw highly nonlinear tellurite microstructured fiber with diameter varying sharply in a short fiber length. Opt. Express 20(2), 1141–1150 (2012). https://doi.org/10.1364/OE.20.001141
Liu, H.-B., Zhong, H., Karpowicz, N., Chen, Y., Zhang, X.-C.: Terahertz spectroscopy and imaging for defense and security applications. Proc. IEEE 95(8), 1514–1527 (2007). https://doi.org/10.1109/jproc.2007.898903
Marhic, M.E., Kagi, N., Chiang, T.-K., Kazovsky, L.G.: Broadband fiber optical parametric amplifiers. Opt. Lett. 21(8), 573–575 (1996). https://doi.org/10.1364/OL.21.000573
Marhic, M.E., Wong, K.K.-Y., Kazovsky, L.G.: Continuous-wave fiber optical parametric oscillator. Opt. Lett. 27(16), 1439–1441 (2002)
Moizan, V., Nazabal, V., Troles, J., Houizot, P., Adam, J.-L., Doualan, J.-L., Moncorgé, R., Smektala, F., Gadret, G., Pitois, S., Canat, G.: Er3+-doped GeGaSbS glasses for mid-IR fibre laser application: synthesis and rare earth spectroscopy. Opt. Mater. 31(1), 39–46 (2008). https://doi.org/10.1016/j.optmat.2008.01.005
Nodop, D., Jauregui, C., Schimpf, D., Limpert, J., Tünnermann, A.: Efficient high-power generation of visible and mid-infrared light by degenerate four-wave-mixing in a large-mode-area photonic-crystal fiber. Opt. Lett. 34(20), 3499–3501 (2009). https://doi.org/10.1364/OL.34.003499
Russell, P.S.J.: Photonic-crystal fibers. J. Lightwave Technol. 24(12), 4729–4749 (2006). https://doi.org/10.1109/jlt.2006.885258
Sharping, J.E., Fiorentino, M., Kumar, P.: Optical parametric oscillator based on four-wave mixing in microstructure fiber. Opt. Lett. 27(19), 1675–1677 (2002). https://doi.org/10.1364/OL.27.001675
Shen, S., Jha, A., Zhang, E., Wilson, S.J.: Compositional effects and spectroscopy of rare earths (Er3+, Tm3+, and Nd3+) in tellurite glasses. C. R. Chim. 5(12), 921–938 (2002)
Soibel, A., Wright, M.W., Farr, W.H., Keo, S.A., Hill, C.J., Yang, R.Q., Liu, H.C.: Midinfrared interband cascade laser for free space optical communication. IEEE Photonics Technol. Lett. 22(2), 121–123 (2010). https://doi.org/10.1109/lpt.2009.2036449
Tuan, T.H., Zhang, L., Suzuki, T., Ohishi, Y.: Wavelength conversion performance in a tellurite step-index optical fiber. Opt. Commun. 381, 282–285 (2016). https://doi.org/10.1016/j.optcom.2016.07.026
Waynant, R.W., Ilev, I.K., Gannot, I.: Mid-infrared laser applications in medicine and biology. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 359(1780), 635–644 (2001). https://doi.org/10.1098/rsta.2000.0747
Xing, S., Grassani, D., Kharitonov, S., Brilland, L., Caillaud, C., Trolès, J., Brès, C.-S.: Mid-infrared continuous-wave parametric amplification in chalcogenide microstructured fibers. Optica 4(6), 643–648 (2017). https://doi.org/10.1364/optica.4.000643
Xu, L., Chan, H.Y., Alam, S.U., Richardson, D.J., Shepherd, D.P.: High-energy, near- and mid-IR picosecond pulses generated by a fiber-MOPA-pumped optical parametric generator and amplifier. Opt. Express 23(10), 12613–12618 (2015). https://doi.org/10.1364/OE.23.012613
Yao, J., Zhang, B., Yin, K., Yang, L., Hou, J., Lu, Q.: Mid-infrared supercontinuum generation based on cascaded Raman scattering in a few-mode As2S3 fiber pumped by a thulium-doped fiber laser. Opt. Express 24(13), 14717–14724 (2016). https://doi.org/10.1364/OE.24.014717
Yuan, J., Sang, X., Wu, Q., Zhou, G., Yu, C., Wang, K., Yan, B., Han, Y., Farrell, G., Hou, L.: Efficient and broadband Stokes wave generation by degenerate four-wave mixing at the mid-infrared wavelength in a silica photonic crystal fiber. Opt. Lett. 38(24), 5288–5291 (2013). https://doi.org/10.1364/OL.38.005288
Zhang, L., Tuan, T.H., Kawamura, H., Nagasaka, K., Suzuki, T., Ohishi, Y.: Broadband fiber optical parametric amplifier formed by two pairs of four-wave mixing in a tellurite microstructured optical fiber. In: Optical Fiber Communication Conference. https://doi.org/10.1364/ofc.2016.m3d.2 (2016)
Zhang, L., Tuan, T.H., Kawamura, H., Suzuki, T., Ohishi, Y.: Optical parametric oscillator based on degenerate four-wave mixing in suspended core tellurite microstructured optical fiber. Opt. Express 23(20), 26299–26304 (2015). https://doi.org/10.1364/OE.23.026299
Acknowledgements
This work was supported by the National Natural Science Foundation of China (NSFC) (Grant Nos. 61875052, 11374084, 61307056 and 61475171). It was also supported by Japan Society for the Promotion of Science (JSPS) (15H02250 and 17K18891).
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Wang, P., Chen, L., Zhang, X. et al. Investigation on four-wave mixing toward mid-infrared waveband in tellurite photonic crystal fiber. Opt Quant Electron 50, 415 (2018). https://doi.org/10.1007/s11082-018-1680-0
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DOI: https://doi.org/10.1007/s11082-018-1680-0