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Aiming at solving the problems of coupling between modes in a core and mode coupling between cores in few-mode multi-core fiber, a fiber with seven cores each with step index is proposed, and each core can support five modes. Each core has a central low refractive index region and a high refractive index ring to ensure that there is a large refractive index difference between modes in the core, so as to reduce the problem of mode coupling. The bending loss of central core and outer core, the crosstalk characteristics between modes and the influence of core parameters on crosstalk performance are simulated and analyzed by the finite element method. The simulation results show that at a wavelength of 1.55 μm and a bending radius of 50 mm, the bending loss of the proposed multi-core fiber is much lower than its attenuation loss, and the crosstalk between the adjacent cores of the five core modes are less than –20 dB/100 km. Therefore, this multi-core fiber can realize independent transmission of the core modes with long-distance under small bending radius.
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Keywords:
- few mode multi-core fiber /
- inter-core crosstalk /
- bending loss /
- mode field
[1] Richardson D J, Fini J M, Nelson L E 2013 Nat. Photonics 7 354Google Scholar
[2] Qian D, Huang M F, Huang Y K, Shao Y, Hu J, Wang T 2012 J. Lightwave Technol. 30 1540Google Scholar
[3] Chen H G, Morency S, Jin C, Gregoire N, Essiambre 2016 Nat. Photonics 10 529Google Scholar
[4] Mukasa K, Imamura K, Sugizaki R 2012 European Conference & Exhibition on Optical Communications Amsterdam, Netherlands, June 9, 2012 p1
[5] Igarashi K, Souma D, Wakayama Y, Takeshima K, Suzuki M 2015 Optical Fiber Communications Conference and Exhibition (OFC) Angeles, California, USA, March 22–26, 2015 pTH5C.4
[6] Shibahara K, Lee D, Kobayashi T, Mizuno T, Takara H, Sano A 2016 J. Lightwave Technol. 34 196Google Scholar
[7] Igarashi K, Soma D, Wakayama Y, Takeshima K, Kawaguchi Y, Yoshikane N, Tsuritani T, Morita I, Suzuki M 2016 Opt. Express 24 10213Google Scholar
[8] Kumar D, Ranjan R 2018 Opt. Fiber Technol. 41 95Google Scholar
[9] Xie Y, Pei L, Zheng J, Zhao Q, Ning T, Sun J 2019 Appl. Opt. 58 4373Google Scholar
[10] 刘诗男, 宁提纲, 马绍朔 2018 中国激光 45 1206001Google Scholar
Liu S N, Ning T G, Ma S S 2018 Chin. J. Lasers 45 1206001Google Scholar
[11] Chen S, Tong Y, Tian H 2020 Appl. Opt. 59 4634Google Scholar
[12] Chen X, Li M J, Koh J, Artuso A, Nolan D A 2007 Opt. Express 15 10629Google Scholar
[13] 郑斯文, 林桢, 任国斌, 简水生 2013 62 044224Google Scholar
Zheng S W, Lin Z, Ren G B, Jian S S 2013 Acta Phys. Sin. 62 044224Google Scholar
[14] Fini J M, Nicholson J W 2013 Opt. Express 21 19173Google Scholar
[15] Tsuchida Y, Saitoh K, Koshiba M 2005 Opt. Express 13 4770Google Scholar
[16] Zheng X, Ren G, Huang L, Li H, Zhu B, Zheng H, Cao M 2016 Appl. Opt. 55 2639Google Scholar
[17] Dablu K, Rakesh R 2020 Optoelectron. Lett. 16 126Google Scholar
[18] Farooque U, Singh D K, Ranjan R 2019 Opt. Quantum Electron. 51 371Google Scholar
[19] Zheng S, Ren G, Lin Z, Jian S 2013 Appl. Opt. 52 4541Google Scholar
[20] Ye F, Tu J, Saitoh K, Morioka T 2014 Opt. Express 22 23007Google Scholar
[21] Jaramillo-Avila B, Torres J M, Leon-Montiel R J, Rodriguez-Lara B M 2019 Sci. Rep. 9 15737Google Scholar
[22] Xie Y, Pei L, Zheng J 2020 Opt. Commun. 474 126155Google Scholar
[23] Koshiba M, Saitoh K, Takenaga K 2012 IEEE Photonics J. 4 1987Google Scholar
[24] Ce N X, Amezcua-Correa R, Bai N, Antonio-Lopez, E, Li G 2012 IEEE PTL 24 1914Google Scholar
[25] Sakaguchi J, Klaus W, Mendinueta J M D, Puttnam B J, Kobayashi T 2016 J. Lightwave Technol. 34 93Google Scholar
[26] Yusuke S A, Katsuhiro T, Shoichiro M, Kazuhiko A 2017 Opt. Fiber Technol. 35 19Google Scholar
[27] Xie Y, Pei L, Sun J, Zheng J, Li J J 2019 Opt. Fiber Technol. 53 102001Google Scholar
[28] Xie Y, Pei L, Zheng J, Zhao Q, Li J J 2020 Opt. Express 28 23806Google Scholar
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图 8 λ = 1550 nm,
$ \varLambda =45 $ μm时, 弯曲半径Rb与串扰的关系曲线 (a)中间纤芯中的LP01模式和外纤芯各模式的串扰; (b)中间纤芯中的LP11模式和外纤芯各模式的串扰; (c)中间纤芯中的LP21模式和外纤芯各模式的串扰; (d)中间纤芯中的LP02模式和外纤芯各模式的串扰; (e)中间纤芯中的LP31模和外纤芯的各模式的串扰Figure 8. Crosstalk curves for the multi-core optical fiber with λ = 1550 nm and Λ = 45 μm: (a) LP01 mode in the central core and the modes in the outer core; (b) LP11 mode in the central core and the modes in the outer core; (c) LP21 mode in the central core and the modes in the outer core; (d) LP02 mode in the central core and the modes in the outer core; (e) LP31 mode in the central core and the modes in the outer core.
图 9 芯间距
$ \varLambda $ 与串扰的关系曲线 (a)中间纤芯LP01模式与外纤芯 LP11模式; (b) 中间纤芯LP11模式与外纤芯 LP11模式; (c) 中间纤芯LP21模式与外纤芯 LP11模式; (d) 中间纤芯LP02模式与外纤芯 LP02模式; (e) 中间纤芯LP31模式与外纤芯 LP31模式Figure 9. Relation curves between core spacing Λ and crosstalk: (a) LP01 mode of the central core and LP11 mode of the outer core; (b) LP11 mode of the central core and LP11 mode of the outer core; (c) LP21 mode of the central core and LP11 mode of the outer core; (d) LP02 mode of the central core and LP02 mode of the outer core; (e) LP31 mode of the central core and LP31 mode of the outer core.
图 10 纤芯-包层折射率差与芯间串扰的关系 (a)中间纤芯中的LP01模和外纤芯各模式的串扰; (b)中间纤芯中的LP11模和外纤芯各模式的串扰; (c)中间纤芯中的LP21模和外纤芯各模式的串扰曲线; (d)中间纤芯中的LP02模和外纤芯各模式的串扰曲线; (e)中间纤芯中的LP31模和外纤芯的各模式之间的串扰
Figure 10. Relationship between core-cladding refractive index difference and inter-core crosstalk: (a) LP01 mode in the central core and modes in the outer core; (b) LP11 mode in the central core and modes in the outer core; (c) LP21 mode in the central core and modes in the outer core; (d) LP02 mode in the central core and modes in the outer core; (e) LP31 mode in the central core and modes in the outer core.
表 1 中间纤芯与外纤芯各模式之间的串扰
Table 1. Crosstalk between different modes of middle core and outer core.
XT/[dB·(100 km)–1] Core 2 LP11b LP11b LP21b LP21b LP31b LP31b Core 1 LP11b –92.84 –129.70 –125.62 –95.26 –118.93 –116.99 LP11b –124.63 –92.86 –99.26 –135.26 –123.78 –120.89 LP21b –79.30 –82.52 –63.70 –72.51 –90.05 –93.15 LP21b –60.43 –69.32 –71.89 –63.78 –89.96 –89.17 LP31b –33.35 –44.74 –46.39 –35.01 –28.76 –46.20 LP31b –41.08 –33.92 –34.12 –50.58 –49.63 –28.19 表 2 光纤性能对比
Table 2. Fiber performance comparison.
Year Number of fiber cores Structure of fiber core Cladding diameter/μm Bending radius/mm Bending loss Crosstalk/dB
(Transmission
distance)2012[24] 7 Hole-assisted 225 140 0.242 dB/km –60 (1 km) 2015[25] 36 Trench-assisted 200 140 0.001 dB/km –31 (5.5 km) 2017[26] 12 Trench-assisted 230 210 0.05 dB/100 turns –48 (500 km) 2019[27] 8 Differential inner-cladding 160 30 0.0049 dB/100 turns < –50 (100 km) 2020[28] 7 Hole-assisted 125 80 2.20 × 10–6 dB/m –32 (100 km) Our design 7 Ring-core structure 180 50 2.77 × 10–8 dB/m –116 (100 km) -
[1] Richardson D J, Fini J M, Nelson L E 2013 Nat. Photonics 7 354Google Scholar
[2] Qian D, Huang M F, Huang Y K, Shao Y, Hu J, Wang T 2012 J. Lightwave Technol. 30 1540Google Scholar
[3] Chen H G, Morency S, Jin C, Gregoire N, Essiambre 2016 Nat. Photonics 10 529Google Scholar
[4] Mukasa K, Imamura K, Sugizaki R 2012 European Conference & Exhibition on Optical Communications Amsterdam, Netherlands, June 9, 2012 p1
[5] Igarashi K, Souma D, Wakayama Y, Takeshima K, Suzuki M 2015 Optical Fiber Communications Conference and Exhibition (OFC) Angeles, California, USA, March 22–26, 2015 pTH5C.4
[6] Shibahara K, Lee D, Kobayashi T, Mizuno T, Takara H, Sano A 2016 J. Lightwave Technol. 34 196Google Scholar
[7] Igarashi K, Soma D, Wakayama Y, Takeshima K, Kawaguchi Y, Yoshikane N, Tsuritani T, Morita I, Suzuki M 2016 Opt. Express 24 10213Google Scholar
[8] Kumar D, Ranjan R 2018 Opt. Fiber Technol. 41 95Google Scholar
[9] Xie Y, Pei L, Zheng J, Zhao Q, Ning T, Sun J 2019 Appl. Opt. 58 4373Google Scholar
[10] 刘诗男, 宁提纲, 马绍朔 2018 中国激光 45 1206001Google Scholar
Liu S N, Ning T G, Ma S S 2018 Chin. J. Lasers 45 1206001Google Scholar
[11] Chen S, Tong Y, Tian H 2020 Appl. Opt. 59 4634Google Scholar
[12] Chen X, Li M J, Koh J, Artuso A, Nolan D A 2007 Opt. Express 15 10629Google Scholar
[13] 郑斯文, 林桢, 任国斌, 简水生 2013 62 044224Google Scholar
Zheng S W, Lin Z, Ren G B, Jian S S 2013 Acta Phys. Sin. 62 044224Google Scholar
[14] Fini J M, Nicholson J W 2013 Opt. Express 21 19173Google Scholar
[15] Tsuchida Y, Saitoh K, Koshiba M 2005 Opt. Express 13 4770Google Scholar
[16] Zheng X, Ren G, Huang L, Li H, Zhu B, Zheng H, Cao M 2016 Appl. Opt. 55 2639Google Scholar
[17] Dablu K, Rakesh R 2020 Optoelectron. Lett. 16 126Google Scholar
[18] Farooque U, Singh D K, Ranjan R 2019 Opt. Quantum Electron. 51 371Google Scholar
[19] Zheng S, Ren G, Lin Z, Jian S 2013 Appl. Opt. 52 4541Google Scholar
[20] Ye F, Tu J, Saitoh K, Morioka T 2014 Opt. Express 22 23007Google Scholar
[21] Jaramillo-Avila B, Torres J M, Leon-Montiel R J, Rodriguez-Lara B M 2019 Sci. Rep. 9 15737Google Scholar
[22] Xie Y, Pei L, Zheng J 2020 Opt. Commun. 474 126155Google Scholar
[23] Koshiba M, Saitoh K, Takenaga K 2012 IEEE Photonics J. 4 1987Google Scholar
[24] Ce N X, Amezcua-Correa R, Bai N, Antonio-Lopez, E, Li G 2012 IEEE PTL 24 1914Google Scholar
[25] Sakaguchi J, Klaus W, Mendinueta J M D, Puttnam B J, Kobayashi T 2016 J. Lightwave Technol. 34 93Google Scholar
[26] Yusuke S A, Katsuhiro T, Shoichiro M, Kazuhiko A 2017 Opt. Fiber Technol. 35 19Google Scholar
[27] Xie Y, Pei L, Sun J, Zheng J, Li J J 2019 Opt. Fiber Technol. 53 102001Google Scholar
[28] Xie Y, Pei L, Zheng J, Zhao Q, Li J J 2020 Opt. Express 28 23806Google Scholar
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