Orbital Angular Momentum (OAM) based Mode Division Multiplexing (MDM) over a km-length Fiber
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1 Orbital Angular Momentum (OAM) based Mode Division Multiplexing (MDM) over a km-length Fiber N. Bozinovic, S. Ramachandran, Y. Yue, Y. Ren, A.E. Willner, M. Tur, P. Kristensen ECOC, September 20 th 2012
2 OAM multiplexing Space division multiplexing (SDM) Multi-core (Y. Sakaguchi et al., Proc. OFC, PDP5C.1, 2012) Few-core (R. Ryf et al., Proc. OFC, PDP5C.2, 2012). Few-mode (L. Gruner-Nielsen et al., Proc. OFC, PDP5A ). Orbital angular momentum (OAM) approach Free-space Fiber Can we apply OAM multiplexing concept in a fiber? Potential advantages: Easier MUX/DEMUX Low mode coupling low complexity MIMO Allan et al, Phys. Rev. A, vol. 45, p. 8185, G. Berkhout et al, PRL, v. 105, p. 8, P. Bierdz et al, Proc. CLEO, JTu3K, T. Su et al, OE, v. 20, p. 9396,
3 Modes of a step index fiber LP 11 o e TE 01 HE 21 HE 21 TM 01 OAM state S. Ramachandran et al. Optics Letters, vol. 34, p. 2525, 2009
4 Mode coupling o e TE 01 HE 21 HE 21 TM 01 Mode coupling 1 ~ neff R. Olshansky, Applied Optics, vol. 14, no. 4,
5 Mode coupling o e TE 01 HE 21 HE 21 TM 01 Step index multimode fiber Mode ~ coupling 1 n eff n eff TM 01 e HE 21 o HE 21 TE 01 n eff n eff LP 01 R. Olshansky, Applied Optics, vol. 14, no. 4,
6 Vortex fiber n eff Dn eff Vortex fiber n eff A eff (mm 2 ) D (ps/nm-km) Loss (db/km) (exp.) LP OAM S. Ramachandran et al. Optics Letters, vol. 34, p. 2525,
7 Mode conversion and Mux 1.1km vortex fiber Mux 7
8 Imaging 1.1km vortex fiber l = +1 s = +1 l = - 1 s = - 1 l = 0 s = +1 l = 0 s = -1 8
![Mode purity Intensity [pixel count] Normalized amplitude Azimuthal intensity profile for r 0 Source: ECL Dn = 100kHz) 2000 1500 1000 500 0 0 100 200 300 Angle ( o ) Data Fit 1 0.8 0.6 0.4 0.](/docs-images/95/126060002/images/9-1.jpg "2 Fourier coefficients OAM LP 01 TE/TM noise 0 DC cos(f) cos(2f) cos(3f) cos(4f) Cross-talk (db) Due to Mux Within 1h N. Bozinovic et al. Optics Letters, vol. 37, p. 2451, 2012.")
9 Mode purity Intensity [pixel count] Normalized amplitude Azimuthal intensity profile for r 0 Source: ECL Dn = 100kHz) Angle ( o ) Data Fit Fourier coefficients OAM LP 01 TE/TM noise 0 DC cos(f) cos(2f) cos(3f) cos(4f) Cross-talk (db) Due to Mux Within 1h N. Bozinovic et al. Optics Letters, vol. 37, p. 2451, Due to Mux + propagation 9
10 Demux Mux DeMux Rx 10
11 Demux Mux DeMux Rx 11
12 Demux Mux Rx SLM pattern OAM mode LP 01 mode 12
13 Cross-talk and multipath interference (MPI) Power (dbm) Power (dbm) All Modes on Mux DeMux Rx ptp Drift Cross-talk LP Multipath interference Time (s) Without the dominant mode Time (min) Mode A Mode B Ramachandran et al, IEEE Pho. Tech. Lett., vol. 15, p. 1171,
14 Cross-talk and multipath interference (MPI) Power (dbm) Power (dbm) All Modes on Mux DeMux Rx -20 Cross-talk OAM + - OAM LP + LP LP Time (s) Without the dominant mode Time (min) OAM + OAM + LP 01 LP 01 Cross-talk (db) MPI (db) Due to Mux + Propagation + Demux 14
15 Data transmission 50Gbaud NRZ-QPSK, l = 1550nm Single-mode case Mux OAM + OAM DeMux BER + LP 01 LP 01 B2B All-mode case 15
16 BER curves log 10 (BER) Single-mode case All-mode case Due to MPI 2.7dB 4.7dB FEC threshold Received power (dbm) b2b OAM + single OAM - single LP + single LP - single OAM OAM + LP - LP + Due to cross-talk - 16
17 Summary Successfully MUXed/DEMUXed multiple OAM states into a fiber <-20.8dB coupling cross-talk. Propagated OAM states over 1.1-km using vortex fiber crosstalk <-14.8dB multipath interference <-19.7dB Transmitted 50Gbaud QPSK data, at a single wavelength 1550nm, below FEC threshold, without using MIMO - total of 400Gb/s. Thank you 17
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