• Advanced Photonics Nexus
  • Vol. 2, Issue 1, 016004 (2023)
Lin Wang1、†, Xi Xiao2、3, Lu Xu3, Yifan Liu1, Yu Chen1, Yuan Yu1、4、*, and Xinliang Zhang1、4、*
Author Affiliations
  • 1Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics and School of Optical and Electronic Information, Wuhan, China
  • 2China Information and Communication Technologies Group Corporation, State Key Laboratory of Optical Communication Technologies and Networks, Wuhan, China
  • 3National Information Optoelectronics Innovation Center, Wuhan, China
  • 4Optics Valley Laboratory, Wuhan, China
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    DOI: 10.1117/1.APN.2.1.016004 Cite this Article Set citation alerts
    Lin Wang, Xi Xiao, Lu Xu, Yifan Liu, Yu Chen, Yuan Yu, Xinliang Zhang. On-chip tunable parity‐time symmetric optoelectronic oscillator[J]. Advanced Photonics Nexus, 2023, 2(1): 016004 Copy Citation Text show less

    Abstract

    Parity‐time (PT) symmetry breaking offers mode selection capability for facilitating single‐mode oscillation in the optoelectronic oscillator (OEO) loop. However, most OEO implementations depend on discrete devices, which impedes proliferation due to size, weight, power consumption, and cost. In this work, we propose and experimentally demonstrate an on-chip tunable PT‐symmetric OEO. A tunable microwave photonic filter, a PT‐symmetric mode‐selective architecture, and two photodetectors are integrated on a silicon‐on‐insulator chip. By exploiting an on‐chip Mach–Zehnder interferometer to match the gain and loss of two mutually coupled optoelectronic loops, single‐mode oscillation can be obtained. In the experiment, the oscillation frequency of the on-chip tunable PT‐symmetric OEO can be tuned from 0 to 20 GHz. To emulate the integrated case, the OEO loop length is minimized, and no extra-long fiber is used in the experiment. When the oscillation frequency is 13.67 GHz, the single‐sideband phase noise at 10-kHz offset frequency is -80.96 dBc / Hz and the side mode suppression ratio is 46 dB. The proposed on-chip tunable PT‐symmetric OEO significantly reduces the footprint of the system and enhances mode selection.
    ddt[AnBn]=[iωn+gniκniκniωn+αn][AnBn],

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    ωn(1,2)=ωn+ign+αn2±κn2(gnαn2)2.

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    ωn(1,2)=ωn±κn2gn2.

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    Δg=gngn+1.

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    ΔgPT=gn2gn+12.

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    F=ΔgPTΔg=gn+gn+1gngn+1.

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    gn=ln|Gmax2(1sinϕMZI)|Tr,

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    αn=ln|Gmax2(1+sinϕMZI)|Tr,

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    ϕMZI=±arccos2Gmax.

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    EPM(t)=E0exp(j2πfct)exp[jβcos(2πfmt)],

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    EPM(t)=E0·{J0(β)exp(j2πfct)+J1(β)exp[j2π(fc+fm)t]J1(β)exp[j2π(fcfm)t]},

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    EMRR(t)=E0·{J0(β)exp(j2πfct)+J1(β)exp[j2π(fc+fm)t]H(fcfm)J1(β)·exp[j2π(fcfm)t+jΦ(fcfm)]},

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    EMRR(t)=E0·{J0(β)exp(j2πfct)+J1(β)exp[j2π(fc+fm)t]}.

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    [Eupper(t)Elower(t)]=22[1jj1]·[100ejϕMZI]·22[11]·EMRR(t),=12[1+jejϕMZIj+ejϕMZI]EMRR(t),

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    [Vupper(t)Vlower(t)]=αloopGARRJ0(β)J1(β)|E0|2cos(ωmt)·[1sinϕMZI1+sinϕMZI],

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    G=Vout(t)Vin(t).

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    [GupperGlower]=Gmax2·[1sinϕMZI1+sinϕMZI],

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    Gmax=2παloopGARRJ0(β)J1(β)|E0|2Vπβ,

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    V(t)=V0ejωmt·egt,

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    V(t+Tr)=V0ejωmt·eg(t+Tr),

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    G=V(t+Tr)V(t)=eg·Tr.

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    g=ln|G|Tr.

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    gn=ln|Gmax2(1sinϕMZI)|Tr,

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    αn=ln|Gmax2(1+sinϕMZI)|Tr.

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    Lin Wang, Xi Xiao, Lu Xu, Yifan Liu, Yu Chen, Yuan Yu, Xinliang Zhang. On-chip tunable parity‐time symmetric optoelectronic oscillator[J]. Advanced Photonics Nexus, 2023, 2(1): 016004
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