• Photonics Research
  • Vol. 11, Issue 2, 337 (2023)
Yuan Yuan*, Wayne V. Sorin, Di Liang, Stanley Cheung, Yiwei Peng, Mudit Jain, Zhihong Huang, Marco Fiorentino, and Raymond G. Beausoleil
Author Affiliations
  • Hewlett Packard Labs, Hewlett Packard Enterprise, Milpitas, California 95035, USA
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    DOI: 10.1364/PRJ.475384 Cite this Article Set citation alerts
    Yuan Yuan, Wayne V. Sorin, Di Liang, Stanley Cheung, Yiwei Peng, Mudit Jain, Zhihong Huang, Marco Fiorentino, Raymond G. Beausoleil. Mechanisms of enhanced sub-bandgap absorption in high-speed all-silicon avalanche photodiodes[J]. Photonics Research, 2023, 11(2): 337 Copy Citation Text show less
    Schematic diagram of the Ge-free MRR APD.
    Fig. 1. Schematic diagram of the Ge-free MRR APD.
    (a) Measured normalized transmission spectrum at zero bias voltage. (b) Schematic of an MRR device. (c) Simulated coupling coefficient with the 1310 nm TE mode light [38].
    Fig. 2. (a) Measured normalized transmission spectrum at zero bias voltage. (b) Schematic of an MRR device. (c) Simulated coupling coefficient with the 1310 nm TE mode light [38].
    Simulated (a) electric field and (b) energy band diagrams of the Si PN junction at different bias voltages.
    Fig. 3. Simulated (a) electric field and (b) energy band diagrams of the Si PN junction at different bias voltages.
    Measured 2D colormaps of responsivity versus reverse-bias voltage and wavelength with bus WG power at (a) −4.5 dBm, (b) 1.5 dBm, and (c) 6.5 dBm.
    Fig. 4. Measured 2D colormaps of responsivity versus reverse-bias voltage and wavelength with bus WG power at (a) 4.5  dBm, (b) 1.5 dBm, and (c) 6.5 dBm.
    Measured (a) total and dark currents, (b) wavelength, and (c) responsivity at resonance with bus WG power at −4.5, 1.5, and 6.5 dBm, respectively.
    Fig. 5. Measured (a) total and dark currents, (b) wavelength, and (c) responsivity at resonance with bus WG power at 4.5, 1.5, and 6.5 dBm, respectively.
    Measured and fitted photocurrent and responsivity versus bus WG power at reverse bias of (a), (b) −4 V and (c), (d) −6.4 V.
    Fig. 6. Measured and fitted photocurrent and responsivity versus bus WG power at reverse bias of (a), (b) 4  V and (c), (d) 6.4  V.
    (a) Simulated avalanche gain versus bias voltage at 0.1 mW. (b) Fitted avalanche gain versus optical power at −6.4 V.
    Fig. 7. (a) Simulated avalanche gain versus bias voltage at 0.1 mW. (b) Fitted avalanche gain versus optical power at 6.4  V.
    (a) Measured S11 response of the MRR APD at bias voltage of −3 V, −6 V, and −6.4 V. (b) Measured and fitted S11, (c) equivalent circuit, and (d) frequency response of the equivalent circuit at bias voltage of −6 V.
    Fig. 8. (a) Measured S11 response of the MRR APD at bias voltage of 3  V, 6  V, and 6.4  V. (b) Measured and fitted S11, (c) equivalent circuit, and (d) frequency response of the equivalent circuit at bias voltage of 6  V.
    (a) Measured O-E S21 response at resonance. Measured eye diagrams of (b) 80 Gb/s NRZ and (c) 100 Gb/s PAM4 modulations with 6.5 dBm optical power in the bus WG at bias voltage of −6.4 V.
    Fig. 9. (a) Measured O-E S21 response at resonance. Measured eye diagrams of (b) 80 Gb/s NRZ and (c) 100 Gb/s PAM4 modulations with 6.5 dBm optical power in the bus WG at bias voltage of 6.4  V.
    Calculated responsivity of the all-Si straight waveguide with 1 mW input optical power at −6.4 V.
    Fig. 10. Calculated responsivity of the all-Si straight waveguide with 1 mW input optical power at 6.4  V.
    SymbolMeaningValueUnit
    RResponsivity\A/W
    REResonance enhancement11.6to12.7\
    MAvalanche gain\\
    ηOne round-trip internal quantum efficiency\\
    PiOptical power in the input port bus WG\mW
    PrOptical power in the ring WG\mW
    δcTotal cavity loss coefficient0.21  to0.22\
    δκCoupling loss coefficient0.14\
    δrRing propagation loss coefficient0.07\
    a, bGain fitting parameters0.17, 4.56\
    αlEffective loss absorption coefficient19.25cm1
    αpPhotocurrent generated absorption coefficient\cm1
    Γ·αtOptical mode confinement factor within the depletion region2.64 (at 6.4  V)cm1
    × photon-assisted tunneling absorption coefficient0.275 (at 4  V)
    α2Two-photon absorption coefficient\cm1
    β2Two-photon absorption coefficient constant0.9cm/GW
    αtotTotal absorption coefficient\cm1
    LEffective PN junction length3.77×103cm
    AEffective ring WG cross section area1.1×109cm2
    Table 1. Symbol Meanings, Values, and Units for the MRR APD Absorption Model
    Yuan Yuan, Wayne V. Sorin, Di Liang, Stanley Cheung, Yiwei Peng, Mudit Jain, Zhihong Huang, Marco Fiorentino, Raymond G. Beausoleil. Mechanisms of enhanced sub-bandgap absorption in high-speed all-silicon avalanche photodiodes[J]. Photonics Research, 2023, 11(2): 337
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