Author Affiliations
1State Key Laboratory of Integrated Optoelectronics, College of Electronic Science & Engineering, Jilin University, Changchun 3002, China2Institute of Marine Science and Technology, Shandong University, Qingdao 50100, Chinashow less
Fig. 1. (a) Three-dimensional (3D) and (b) cross-sectional view of the graphene-based Si3N4 waveguide electro–optic modulator.
Fig. 2. In-plane permittivity changes with Fermi level μc of graphene at 1550 nm.
Fig. 3. Im(Neff) of SiN waveguide as a function of hSiN and wSiN when μc is 0 eV (λ = 1550 nm).
Fig. 4. Cross-section of (a) two-layer, (c) four-layer, and (e) six-layer GSNW configurations. Panels (b), (d), and (f) show field distributions of panels (a), (c), and (e), respectively.
Fig. 5. (a) Real and (b) imaginary parts of Neff as a function of Fermi level for different graphene layers.
Fig. 6. Illustration of (a) quasi-linear variation of the optical phase, and (b) optical MPA versus Fermi levels for different numbers of graphene layer.
Fig. 7. Optical transmission of the MZI modulator changes with applied gate voltages for the 80-μm-long graphene with different layers.
Fig. 8. Illustration of (a) quasi-linear variation of the optical phase, and (b) insertion loss versus Fermi levels for different graphene modulation lengths.
Fig. 9. Normalized transmission of the MZI modulator changes with applied gate voltage for the two-layer graphene at different modulating lengths.
Fig. 10. Equivalent electrical circuits of (a) two-, (b) four-, and (c) six-layer graphene modulators.
Structure | MZI |
---|
Layer number | 2 | 4 | 6 |
---|
Lg/μm | 80 | 160 | 240 | 80 | 160 | 240 | 80 | 160 | 240 | Ctotal/pF | 0.322 | 0.632 | 0.942 | 0.632 | 1.252 | 1.872 | 0.942 | 1.872 | 2.802 | Rtotal/Ω | 10.5 | 5.25 | 3.50 | 5.25 | 2.63 | 1.75 | 3.50 | 1.75 | 1.17 | ΔU/V | 3.60 | 1.02 | 0.49 | 1.07 | 0.34 | 0.20 | 0.48 | 0.19 | 0.14 | Power/(pJ/bit) | 1.043 | 0.164 | 0.057 | 0.181 | 0.036 | 0.019 | 0.054 | 0.017 | 0.014 | f3 dB/GHz | 47.1 | 48.0 | 48.3 | 48.0 | 48.5 | 48.6 | 48.3 | 48.6 | 48.6 | IL/dB | 0.22 | 0.44 | 0.66 | 0.43 | 0.86 | 1.29 | 0.64 | 1.28 | 1.92 |
|
Table 1. Modulating performance of different GSNW modulators.
Description | Length/μm | f3 dB/GHz | Power/(pJ/bit) | Bias/V | Insertion loss/dB |
---|
Graphene on Si WG[17] | 75.6 | 119.5 | 0.452 | 1 | 1.37 | Graphene-Si on slot WG[24] | 100 | 500 | NA | 1.3 | 0.97 | 2-layer graphene in SOI[35] | 500 | 30 | 0.38 | 7.8 | 0.6 | 1-layer graphene in SOI[35] | 850 | 19 | 0.66 | 6.5 | 2.805 | Graphene on ultrathin Si WG[36] | 96.63 | 14.2 | 0.097 | 3.87 | 1.55 | This work (2-layer GSNW) | 80 | 47.1 | 1.043 | 1.08 | 0.22 | This work (4-layer GSNW) | 80 | 48.0 | 0.181 | 1.08 | 0.43 | This work (6-layer GSNW) | 80 | 48.3 | 0.054 | 1.08 | 0.64 |
|
Table 2. Performance comparison between graphene-based phase modulators.