《Table 1Spectroscopic parameters used in the numerical calculations》

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《Gain Properties of Triply-Doped Graphene-Insulator-Graphene Nanosheet Waveguide》

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The gain properties of the triply-doped GGGnanosheet waveguide are analyzed at five different input signal wavelengths（1.310，1.470，1.530，1.600 and1.650μm）with a signal input power of 1.0μW and a background loss of 0.1 dB/m by fourth-order RungeKutta method and Newton iterative algorithm.Spectroscopic parameters of rare-earth ions used for the numerical calculation of the proposed waveguide are shown in Table 1，where r is the core radius.Mostof the parameters are taken from Ref.[10].