Table 1 Resonance energies \(E_{r,j}\), and widths \(\Gamma _{j}\) of a matter-wave FPI which gives the same velocity selectivity of a Bragg pulse with effective Rabi frequency \(\Omega _{j}\) (barrier width \(\sigma _{b} = {1}\) μm, barrier height \(V_{b}=1.42\times10^{-25}{\text{ J}}\), dimensionless Doppler width \(\epsilon _{\text{FW}}=1.597\), mass \(m=1.4431609\times10^{-25}{\text{ kg}}\) of 87Rb and cavity length \(d={15}\) μm)