“…Compared to a recent numerical study of parametric amplification in coupled waveguides, also considering wavelength dependency of the coupling strength (Su and Biaggio, 2022), our work provides elegant, practical and easyto-use analytical expressions for the design of an effective dualwaveguide parametric amplifier, accounting for coupling dispersion of an arbitrary order. Considering terms of order greater than 2, both in the single waveguide and in the coupling dispersion, is particularly relevant when the net combined contribution of both single waveguide group velocity and second-order coupling dispersion is close to zero, and there is a need to describe parametric amplifiers operating over a larger bandwidth.…”