Er-LiNbO_3 waveguide: field approximation for simplified gain calculations in DWDM application

Abstract

The coupled differential equations, which govern the evolution of pump and signal power in the gain characterization of Er-doped diffused channel waveguides, involve integrals that depend explicitly on the modal fields at the pump and all signal wavelengths. We use an analytical form of the modal field as an appropriately chosen buried asymmetric Gaussian function centered at the field maximum; this leads to analytical forms of coupled differential equations with no integrals for the calculation of gain characteristics of the amplifying waveguide. Thus, computations are simplified and computation time is also significantly reduced.