Second-harmonic generation with pulses in a coupled-resonator optical waveguide

Abstract

We describe the generation and propagation of pulses in a coupled-resonator optical waveguide driven by a nonlinear polarization using a method closely related to the coupled-mode theory. The specific example we consider is that of second-harmonic generation. This formalism explicitly accounts for temporal dependencies in the waveguide field distributions and in their representations in terms of slowly modulated Bloch wave functions, in contrast with the equations obtained previously for cw second-harmonic generation.