Nonlinear Operation of a 2-D Triangular Lattice Photonic Crystal Laser

In this paper, an approximate method is presented for the analysis of 2-D triangular lattice photonic crystal laser operation above the threshold. Our approach is based on coupled wave equations, including gain saturation and spatial hole burning effects, and energy theorem. An expression is derived for the small signal gain coefficient for transverse magnetic modes as a function of the output power, losses, coupling strength depending on the shape of the primitive cell of a photonic crystal as well as the index contrast. The laser characteristics obtained reveals optimal coupling strength, for given structure parameters, for which maximal power efficiency of the laser structure is obtained.