Enhanced stimulated emission in a two-dimensional photonic crystal

摘要

An analytical expression is presented for light amplification by stimulated emission in arbitary photonic crystals, which shows an enhancement due to small group velocity. This enhancement was evaluated quantitatively for a two-dimensional crystal with a finite thcikness composed of a square array of circular air-rods formed in a dielectric material. In addition to the enhancement at photonic band edges where the group velocity is equal to zero. an extremely large enhancement due to the group-velocity anomaly peculiar to two-and three-dimensional crystals was found even for quite a thin structure.