Second harmonic generation in planar photonic crystal waveguides

Summary form only given. It is now well-established that semiconductor-based slab waveguides textured with a deep, 2-dimensional (2D) periodic pattern of holes exhibit a rich photonic bandstructure. In particular, we have recently reported the dispersion, polarization and lifetimes of resonant or "leaky" photonic eigenstates that can be excited directly from the vacuum half-space above the waveguide. These eigenstates are principally composed of superpositions of TE and TM slab-like modes with wavevectors on the order of the reciprocal space vectors that define the dielectric lattice. The finite lifetimes are associated with a relatively small component of their Bloch states that is phase matched to radiate into the vacuum above, and into the substrate below. In the present work we explore how these resonant photonic eigenstates might be used to tailor a nonlinear optical conversion process, second harmonic generation.