Techniques used to assist phase matching of second‐order nonlinearities in semiconductor
waveguides are reviewed. The salient points of each method are highlighted, with their …

We present a numerical study of second-harmonic (SH) generation in a one-dimensional,
generic, photonic band-gap material that is doped with a nonlinear χ (2) medium. We show …

We discuss the linear dispersive properties of finite one-dimensional photonic band-gap
structures. We introduce the concept of a complex effective index for structures of finite …

We present a formalism to describe transitions between photon modes in a photonic crystal
with a temporally and spatially varying dielectric constant, in analogy to optical transitions …

Focus Serial: Frontiers of Nonlinear Optics Nonlinear photonic-crystal microresonators offer
unique fundamental ways of enhancing a variety of nonlinear optical processes. This …

We show an alternative path to efficient second-and third-harmonic generation in proximity
of the zero crossing points of the dielectric permittivity in conjunction with low absorption …

This study presents photonic vertical cavities consisting of nonlinear materials embedded in
photonic crystals (PhCs) for resonantly enhancing second harmonic generation (SHG) …

An overview of the most relevant properties of photonic crystals is presented considering 1D,
2D and 3D structures. The emphasis is on nonlinear properties both of the second and third …

Using both the tight-binding approximation and the finite-difference time domain method, we
analyze two types of coupled-resonator optical waveguide (CROW), a coupled-microdisks …

In this introduction we list important definitions and relations that will be used throughout the
book. We will use SI units exclusively. In a departure from custom, for degenerate mixing …