Effective field theory for distorted photonic crystals

Near-field probing of photonic crystals

Photonic crystals form an exciting new class of optical materials that can greatly affect optical propagation and light emission. As the relevant length scale is smaller than the wavelength of light, sub-wavelength detection forms an important ingredient to obtain full insight in the physical properties of photonic crystal structures. Spatially resolved near-field measurements allow the observa...

Fast and effective finite difference method for 2D photonic crystals

In this article we develop a finite difference (FDFD) method to compute the band spectra of 2D photonic crystals without impurities. Exploiting periodicity to identify discretization points differing by a period, the computational complexity of the algorithms is reduced significantly. Numerical results on three test problems are presented.

Photonic Crystals: from Theory to Practice

Abstract: In this paper we develop a numerical algorithm that computes the Green’s function for a 2D finite-size photonic crystal, composed of rods of arbitrary shape. The method is based on boundary integral equation, and a Nyström discretization is used for the numerical solution. We derive multipole expansions for circular cylinders using our integral equation approach. Its numerical solutio...

Photonic Crystals : From Theory to Practice

Semiclassical theory of lasing in photonic crystals

We present a theoretical analysis of laser action within the bands of propagating modes of a photonic crystal. Using Bloch functions as carrier waves in conjunction with a multiscale analysis, we derive the generalized Maxwell–Bloch equations for an incoherently pumped atomic system in interaction with the electromagnetic reservoir of a photonic crystal. These general Maxwell–Bloch equations ar...