Modeling the optical response of 3D disordered structures using the KKR method

GABRIEL LOZANO, LUIS A. DORADO, HERNÁN MÍGUEZ AND RICARDO A. DEPINE

Optical properties of photonic structures: interplay of order and disorder

CRC Press Taylor & Francis

Lugar: Londres; Año: 2011;

In this chapter we use the KKR method, a rigorous method valid for perfectly periodic structures, to simulate disorder effects in three-dimensional photonic crystals. Two approaches are considered: extinction methods and statistical methods. In extinction methods, energy losses are artificially added to perfectly periodic crystals made of transparent materials. These artificial losses take into account the light scattered by imperfections in the crystalline structure. In statistical methods, on the other hand, deviations from perfect periodicity are modeled via statistical distributions of sizes, shapes, and vacancies of the photonic crystal building blocks. Examples are given for the case of synthetic opals made of dielectric spheres, a case for which several measured optical spectra are available.