Weak disorder in photonic crystals

Аннотация

Finite one-dimensional photonic crystals with geometric and compositional disorder are studied via a perturbative approach in the weak effective disorder limit. Our model gives expressions that, when used to compute disorder-averaged reflectivity spectra around the photonic band gap, yield accurate results and significantly more efficiently than through a direct numerical average over disorder realization. The method is specially suited to deal with atomic photonic crystals with low levels of disorder and a substantial number of periods.