Artoni M1,2, Horsley SAR3, La Rocca GC4
1Department of Engineering and Information Technology, Brescia University, Brescia, Italy
2European Laboratory for Nonlinear Spectroscopy, Sesto Fiorentino, Italy
3School of Physics and Astronomy, University of Exeter, Exeter, United Kingdom
4NEST, Scuola Normale Superiore, Pisa, Italy
Email: giuseppe.larocca@sns.it
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. Dedication: We are honored to dedicate this paper to the memory of Professor Vladimir Agranovich. We have always been deeply inspired by his paramount scientific achievements and his enthusiasm for physics. One of us (G.C.L.R.) is deeply and forever indebted to Professor Agranovich for his constant encouragement, help and friendship over many years. Keywords: photonic crystal, disorder, distributed Bragg reflector, photonic stop band.
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