Abstract
I present a treatment of highly localized defect states in photonic band-gap crystals. Vector Wannier functions, which are expected to be highly localized about the atomic sites, are introduced as an orthonormal basis to expand the fields within the crystal. A Green’s function formalism is employed to take advantage of the fact that the defect occupies only a small fraction of the volume within a primitive cell and the localized nature of the vector Wannier functions. This suggests that the size of the matrices involved in determining the defect mode frequencies may be relatively modest.
© 1993 Optical Society of America
Full Article | PDF ArticleMore Like This
Maria C. Romano, Arianne Vellasco-Gomes, and Alexys Bruno-Alfonso
J. Opt. Soc. Am. B 35(4) 826-834 (2018)
Helena B. Tanaue and Alexys Bruno-Alfonso
J. Opt. Soc. Am. B 37(12) 3698-3706 (2020)
Tobias Stollenwerk, Dmitry N. Chigrin, and Johann Kroha
J. Opt. Soc. Am. B 28(8) 1951-1958 (2011)