TY - JOUR
T1 - On the Calculation of the Spectral Bands of One-Dimensional Photonic Crystals
AU - Barrera-Figueroa, V.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2020/6/18
Y1 - 2020/6/18
N2 - In this work we consider the propagation of transverse electromagnetic waves in one-dimensional photonic crystals consisting of periodic arrays of slabs. On the basis of the Floquet theory we obtain the characteristic function of the periodic medium, which defines the photonic bands of the crystal. The characteristic function is constructed from the monodromy matrices of the slabs. Entries of monodromy matrices are explicitly given as power series of the spectral parameter. The present analysis can be applied not only to homogeneous slabs, but also to slabs with varying refractive indexes. The power series representation of the entries of monodromy matrices leads to an effective numerical method for the calculation of the spectral bands of one-dimensional photonic crystals.
AB - In this work we consider the propagation of transverse electromagnetic waves in one-dimensional photonic crystals consisting of periodic arrays of slabs. On the basis of the Floquet theory we obtain the characteristic function of the periodic medium, which defines the photonic bands of the crystal. The characteristic function is constructed from the monodromy matrices of the slabs. Entries of monodromy matrices are explicitly given as power series of the spectral parameter. The present analysis can be applied not only to homogeneous slabs, but also to slabs with varying refractive indexes. The power series representation of the entries of monodromy matrices leads to an effective numerical method for the calculation of the spectral bands of one-dimensional photonic crystals.
UR - http://www.scopus.com/inward/record.url?scp=85087446847&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1540/1/012020
DO - 10.1088/1742-6596/1540/1/012020
M3 - Artículo de la conferencia
AN - SCOPUS:85087446847
SN - 1742-6588
VL - 1540
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012020
T2 - 8th International Conference on Quantum Phenomena, Quantum Control and Quantum Optics, Quantum Fest 2019
Y2 - 28 October 2019 through 1 November 2019
ER -