Dynamical Diffraction of Light from 1D Photonic Crystals with Sinusoidal Profile of Permittivity

16th Russian Youth Conference on Physics and Astronomy

物理学;天文学

Romanenko, K.O.^1,2 ; Sel'Kin, A.V.^1,2

Solid State Physics Department, Saint Petersburg State University, Ulyanovskaya 1, Peterhof

198504, Russia^1

Spectroscopy of Solids Laboratory, Ioffe Physical Technical Institute, 26 Polytekhnicheskaya, St Petersburg

194021, Russia^2

关键词: 1-D photonic crystal;    Bragg reflection;    Dynamical diffraction;    Dynamical theory;    Integer numbers;    Oblique incidence;    Reflection and transmission;    Transfer matrix technique;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/572/1/012040/pdf
DOI  :  10.1088/1742-6596/572/1/012040

学科分类：天文学(综合)

来源: IOP

【 摘 要 】

Bragg reflection and transmission spectra of the 1D photonic crystals characterized by a spatially sinusoidal profile of permittivity are studied as a function of the crystal-plate thickness. Applicability of the dynamical theory of diffraction in describing such spectra is considered. In the framework of the dynamical theory, we (i) calculated and analysed the reflection and transmission spectra for oblique incidence of polarized light, (ii) computed the spectra making use of the transfer matrix technique, and (iii) compared quantitatively the results of the two approaches. As a result, the analytical dynamical theory of diffraction is found to be correct in calculating the Bragg spectra in the vicinity of single photonic band-gap when the plate thickness is equal to the integer number of the spatial periods, or the permittivity is symmetric about the middle plane of the structure.