Next Article in Journal
Crystal Structures of the 43 kDa ATPase Domain of Xanthomonas Oryzae pv. Oryzae Topoisomerase IV ParE Subunit and its Complex with Novobiocin
Next Article in Special Issue
Spatial Beam Filtering with Autocloned Photonic Crystals
Previous Article in Journal
Energy Storage Performance of Sandwich Structured Pb(Zr0.4Ti0.6)O3/BaZr0.2Ti0.8O3/Pb(Zr0.4Ti0.6)O3 Films
Previous Article in Special Issue
Photonic Crystal Cavity-Based Intensity Modulation for Integrated Optical Frequency Comb Generation
Open AccessArticle

Quantitative Analysis of Photon Density of States for One-Dimensional Photonic Crystals in a Rectangular Waveguide

1
School of Information Technology, Guangdong Industry Polytechnic, Guangdong 510300, China
2
Multidisciplinary Computational Laboratory, Department of Electrical and Biomedical Engineering, Hanyang University, Seoul 04763, Korea
*
Author to whom correspondence should be addressed.
Crystals 2019, 9(11), 576; https://doi.org/10.3390/cryst9110576
Received: 1 August 2019 / Revised: 26 October 2019 / Accepted: 30 October 2019 / Published: 4 November 2019
(This article belongs to the Special Issue Sonic and Photonic Crystals)
Light propagation in one-dimensional (1D) photonic crystals (PCs) enclosed in a rectangular waveguide is investigated in order to achieve a complete photonic band gap (PBG) while avoiding the difficulty in fabricating 3D PCs. This work complements our two previous articles (Phys. Rev. E) that quantitatively analyzed omnidirectional light propagation in 1D and 2D PCs, respectively, both showing that a complete PBG cannot exist if an evanescent wave propagation is involved. Here, we present a quantitative analysis of the transmission functions, the band structures, and the photon density of states (PDOS) for both the transverse electric (TE) and transverse magnetic (TM) polarization modes of the periodic multilayer heterostructure confined in a rectangular waveguide. The PDOS of the quasi-1D photonic crystal for both the TE and TM modes are obtained, respectively. It is demonstrated that a “complete PBG” can be obtained for some frequency ranges and categorized into three types: (1) below the cutoff frequency of the fundamental TE mode, (2) within the PBG of the fundamental TE mode but below the cutoff frequency of the next higher order mode, and (3) within an overlap of the PBGs of either TE modes, TM modes, or both. These results are of general importance and relevance to the dipole radiation or spontaneous emission by an atom in quasi-1D periodic structures and may have applications in future photonic quantum technologies. View Full-Text
Keywords: photonic crystals; photonic band gap; waveguide; complete PBG; PDOS; TE; TM photonic crystals; photonic band gap; waveguide; complete PBG; PDOS; TE; TM
Show Figures

Figure 1

MDPI and ACS Style

Jao, R.-F.; Lin, M.-C. Quantitative Analysis of Photon Density of States for One-Dimensional Photonic Crystals in a Rectangular Waveguide. Crystals 2019, 9, 576.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop