| Original Articles |
|
|
|
|
Enlargement of Photonic Band Gaps and Physical Picture of Photonic Band Structures |
| ZHANG Yan;SHI Jun-Jie |
| State Key Laboratory for Mesoscopic Physics, and School of Physics, Peking University, Beijing 100871 |
|
| Cite this article: |
|
ZHANG Yan, SHI Jun-Jie 2006 Chin. Phys. Lett. 23 639-642 |
|
|
|
Abstract Light propagation in a one-dimensional photonic crystal (PC), consisting of alternative slabs with refractive indices (layer thicknesses) n1 (a) and n2 (b), is investigated. An important optimal parameter matching condition, n1a approx n2b, is obtained for the largest photonic band gap (PBG). Moreover, we find that the exact analytical solutions for the electric/magnetic field eigenmodes at the band edges are standing waves with odd or even symmetry about the centre of each layer. The electric/magnetic field eigenfunctions at the top and bottom of the nth band have n and n-1 nodes in one period of PC, respectively. The PBG arises from the symmetric differences of the field eigenfunctions at the band edges.
|
| Keywords:
42.70.Qs
03.50.De
78.67.Pt
|
|
|
Published: 01 March 2006
|
|
| PACS: |
42.70.Qs
|
(Photonic bandgap materials)
|
| |
03.50.De
|
(Classical electromagnetism, Maxwell equations)
|
| |
78.67.Pt
|
(Multilayers; superlattices; photonic structures; metamaterials)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
