Abstract We take a finite dielectric photonic crystal as a homogeneous slab and have extracted the effective parameters. Our systematic study shows that the effective permittivity or permeability of dielectric photonic crystal is negative within a band gap region. This means that the band gap might act as $\varepsilon$-negative materials (ENMs) with $\varepsilon <0$ and $\mu >0$, or $\mu$-negative materials (MNMs) with $\varepsilon >0$ and $\mu <0$. Moreover the effective parameters sensitively rely on size, surface termination, symmetry, etc. The effective parameters can be used to design full transmission tunnelling modes and amplify evanescent wave. Several cases are studied and the results show that dielectric photonic band gap can indeed mimic a single negative material (ENM or MNM) under some restrictions.
Received: 15 January 2008
Revised: 24 January 2008
Accepted manuscript online:
Fund: Project supported by the
National Key Basic Research Special Foundation of China (Grant No
2006CB921701), the National Natural Science Foundation of China
(Grant Nos 10474072, 10634050 and 50477048) and the Shanghai Science
and Technology Committee of China (Grant No 07DZ22302).
Cite this article:
Guo Ji-Yong(郭继勇), Chen Hong(陈鸿), Li Hong-Qiang(李宏强), and Zhang Ye-Wen(张冶文) Effective permittivity and permeability of one-dimensional dielectric photonic crystal within a band gap 2008 Chin. Phys. B 17 2544
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