中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2544-2552.doi: 10.1088/1674-1056/17/7/034

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Effective permittivity and permeability of one-dimensional dielectric photonic crystal within a band gap

郭继勇, 陈鸿, 李宏强, 张冶文   

  1. Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China
  • 收稿日期:2008-01-15 修回日期:2008-01-24 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    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).

Effective permittivity and permeability of one-dimensional dielectric photonic crystal within a band gap

Guo Ji-Yong(郭继勇), Chen Hong(陈鸿)†, Li Hong-Qiang(李宏强), and Zhang Ye-Wen(张冶文)   

  1. Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China
  • Received:2008-01-15 Revised:2008-01-24 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    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).

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摘要： 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.

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.

Key words: photonic crystal, negative permittivity, negative permeability

中图分类号:  (Permittivity (dielectric function))

  • 77.22.Ch
42.70.Qs (Photonic bandgap materials) 77.84.-s (Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials) 78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))