J4 ›› 2010, Vol. 27 ›› Issue (6): 705-710.

• Quantum Optics • Previous Articles     Next Articles

Analysis of low-frequency index of refractive for granular film dielectric photonic crystal

ZHENG Yong lin1,2, ZHAO Mao Juan1, YANG Min2   

  1. 1 Institute of Electronics and Information Engineering, Chengdu University, Chengdu 610106, China; 
    2 Department of Physics, Yangtze Normal University, Chongqing 408100, China
  • Received:2009-12-30 Revised:2010-04-04 Published:2010-11-28 Online:2010-11-19

Abstract:

Using relationship of the quasi-static index of refractive and the static one in granular film dielectric,  the index of refractive of photonic crystal were calculated in the low-frequency limit. The index of refractive of photonic crystal were calculated in the low-frequency limit. the calculation indicates that, due to the eddy current (or the polarized current) induced by the low-frequency waves, the non-magnetic photonic crystal appears the diamagnetic resonance, which depends on the relationship between the radius of the cylinder and skin deep . If skin deep is far less than the radius of the cylinder, the inside of  electromagnetic field of the inclusion is concealed. Each inclusion behaves like the ideal diamagnetic. The diamagnetic permeability of (H polarization wave) photon crystal is linearly reduced with the increase of the filling fractions. On the contrary, when skin layer is larger than the radius, the diamagnetic resonance can be neglected. The magnetization of the periodicity particle composite media induces distinct values of the quasistatic and static indices of refraction, which explains a paradox with noncommuting limits.

Key words: materials, metal particle composite media, photonic crystal, refractive index of low frequency, dielectric constant and magnetic permeability

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