Tunable transmission and defect mode in one-dimensional ternary left-handed photonic crystal

We study the transmission of a one-dimensional ternary left-handed photonic crystal which is consisting of three alternating slabs in the form of {ABC}, where A and C represent two kinds of positive- refractive-index materials, and B represents the negative-refractive-index material. Firstly, we obtain the dispersion equation based on the boundary conditions and Bloch theorem. By construing the obtained dispersion relation theoretically we demonstrated that a zero averaged refractive index (ZARI) gap which is around the frequency where the average refractive index vanishes appears. Secondly, we investigate the dependence of the transmission on the thickness of slabs by changing the thickness of slab A, B and C respectively. We find that the transmission of such a structure can be made tunable. This novel property may be very useful in designing tunable filters because the position of band gaps in such a structure can be chosen expediently. Furthermore, we study the property of defect mode of such a structure, and find that the defect mode doesn't always appear simultaneously in both Bragg and ZARI gaps of the transmission spectrum. It can be selected to appear either in the Bragg gap or in the ZARI gap.

[1]  R. Ruppin.  Bragg reflectors containing left‐handed materials , 2003 .

[2]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[3]  Steven G. Johnson,et al.  Cerenkov Radiation in Photonic Crystals , 2003, Science.

[4]  Sailing He,et al.  Band structure for a one-dimensional photonic crystal containing left-handed materials , 2003 .

[5]  David R. Smith,et al.  Negative refractive index in left-handed materials. , 2000, Physical review letters.

[6]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[7]  G. Eleftheriades,et al.  Planar negative refractive index media using periodically L-C loaded transmission lines , 2002 .

[8]  N. Seddon,et al.  Observation of the Inverse Doppler Effect , 2003, Science.

[9]  P. Sheng,et al.  Photonic band gap from a stack of positive and negative index materials. , 2003, Physical review letters.

[10]  Y. Kivshar,et al.  Defect modes and transmission properties of left-handed bandgap structures. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Yuri S. Kivshar,et al.  Beam shaping by a periodic structure with negative refraction , 2003 .

[12]  Hong-qiang Li,et al.  Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials , 2003 .

[13]  Shi-Yao Zhu,et al.  Superluminal pulse propagation through one-dimensional photonic crystals with a dispersive defect. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[15]  L. Qiang,et al.  Propagation of coherent and partially coherent pulses through one-dimensional photonic crystals. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Ceji Fu,et al.  Unusual photon tunneling in the presence of a layer with a negative refractive index , 2002 .

[17]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[18]  Masaya Notomi,et al.  Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap , 2000 .

[19]  S. Tretyakov,et al.  Photonic band gap structure containing metamaterial with negative permittivity and permeability. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.