Dispersion Model of Doped Medium in Imaginary-Part Photonic Crystal

doi:10.3969/j.issn.1007-2985.2012.05.013

Abstract

Abstract: Because of the novel structure,the imaginary-part photonic crystal (IPPC) has strongly frequency-dependent character and some special optical properties.However,the dispersion relation of doped medium of imaginary-part photonic crystal has not been studied clearly,so that it would be an obstacle for wide investigation and application of IPPC.The authors employ linear forced oscillator model and effective medium theory to build up the dispersion model of doped medium of IPPC.The model can be used to more than one kind of doped agent.Finally,the authors compare the simulation dispersion curve from the model with that from experiment and find that they match well.So the dispersion model which the authors build up is available,and it can give some help to get further investigation of IPPC optical properties.

Key words: imaginary-part photonic crystal, forced oscillator model, effective medium theory, dispersion relation

LIU Jing-Feng, LI Ling-Yan. Dispersion Model of Doped Medium in Imaginary-Part Photonic Crystal[J]. journal6, 2012, 33(5): 51-55.

References

[1] YABLONOVITCH E.Inhibited Spontaneous Emission in Solid-State Physics and Electronics [J].Physical Review Letters,1987，58(20):2 059-2 062.

[2] JOHN S.Strong Localization of Photons in Certain Disordered Dielectric Superlattices [J].Physical Review Letters,1987，58（23）:2 486-2 489.

[3] JOANNOPOULOS J D,JOHNSON S G，WINN J N,et al.Meade,Photonic Crystals:Molding the Flow of Light [M].Princeton:Princeton University Press,2008:304.

[4] LI J,LIANG B,LIU Y,et al.Photonic Crystal Formed by the Imaginary Part of the Refractive Index [J].Adv. Mater.,2010,22(24):2 676-2 679.

[5] FENG M,LIU Y,LI Y,et al.Light Propagation in a Resonantly Absorbing Waveguide Array [J].Opt. Express,2001,19(8):7 222-7 229.

[6] LI Y,MALOMED B A,FENG M,et al.Arrayed and Checkerboard Optical Waveguides Controlled by the Electromagnetically Induced Transparency [J].Physical Review A,2010,82(6):063 813.

[7] LI Y,MALOMED B A,WU J,et al.Quasicompactons in Inverted Nonlinear Photonic Crystals [J].Physical Review A,2011,84(4):043 839.

[8] JIANG H,LIU J F,CHEN G,et al.Diffractive Properties of Imaginary-Part Photonic Crystal Slab [J].Nanoscale Research Letters,2012,7(1):335-341.

[9] JACKSON J D.Classical Electrodynamics [M].Wiley:Wiley,1998:145-173.

[10] CHOY T C.Effective Medium Theory:Principles and Applications [M].Oxford:Oxford University Press,1999:200-230.

[11] WOOD D M,ASHCROFT N W.Effective Medium Theory of Optical Properties of Small Particle Composites [J].Philosophical Magazine,1977,35(2):269-280.

[12] JACOBSEN K W,STOLTZE P,NRSKOV J K.A Semi-Empirical Effective Medium Theory for Metals and Alloys [J].Surface Science,1996,366(2):394-402.

[13] LALANNE P,LEMERCIER-LALANNE D.On the Effective Medium Theory of Subwavelength Periodic Structures [J].Journal of Modern Optics,1996,43(10):2 063-2 085.

[14] KOSCHNY T,KAFESAKI M,ECONOMOU E N,et al.Effective Medium Theory of Left-Handed Materials [J].Physical Review Letters,2004,93(10):107 402.

[15] 殷之文,电介质物理学 [M].北京：科学出版社，2003：5-8.

[16] ASPNES D E.Local-Field Effects and Effective-Medium Theory:A Microscopic Perspective [J].American Journal of Physics,1982，50(8):704-709.

[17] SHEN L,WU J J,YANG T J.Anisotropic Medium with Parabolic Dispersion [J].Applied Physics Letters,2008,92(26):261 905.

[18] MAKI J J,MALCUIT M S,SIPE J E,et al.Linear and Nonlinear Optical Measurements of the Lorentz Local Field [J].Physical Review Letters,1991,67(8):972-975.

[19] LAGENDIJK A,NIENHUIS B,TIGGELEN V B A,et al.Microscopic Approach to the Lorentz Cavity in Dielectrics [J].Phys. Rev. Lett.,1997,79(18):657-660.

[20] VALERIO LUCARINI J J S,KAI-ERIK PEIPONEN,ERIK M.Vartiainen.Kramers-Kronig Relations in Optical Materials Research [M].[S.l.]Springer,2010:172-176.

[21] STOCKMAN M I,KURLAYEV K B,GEORGE T F.Linear and Nonlinear Optical Susceptibilities of Maxwell Garnett Composites:Dipolar Spectral Theory [J].Physical Review B,1999,60(24):17 071-17 083.