Metamaterials with Negative Parameters:Physics and Applications
Metamaterials with Negative Parameters: Physics and Applications
Outline Theory Particle model Transmission Line model Effective Medium model Applications
Outline Theory Particle model Transmission Line model Effective Medium model Applications
Permittivity-permeability (s-u)and refractive index (n)diagram. U II. I. e<0,u>0: e>0,4>0: n=E∈L,n<0 n=+√eu∈R,n>0 plasmas(ω<ωpe) isotropic dielectrics metals at optical frequencies right-handed(RH)/ evanescent wave forward-wave propagation 亚. IV. 8<0,u<0: ε>0，u<0: n=-√E平∈R,n<0 n=√Eu∈I,n<0 Veselago's materials ferrites(ω<wpm) left-handed (LH)/ (ferrimagnetic materials) backward-wave propagation evanescent wave
TABLE 1.1.Verification of Main Properties and Fundamental Physics of LH MTMs by Different Approaches and Different Groups. Type of Investigation References Numerical FDTD Ziolkowski et al.[27,28] Numerical FEM Caloz et al.[29] Numerical TMA Markǒs et al.[20,21] Numerical TLM So and Hoefer [30,31] Theoretical EM Lindell et al.[32],Kong et al. [33,34],Smith et al..[35], McCall et al.[36] Experimental Shelby et al.[10],Greegor (bulk)TW-SRR et al.[22],Ziolkowski [26], Marques et al.[25]Tie Jun Cui Theoretical TL Eleftheriades et al.[37,38], Caloz and Itoh [39,40], 0 liner[41,42] Experimental Iyer et al.[43],Caloz and Itoh (planar)TL [40],Sanada et al.[44]
Tie Jun Cui
Dispersive model for the dielectric permittivity -Lorentz model (particle model) A.Lna H.A.Lorentz F=-e(E+v×B), The electron in an atom can be assumed to be bound to the equilibrium position through an elastic restoring force,the equation of motion is: mi+myi+mwor =-eEo exp(-iwt), Damping force due to all inelastic processes Harmonic restoring force r =ro exp(-iwt) -eEo/m w-w(w+iy）
Damping force due to all inelastic processes The electron in an atom can be assumed to be bound to the equilibrium position through an elastic restoring force, the equation of motion is: H.A.Lorentz Dispersive model for the dielectric permittivity ——Lorentz model (particle model) Harmonic restoring force