不能产生SPPS-polarizedwave (TE)Forx3>0E(x; t) = (0, A, O)eikx1kg'x3-iotE;EsoH(x; t)=A(kg), o, ik)eikx1-kg'x3-iotEXi0(0)ForX3<0E(x; t) = (0, B, O)eikx1+kgm)x3-iotH(x;t)=B (k(m), 0, ik)eikx1+kgnxg-iot10WhenX3=0,E,连续A=BCH,连续(1)mBA3ioio要求k)>0,k(m)>0A=B=0无解316Nano-opticsofsurfaceplasmonpolaritons,A.V.Zayatsetal,PhysicsReports408(2005)131-314
16 Nano-optics of surface plasmon polaritons, A.V. Zayats et al, Physics Reports 408 (2005) 131–314 S-polarized wave (TE) 不能产生 SPP For x3 > 0 For x3 < 0 When x3 = 0, E2连续 H1连续 A B = (1) ( ) 3 3 c c m Ak Bk i i ω ω = − 要求 (1) ( ) 3 3 0, 0 m k k > > A B = = 0 无解
2.1.3planarSPPwaveguidesIMl(insulator-metal-insulator)waveguideThisgeometryoffersgoodpropagationresultsforaSPwaveguide.Dispersionrelation:Metalslabthickness:d(1)(skaLS(w) E(W)E(O0(m(mes1Symmetric structureE,[Espl1)(sE,=8s= 1eHK(1)1e(c0)(m)evenmodeE（W)coth25oddmode(m)E()tanh17Nano-opticsofsurfaceplasmonpolaritons,A.V.Zayatsetal,PhysicsReports408(2005)131-314
17 2.1.3 planar SPP waveguides Nano-optics of surface plasmon polaritons, A.V. Zayats et al, Physics Reports 408 (2005) 131–314 IMI (insulator-metal-insulator) waveguide This geometry offers good propagation results for a SP waveguide. Dispersion relation: Metal slab thickness: d Symmetric structure even mode odd mode ε1 = ε s= 1
airlAg/air,2=600nm2.00.0051.01.01.80.50.50.0040.0ReE1.6-0.5-0.50.0031.4SRSP1.0-1.0ImkLRSP-100-80-60-40-200204060801001.20.002X, (nm)SRSP1.01.01.0LRSP0.0010.50.50.8ro0.0ReE0.60.000-0.50.5500100150200-1.0d (nm)10080604020020406080100x, (nm)Explanation:Case1:d=30nm,Lo=50umCoupling of SPsLs=11.1um,L,=476.3umsplit into the short range SPCase2:d=50nm(even mode)and the long rangeLs=22.6um,L,=143.3umSP (odd mode).18Numerical calculations By L.J.Wang
18 Explanation: Coupling of SPs split into the short range SP (even mode) and the long range SP (odd mode). air/Ag/air, λ=600nm Case 2: d=50nm LS=22.6 um, LL=143.3 um Case 1: d=30nm, L0=50um LS=11.1 um, LL=476.3 um Numerical calculations By L. J. Wang