To investigate metal dielectric constant influence on optical Tamm state, complex refractive index in three dispersion models is studied. TE wave and TM wave of optical Tamm state with different incident angle and silver layer thickness and cycles number are studied in silver-photonic crystal-silver structure. Two optical Tamm state appeare (OTS1 and OTS2). In three dispersion models wavelength of optical Tamm state changing with incident angle and silver layer thickness and cycles number are similar. Transmission peak of optical Tamm state changing with incident angle and silver layer thickness and cycles number are different. Drude-Lorentz model and Lorentz model can describe characteristics of silver, but the Drude model can't.

A simplest cascade memristor chaotic circuit is constructed with a charge-controlled memristor,an inductance,a capacitance and a negative conductance. Dynamic properties of the circuit are demonstrated by means of equilibrium stability,Lyapunov exponent spectra and bifurcation diagrams. Numerical simulation shows that a class of particular single scroll chaotic attractors is produced in the case of one equilibrium point. With increase of system parameter,the circuit exhibits complicated chaotic behaviors. Pspice simulations are well consistent with theoretical analysis and numerical simulation.

For defect mode of 1D doped photonic crystal, a resonant cavity model of 1D doped photonic crystal is established. With coherent superposition principle, transmittance formula and frequency formula of defect mode are derived in I D doped photonic crystal. Coherent superposition theory has advantages of characteristic matrix theory and resonance theory, while it does not have disadvantages of them. Coherent superposition theory is a good approach to study defect mode of 1D doped photonic crystal.

To study comb filtering properties of tunnelling in total reflection of light in 1 D cylindrical photonic crystals, transition matrix method is adopted. Transmissivity of light is studied as incident angle is greater than full reflection angle. Tunnelling under condition of total reflection is found in transmitting waves. Good comb filtering characteristics is shown. Responses of tunnelling versus period, quantum number of mode, and cylinder radius are obtained. They are basis for design of high-quality comb filters.

Mode condition of elastic wave in solid-fluid rectangular doping phononic crystals is obtained with restriction conditions of elastic wave.Response of defect mode to mode quantum number and length of rectangle are calculated.Multichannel filters are realizated with relationship of defect mode and mode quantum number.Harmonious filters are obtained as defect mode varies with mode length of rectangle.

Mode of elastic wave in 1D solid-liquid cylindrical phononic crystal is obtained with restriction conditions of elastic wave.Bandgap of elastic wave is calculated with dispersion function.New structure of bandgap in 1D solid-liquid cylindrical phononic crystal is revealed.Bandgap of 1D solid-liquid cylindrical phononic crystal is determined with quantum number of mode and cylindrical radius.

Transfer matrix and transmission coefficients in doping phononic crystal are obtained.Transmission coefficient of elastic waves in doping phononic crystal is calculated.With oblique incidence transversal wave, defect mode of transversal wave decreases with increase of incident angle.Transformation of transversal wave toward longitudinal wave increases with increase of incident angle.With oblique incidence longitudinal wave,defect mode of longitudinal wave decreases with increase of incident angle.Transformation of longitudinal wave toward transversal wave increases with increase of incident angle.