Study on the Interface State of a One-Dimensional Photonic Crystal with Combinatorial Structure
Based on the propagation of electromagnetic wave in the medium and the continuous condi-tions of tangential components of electric field and magnetic field at the interface between the medium and the medium,the transmission matrix of light propagation is given in the medium and the matching matrix of light at the interface of the medium,so as to obtain the total transmission matrix of the photonic crys-tal and the combined structure photonic crystal,and further give their reflectance.On this basis,the inter-facial states of a photonic crystal is studied with an inverted symmetric combination structure(ABA)N(BAB)M,where the medium B is a glucose solution and the refractive index is a function of glu-cose concentration.Through numerical calculation,it is found that an interface state is generated at the characteristic frequency where the sum of the imaginary part of the surface impedance of the combined structure is equal to zero,and the sum of the reflection phase of each photonic crystal is equal to zero.With the increase of glucose concentration,the position of the interface state moves to the right,that is,the blue shift,and the peak value of the interface state becomes smaller.With the thickness of medium A and B,and the increase of da and db,the position of the interface state moves to the left,and the peak value is almost unchanged.As the incidence Angle increases,the interface state moves to the right and the peak value changes little.Therefore,the position and peak of the interface state can be adjusted by chang-ing the concentration of glucose,the thickness of medium A and B,and the size of the incidence Angle.The above conclusions on the interface state provide important theoretical basis for the design of optical de-vices and have potential guiding significance for practical applications.
photonic bandgap materialtransmission matrixmatching matrixinterface state
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