Abstract: Through the propagation of electromagnetic waves in the medium and the continuous conditions of the tangential components of electric and magnetic fields at the interface between the medium and the medium, we gave the transmission matrix of light propagation in the medium and the matching matrix of light at the interface of the medium, respectively, so as to obtain the total transmission matrix of the combined structure photonic crystal and their reflectance. On this basis, we studied the inverted symmetric combined structures for (ABA)^N(BAB)^M photonic crystal interface states. By changing the refractive index coefficient n_a0, parameter e, thickness d_a and period number N of the medium A, as well as the mass concentration of medium B (glucose solution), temperature, the thickness of d_b and period number M, and the size of the incident angle, we gave the location of the interface state and the peak size curve along with the change of these parameters, and studied the effects of the mass concentration of glucose solution on multiple interface states of combined structures PC₁+PC₂+PC₁ and PC₁+PC₂+PC₁+PC₂+PC₁. The numerical calculation results show that the location of the interface state and peak size can be changed when the mass concentration of glucose is changed, thereby achieving the adjustment of the interface state.

Key words: photonic bandgap material, transmission matrix, matching matrix, interface state