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The existence of topological interface states is investigated at the boundarybetween a binary photonic crystal and a quaternary photonic crystal, with eachpossessing inversion symmetric unit cells. Conditions are established thatdescribe where the quaternary crystal can exist in parameter space subject toconstraints. The closing of band gaps is discussed for different optical pathratios. When the binary and quaternary crystals share an interface, opticalstates appear at the interface when the two crystals have different signs forthe surface impedance. The evolution of the states is displayed as the geometryof the quaternary crystal changes.

Topological Photonic States at a 1-D Binary-Quaternary Interface