Abstract
In this paper, a new kind of photonic crystal heterostructure (PCH) with a complete photonic band gap, which is composed of two semi-infinite photonic crystals, consisting of a triangular array of circular air holes in homogeneous dielectric Si and a honeycomb array of circular dielectric Si rods in air, respectively, is proposed and demonstrated. The interface guided modes in the PCH are investigated by using the plane-wave expansion method. The influences of longitudinal sideslipping and transverse displacement of the lattices on interface guided modes are discussed. The simulation results show that the guided modes can exist in the heterostructure without any shift of the lattices and the number of guided modes strongly depends on the geometric parameters of the heterostructure. It is anticipated that the guided modes in this heterostructure can be achieved by adjusting the relative transverse or longitudinal displacement of the lattices.
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