We investigate a unidirectional mode interference effect based on one-way coupled topological edge states (CTESs), which originate from the coupling of topological edge states (TESs) in magneto-optical photonic crystal (MOPC) heterostructure. By using the finite element method, the self-imaging phenomenon in the MOPC heterostructure is predicted. As an example of applications, a one-way tunable frequency and power splitter based on unidirectional mode interference is designed, which is reflectionless. Besides, the splitting ratio can be tuned by adjusting the external magnetic field. Moreover, the splitter is robust against common disorders, including the radius- and position-fluctuations of pillars and nonuniform magnetizations, which keep the bandgap open. Our findings provide a new, to the extent of our knowledge, way of designing integrated photonic circuit applications such as reflectionless filters, couplers, multiplexers, switches, or even nonreciprocal devices, and so on.
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