Abstract
In this letter, a method to realize topological rainbow trapping is presented, which is composed of gradual trivial-nontrivial-trivial heterostructures based on two-dimensional photonic crystals with C-4 symmetry. In the proposed sandwiched structure, the two coupled topological edge states with different frequencies are separated and trapped in different positions, due to group velocity of near to zero. We have achieved the dual-mode of topological rainbow in one structure, and the dual-mode of topological rainbow under one mode excitation is also realized by using a simple bend design. The immunity to defects is also investigated and it is found our slowing light system has strong robustness. Finite element method simulation results verify our idea, and our work opens up a new approach for frequency routing of topological photonic states.
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