Study on the properties of solitons in moiré lattice

In this paper, the moiré lattice composed of two different periods of Bragg lattices is constructed. The photonic band structure of the moiré lattice is calculated by the plane wave expansion method, and the photonic band gap of the soliton is determined. Then the solution of the soliton and the stability of the soliton in the photonic band gap interval are analyzed in detail. The solitons in the defect moiré lattice are also discussed. The results show that stable soliton can not only exist in uniform moiré lattices, but also exist in defect condition.