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.

中文翻译：

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莫尔晶格中孤子性质的研究

在本文中，构造了由两个不同周期的布拉格格组成的莫尔网格。利用平面波扩展法计算出莫尔格子的光子带结构，求出孤子的光子带隙。然后详细分析了孤子的解和孤子在光子带隙间隔中的稳定性。还讨论了缺陷云纹晶格中的孤子。结果表明，稳定的孤子不仅可以存在于均匀的莫尔网格中，而且可以存在于缺陷条件下。