Nonlocal solitons in dual-periodic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric optical lattices

Abstract

We numerically study the nonlocal solitons in dual-periodic parity-time ($\mathcal{PT}$) symmetric optical lattices built into a nonlocal self-focusing medium. We state the existence, stability, and propagation dynamics of such $\mathcal{PT}$-gap solitons in detail. Simulated results show that there exist stable gap solitons. The energy flow density and the stable region of the $\mathcal{PT}$-gap solitons in both the propagation constant and the degree of nonlocality are also examined.