Topological Soliton Properties of Composite Linear-Nonlinear Moiré Photonic Lattices Under Non-Hermitian Modulation

Guomei Zhu; Zhaofeng Liu; Liren Zheng

doi:10.3788/AOS250860

Acta Optica Sinica, Volume. 45, Issue 16, 1606003(2025)

Topological Soliton Properties of Composite Linear-Nonlinear Moiré Photonic Lattices Under Non-Hermitian Modulation

Guomei Zhu, Zhaofeng Liu, and Liren Zheng^*

Shandong Provincial Engineering and Technical Center of Light Manipulation & Shandong Provincial Key Laboratory of Optics and Photonic Devices, School of Physics and Electronics, Shandong Normal University, Jinan 250358, Shandong , China

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Fig. 1. One-dimensional non-Hermitian linear Moiré photonic lattice profiles and band structures for $p_{1} = p_{2} = 2, β_{1} = 1 / 3, β_{2} = 1 / 4, a n d ω_{0} = 0.15$ . One-dimensional non-Hermitian linear Moiré photonic lattice profiles for (a) $T = 2$ , (b) $T = 3$ , and (c) $T = 6$ ; band structures for (d) $T = 2$ , (e) $T = 3$ , and (f) $T = 6$

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Fig. 2. Curves of soliton power P varying with $μ$ for $ω_{0} = 0.15$ . (a) $p_{3} = p_{4} = 1$ ; (b) $p_{3} = p_{4} = 2$ ; (c) $p_{3} = p_{4} = 3$

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Fig. 3. Stable soliton profiles and evolutions. (a)(d) $μ = 1.5$ , $p_{3} = p_{4} = 1$ ; (c)(f) $μ = 1.5$ , $p_{3} = p_{4} = 2$ ; (h)(k) $μ = 1.5$ , $p_{3} = p_{4} = 3$ ; (b)(e) $μ = 4.0$ , $p_{3} = p_{4} = 1$ ; (g)(j) $μ = 4.0$ , $p_{3} = p_{4} = 2$ ; (i)(l) $μ = 4.0$ , $p_{3} = p_{4} = 3$

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Fig. 4. Curves of soliton power $P$ varying with $μ$ at $T = 6$ (solid line represents stable domain of soliton) and soliton propagation. Soliton propagation at (a) $p_{3} = p_{4} = 1$ and (d) $μ = 2$ ; soliton propagation at (b) $p_{3} = p_{4} = 2$ and (e) $μ = 2$ ; soliton propagation at (c) $p_{3} = p_{4} = 3$ and (f) $μ = 2$

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Fig. 5. Soliton power P and simulation results of soliton stable transmission. (a) Soliton power $P$ varying with $μ$ for $p_{3} = p_{4} = 2$ and $ω_{0} = 0.15$ (dashed line represents unstable domain of soliton, and solid dot corresponds to $μ = 1.5)$ ; (b) soliton profile at $μ = 1.5$ [corresponding to solid dot in Fig. 5(a)]; (c) stability eigenvalue spectrum; (d) propagation simulation results

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Fig. 6. Lattice profile diagrams and band structure diagrams of nonlinear lattices with different periods and linear lattices. (a) Profile of linear lattice and (b) corresponding band structure for $p_{1} = p_{2} = 2$ , $ω_{0} = 0.15$ , $k_{0} = 4 π$ , and $T_{L} = 3$ ; (c) profile of nonlinear lattice for $p_{3} = p_{4} = 2$ , $ω_{1} = 0.15$ , $k_{1} = 2 π$ , and $T_{N L} = 6$ ; (d) profile of nonlinear lattice for $p_{3} = p_{4} = 2$ , $ω_{1} = 0.15$ , $k_{1} = 6 π$ ,and $T_{N L} = 2$

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Fig. 7. Bandgap soliton power P and simulation results of soliton stable transmission. Curves of power P of bandgap soliton for (a) $p_{3} = p_{4} = 1$ , (b) $p_{3} = p_{4} = 2$ , and (c) $p_{3} = p_{4} = 4$ when $T_{L} < T_{N L}$ and $ω_{1} = 0.15;$ simulation results of soliton stable transmission for(d) $p_{3} = p_{4} = 1$ , (e) $p_{3} = p_{4} = 2$ , and (f) $p_{3} = p_{4} = 4$ when $μ = 2$

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Fig. 8. Bandgap soliton power P and simulation results of soliton stable transmission. Curves of power P of bandgap soliton for (a) $p_{3} = p_{4} = 1$ , (b) $p_{3} = p_{4} = 2$ , and (c) $p_{3} = p_{4} = 4$ when $T_{L} > T_{N L}$ and $ω_{1} = 0.15$ ; simulation results of soliton stable transmission for(d) $p_{3} = p_{4} = 1$ , (e) $p_{3} = p_{4} = 2$ , and (f) $p_{3} = p_{4} = 4$ when $μ = 1$

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Fig. 9. Bandgap soliton power P and simulation results of soliton stable transmission. Curves of power P of bandgap soliton for (a) $ω_{1} = 0$ , (b) $ω_{1} = 0.15$ , and (c) $ω_{1} = 0.30$ when $T_{L} < T_{N L}$ and $p_{3} = p_{4} = 2$ ; simulation results of soliton stable transmission for (d) $ω_{1} = 0$ , (e) $ω_{1} = 0.15$ , and (f) $ω_{1} = 0.30$ when $μ = 0.25$

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Fig. 10. Bandgap soliton power P and simulation results of soliton stable transmission. Curves of power P of bandgap soliton for (a) $ω_{1} = 0$ , (b) $ω_{1} = 0.15$ , and (c) $ω_{1} = 0.30$ when $T_{L} > T_{N L}$ and $p_{3} = p_{4} = 2$ ; simulation results of soliton stable transmission for (d) $ω_{1} = 0$ , (e) $ω_{1} = 0.15$ , and (f) $ω_{1} = 0.30$ when $μ = 0.6$

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Guomei Zhu, Zhaofeng Liu, Liren Zheng. Topological Soliton Properties of Composite Linear-Nonlinear Moiré Photonic Lattices Under Non-Hermitian Modulation[J]. Acta Optica Sinica, 2025, 45(16): 1606003

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Apr. 8, 2025

Accepted: May. 20, 2025

Published Online: Aug. 18, 2025

The Author Email: Liren Zheng (zlrgym@sdnu.edu.cn)

DOI:10.3788/AOS250860

CSTR:32393.14.AOS250860

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology