(1+2)-dimensional spatial solitons in liquid crystals with competing nonlinearities

Meng ZHANG; Shaozhi PU; Mingxin DU; Ying SUN; Xiaomeng WANG; Ying LIANG

doi:10.3788/IRLA20240234

Infrared and Laser Engineering, Volume. 53, Issue 10, 20240234(2024)

(1+2)-dimensional spatial solitons in liquid crystals with competing nonlinearities

Meng ZHANG, Shaozhi PU, Mingxin DU, Ying SUN, Xiaomeng WANG, and Ying LIANG

School of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China

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$The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the degree of thermal nonlocality \begin{document}${\sigma _2}$\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}$ \gamma $\end{document}=0.1; (b) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}$ \gamma $\end{document}=0.2; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.2$

Fig. 1. The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the degree of thermal nonlocality \begin{document}${\sigma _2}$\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}$ \gamma $\end{document}=0.1; (b) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}$ \gamma $\end{document}=0.2; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.2

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$The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the degree of reorientation non-locality \begin{document}${\sigma _1}$\end{document}. (a) \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.1; (b) \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2; (c) \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2$

Fig. 2. The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the degree of reorientation non-locality \begin{document}${\sigma _1}$\end{document}. (a) \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.1; (b) \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2; (c) \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2

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$The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the thermal nonlinearity coefficient \begin{document}$\gamma $\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=8; (b) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=9; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=8; (d) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=9$

Fig. 3. The variation of critical power \begin{document}${p_c}$\end{document} of optical solitons with the thermal nonlinearity coefficient \begin{document}$\gamma $\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=8; (b) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=9; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=8; (d) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=9

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$Intensity distribution of the Gaussian beam at several different propagation distances. (a1)-(a4) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_{c + }} $\end{document}=624.6, \begin{document}${p_{c - }}$\end{document}=27; (b1)-(b4) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_{c + }} $\end{document}=921.6, \begin{document}${p_{c - }}$\end{document}=239.5; (c1)- (c4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_c} $\end{document}=540; (d1)-(d4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_c} $\end{document}=411.5$

Fig. 4. Intensity distribution of the Gaussian beam at several different propagation distances. (a1)-(a4) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_{c + }} $\end{document}=624.6, \begin{document}${p_{c - }}$\end{document}=27; (b1)-(b4) \begin{document}${\sigma _1}$\end{document}=3, \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_{c + }} $\end{document}=921.6, \begin{document}${p_{c - }}$\end{document}=239.5; (c1)- (c4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=9, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_c} $\end{document}=540; (d1)-(d4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=8, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}$ {p_c} $\end{document}=411.5

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$The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the degree of thermal nonlocality \begin{document}${\sigma _2}$\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.05; (b) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}$ \gamma $\end{document}=0.05; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}$ \gamma $\end{document}=0.1$

Fig. 5. The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the degree of thermal nonlocality \begin{document}${\sigma _2}$\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.05; (b) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}$ \gamma $\end{document}=0.05; (c) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}$ \gamma $\end{document}=0.1

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$The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the degree of reorientation non-locality \begin{document}${\sigma _1}$\end{document}. (a) \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.05; (b) \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.05; (c) \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.1$

Fig. 6. The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the degree of reorientation non-locality \begin{document}${\sigma _1}$\end{document}. (a) \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.05; (b) \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.05; (c) \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.1; (d) \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.1

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$The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the thermal nonlinearity coefficient \begin{document}$\gamma $\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11; (b) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=12; (c) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=11; (d) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=12$

Fig. 7. The variation of critical power \begin{document}${p_c}$\end{document} of dipole solitons with the thermal nonlinearity coefficient \begin{document}$\gamma $\end{document}. (a) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11; (b) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=12; (c) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=11; (d) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=12

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$Intensity distribution of the dipole solitons at several different propagation distances. (a1)-(a4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.1, \begin{document}$ {p_{c + }} $\end{document}=2592, \begin{document}${p_{c - }}$\end{document}=816.8; (b1)-(b4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}${p_c}$\end{document}=852.1; (c1)-(c4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.05, \begin{document}$ {p_{c + }} $\end{document}=7 564, \begin{document}${p_{c - }}$\end{document}=676.6; (d1)-(d4) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.1, \begin{document}${p_c}$\end{document}=1 596$

Fig. 8. Intensity distribution of the dipole solitons at several different propagation distances. (a1)-(a4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.1, \begin{document}$ {p_{c + }} $\end{document}=2592, \begin{document}${p_{c - }}$\end{document}=816.8; (b1)-(b4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=11, \begin{document}$ \gamma $\end{document}=0.2, \begin{document}${p_c}$\end{document}=852.1; (c1)-(c4) \begin{document}${\sigma _1}$\end{document}=4, \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.05, \begin{document}$ {p_{c + }} $\end{document}=7 564, \begin{document}${p_{c - }}$\end{document}=676.6; (d1)-(d4) \begin{document}${\sigma _1}$\end{document}=5, \begin{document}${\sigma _2}$\end{document}=12, \begin{document}$ \gamma $\end{document}=0.1, \begin{document}${p_c}$\end{document}=1 596

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Meng ZHANG, Shaozhi PU, Mingxin DU, Ying SUN, Xiaomeng WANG, Ying LIANG. (1+2)-dimensional spatial solitons in liquid crystals with competing nonlinearities[J]. Infrared and Laser Engineering, 2024, 53(10): 20240234

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Paper Information

Category: 非线性光学

Received: Jun. 3, 2024

Accepted: --

Published Online: Dec. 13, 2024

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DOI:10.3788/IRLA20240234

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology