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非局域体介质中的暗孤子及表面亮孤子由于在光通信领域的潜在应用而受到极大关注,然而到目前为止却没有对非局域表面暗孤子的研究.在线性介质和非局域非线性介质的分界面上,数值模拟得到了1+1维非局域基态和二阶表面暗孤子,研究了它们的波形与传播常数和介质非局域程度的关系,基于它们的稳定性分析进行了理论推导和数值模拟.稳定性分析结果表明:1+1维非局域基态表面暗孤子在其存在区域总是稳定的,而二阶表面暗孤子是区域不稳定的,其不稳定区域的宽度与传播常数以及介质的非局域程度有关系,且受传播常数的影响更大.加噪声的初始输入传输图验证了稳定性分析结果的正确性.
Dark solitons and bright surface solitons in nonlocal media have drawn great attention due to their potential applications in the field of optical communications. However, no studies on dark solitons on nonlocal surfaces have been made so far. In both linear and nonlocal The nonlinear 1 +1 -dimensional nonlocal ground state and the second-order surface dark solitons are numerically simulated. The relationship between their waveforms and the propagation constants and the non-local state of the medium is studied. Based on their stability analysis The theoretical derivation and numerical simulation are carried out.The stability analysis results show that the dark solitons on 1 + 1-D nonlocal ground state surface are always stable in their existence region, while the second-order surface dark solitons are regionally unstable, and their unstable regions The width is related to the propagation constant and the non-local extent of the medium, and is more affected by the propagation constant. The initial noise-free input transmission map verifies the correctness of the stability analysis.