提出了一种基于黄金分割比的新型长程介质加载表面等离子激元波导(LR-DLSPPW)结构，在通信波长λ0=1.55 μm情形下，运用有限元法对这种波导基模的归一化电场分布、模式有效折射率、衰减常数、传播长度、模式宽度、品质因数和耦合长度等传输特性参数进行了仿真分析计算。结果表明，与不具有黄金分割比的类似波导相比，基于黄金分割比的LR-DLSPPW具有较长的传播长度1.36 mm和较小的模式宽度1.35 μm；另一方面，当介质脊面积保持为0.9 μm2不变且介质脊高宽比值取为黄金分割比时，其品质因数会出现一个超过6.15×105的最大值。此外，当相邻波导之间的间隔超过3 μm时，相邻波导间的串扰可被忽略。显然，这种基于黄金分割比的新型波导结构能够很好地应用于高密度光子集成回路的设计中。

A novel long-range dielectric-loaded surface plasmon polariton waveguide (LR-DLSPPW) structure based on the golden ratio is proposed. Transmission characteristics, like the normalized electric field distribution, mode effective index, attenuation constant, propagation distance, mode width, figure of merit (FOM), and coupling length of this kind of waveguide, have been analyzed and numerically calculated via the finite element method at the telecom wavelength of λ0= 1.55 μm. The results show that the LR-DLSPPW based on the golden ratio has a longer propagation distance of 1.36 mm and a smaller mode width of 1.35 μm compared to non-golden ratio waveguides. When the height-width ratio of the dielectric ridge is at the golden ratio with a fixed area of 0.9 μm2, its FOM has a maximum value larger than 6.15×105. In addition, the crosstalk can be ignored when the distance between two adjacent waveguides exceeds 3 μm. Consequently, the designed waveguide has significant potential for applications in design of high density integrated optoelectronic circuits.