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以径向步长和角向步长为基本变量,介绍了极坐标有限差分光束传播法(FD-BPM)理论,可提高仿真结果的直观程度与效率。确定了不同波长在单模波导中传输的等效参数,建立了等效传输数值模型,在忽略波导吸收与散射损耗的前提下,应用所提出的FD-BPM对几个典型波长的传输进行了仿真分析,得到不同波长的稳定传输临界波导曲率半径,仿真精度达到100μm,并确定了不同波长形成稳定导模时,导模能量密度的归一化传输极限值,得到了波长与临界曲率半径关系的变化规律。
Taking the radial step and the angular step as the basic variables, the polar coordinate finite difference beam propagation (FD-BPM) theory is introduced to improve the visualization degree and efficiency of the simulation results. The equivalent parameters of different wavelength transmission in a single-mode waveguide are determined, and the equivalent transmission numerical model is established. Under the premise of neglecting the absorption and scattering loss of the waveguide, the proposed FD-BPM is used to transmit several typical wavelengths Simulation and analysis, the radius of curvature of the critical transmission waveguide with different wavelengths is obtained, the simulation accuracy is up to 100μm, and the normalized transmission limits of the energy density of the guided mode are obtained when the stable guided modes are formed at different wavelengths. The relationship between the wavelength and the critical radius of curvature The law of change.