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通过对普适于不同内包层边界条件下的热传导方程进行推导和求解,得到了不同内包层形状的双包层增益光纤所对应的掺铥光纤放大器的三维热分布。计算结果表明,双包层光纤不同内包层形状可导致纤芯处的温度差高达107 K。同时,信号光与泵浦光功率的比值决定了温度最高点和熔接点的距离,在泵浦光功率为100 W、信号光功率为10 mW的情况下,两者之间的距离可达30 cm。通过分析不同内包层形状的双包层光纤的径向与轴向的热分布情况发现,相较于其他内包层形状的双包层光纤,偏芯型双包层掺铥光纤因其具有较低的最高温度、较高的泵浦效率和高斯型横截面热分布而较适用于掺铥光纤放大器。
By deducing and solving the heat conduction equation which is universally applicable to the different inner cladding boundary conditions, the three-dimensional heat distribution of the doped 铥 fiber amplifier corresponding to the double cladding gain fiber with different inner cladding shapes is obtained. The calculated results show that the different inner cladding shape of double-clad fiber can lead to a temperature difference of up to 107K at the core. At the same time, the ratio of signal light to pump light power determines the distance between the highest temperature point and the welding point. With a pump power of 100 W and a signal light power of 10 mW, the distance between the two can reach 30 cm. By analyzing the radial and axial heat distributions of the double-clad fibers with different inner cladding shapes, it is found that the eccentric double-cladding fibers have a lower density compared to other double clad fibers with inner cladding shapes Of the maximum temperature, high pump efficiency and Gaussian cross-section heat distribution and more suitable for doped 铥 fiber amplifier.