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使用实模态计算非比例阻尼系统的复模态
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作者 魏向天 吴柏生 钟慧湘 《计算力学学报》 CAS CSCD 北大核心 2024年第4期790-794,800,共6页
提出一种利用实模态计算非比例阻尼系统复模态的新方法.首先,引入一个嵌入参数将无阻尼系统与阻尼系统联系起来,然后构造模态规范化条件.将非比例系统特征值和特征向量在无阻尼系统基础上对该参数实施摄动展开,得到展开系数的控制方程.... 提出一种利用实模态计算非比例阻尼系统复模态的新方法.首先,引入一个嵌入参数将无阻尼系统与阻尼系统联系起来,然后构造模态规范化条件.将非比例系统特征值和特征向量在无阻尼系统基础上对该参数实施摄动展开,得到展开系数的控制方程.每个特征向量展开系数可借助Nelson法求解具有同一个对称实系数矩阵的方程组来求得.该方法仅涉及感兴趣的模态,无模态截断问题,不要求广义逆,也不需要将矩阵扩维.本文以两个数值算例来说明本文方法的有效性. 展开更多
关键词 非比例阻尼 模态 摄动展开 模态规范化 Nelson方法
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Influence of Signal and Noise on Statistical Fluctuation of Single-Mode Laser System
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作者 XU Da-Hai CHENG Qing-Hua +1 位作者 CAO Li WU Da-Jin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5X期881-885,共5页
On the basis of calculating the steady-state mean normalized intensity fluctuation of a signal-mode laser system driven by both colored pump noise with signal modulation and the quantum noise with cross-correlation be... On the basis of calculating the steady-state mean normalized intensity fluctuation of a signal-mode laser system driven by both colored pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, we analyze the influence of modulation signal, noise, and its correlation form on the statistical fluctuation of the laser system. We have found that when the amplitude of modulation signal weakens and its frequency quickens, the statistical fluctuation will reduce rapidly. The by reducing the intensity of pump noise and quantum noise. statistical fluctuation of the laser system can be restrained Moreover, with prolonging of colored cross-correlation time, the statistical fluctuation of laser system experiences a repeated changing process, that is, from decreasing to augmenting, then to decreasing, and finally to augmenting again. With the decreasing of the value of cross-correlation coe~cient, the statistical fluctuation will decrease too. When the cross-correlation form between the real part and imaginary part of quantum noise is zero correlation, the statistical fluctuation of laser system has a minimum. Compared with the influence of intensity of pump noise, the influence of intensity of quantum noise on the statistical fluctuation is smaller. 展开更多
关键词 SIGNAL noise single-mode laser the steady-state mean normalized intensity fluctuation
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