For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed...For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.展开更多
Renormalization group recursions are obtained by virtue of the variational cumulant expansion method. Good qualitative estimates are obtained for the d=2 square Ising system.
The variational cumulant expansion developed in recent years has been extended to treat the Ising model in statistical physics.In this paper,a detailed calculation of the critical temperature T c (L) and criti...The variational cumulant expansion developed in recent years has been extended to treat the Ising model in statistical physics.In this paper,a detailed calculation of the critical temperature T c (L) and critical exponent β(L) for the magnetic film of L layers are presented by means of the variational cumulant expansion.For L >1,the results of our theoretical calculations are in approximate coincidence with the experimental ones made before,and for the special case of L =1 (2 D),the results of the calculation are identical to the data from other reports.展开更多
局部放电是电力变压器绝缘劣化的主要原因,研究局部放电定位对提高电网的安全运行很有帮助。该文研制了一种用于电力变压器局部放电定位的复合传感器,并针对该传感器进行了定位仿真和实验。复合传感器由共形的13阵元十字形超声波传感器...局部放电是电力变压器绝缘劣化的主要原因,研究局部放电定位对提高电网的安全运行很有帮助。该文研制了一种用于电力变压器局部放电定位的复合传感器,并针对该传感器进行了定位仿真和实验。复合传感器由共形的13阵元十字形超声波传感器阵列和22阵元的超高频传感器阵列组成。应用高阶累积量处理技术对十字形超声阵列进行虚拟扩展,扩展后阵列具有61个阵元的阵列性能,提高了超声阵列的孔径和方向性锐度,这极大减少了后续硬件电路和成本。利用扩展超声阵列配合超高频阵列来仿真局部放电定位,结果表明扩展阵列具有很好的定位效果。在噪声背景下与多重信号分类(multiple signal classification,MUSIC)方法作了比较,结果表明高阶累积量处理技术能更好地抑制各种高斯色噪声的干扰。基于该十字形超声波阵列传感器进行了局部放电定位实验,结果表明扩展后的十字形超声阵列能精确地定位局部放电,定位的相对误差小于5%。对较少数目阵元的阵列实施虚拟扩展技术,为阵列技术在电力设备上的实用化提供了可能性。展开更多
基金Project supported by the Natural Science Foundation of Fujian Province,China (Grant No.2011J01018)the National Natural Science Foundation of China (Grant No.11175113)
文摘For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.
文摘Renormalization group recursions are obtained by virtue of the variational cumulant expansion method. Good qualitative estimates are obtained for the d=2 square Ising system.
文摘The variational cumulant expansion developed in recent years has been extended to treat the Ising model in statistical physics.In this paper,a detailed calculation of the critical temperature T c (L) and critical exponent β(L) for the magnetic film of L layers are presented by means of the variational cumulant expansion.For L >1,the results of our theoretical calculations are in approximate coincidence with the experimental ones made before,and for the special case of L =1 (2 D),the results of the calculation are identical to the data from other reports.
文摘局部放电是电力变压器绝缘劣化的主要原因,研究局部放电定位对提高电网的安全运行很有帮助。该文研制了一种用于电力变压器局部放电定位的复合传感器,并针对该传感器进行了定位仿真和实验。复合传感器由共形的13阵元十字形超声波传感器阵列和22阵元的超高频传感器阵列组成。应用高阶累积量处理技术对十字形超声阵列进行虚拟扩展,扩展后阵列具有61个阵元的阵列性能,提高了超声阵列的孔径和方向性锐度,这极大减少了后续硬件电路和成本。利用扩展超声阵列配合超高频阵列来仿真局部放电定位,结果表明扩展阵列具有很好的定位效果。在噪声背景下与多重信号分类(multiple signal classification,MUSIC)方法作了比较,结果表明高阶累积量处理技术能更好地抑制各种高斯色噪声的干扰。基于该十字形超声波阵列传感器进行了局部放电定位实验,结果表明扩展后的十字形超声阵列能精确地定位局部放电,定位的相对误差小于5%。对较少数目阵元的阵列实施虚拟扩展技术,为阵列技术在电力设备上的实用化提供了可能性。
