In this paper, we give a definition of the Fermi function, or the so-called Woods-Saxon potential, a well-known potential in nuclear physics;then, we give a few of its applications as examples. Some important integral...In this paper, we give a definition of the Fermi function, or the so-called Woods-Saxon potential, a well-known potential in nuclear physics;then, we give a few of its applications as examples. Some important integrals, which involve this function, are computed discussing the integrability and convergence of these integrals. Following, we derive formulae that encounter the above-mentioned function to get nuclear and generalized moments;the radial Fourier transformation is also exposed. Some related applications are then given that use such important integrals;in particular, we give the computation in conjunction with the problem of getting the optical-model potential for heavy-ion interactions at intermediate energies. Finally, we conclude with important remarks to do with the evolution of the subject.展开更多
An efficient method for the analytic evaluation of the plasma dispersion function for the Fermi-Dirac distribution is proposed.The new method has been developed using the binomial expansion theorem and the Gamma funct...An efficient method for the analytic evaluation of the plasma dispersion function for the Fermi-Dirac distribution is proposed.The new method has been developed using the binomial expansion theorem and the Gamma functions.The general formulas obtained for the plasma dispersion function are utilized for the evaluation of the response function.The resulting series present better convergence rates.Several acceleration techniques are combined to further improve the efficiency.The obtained results for the plasma dispersion function are in good agreement with the known numerical data.展开更多
调制传递函数(modulation transfer function,MTF)是目前公认的最为客观、有效的光学镜头检测方法。针对ISO12233刃边法检测数据时存在误差,且抗噪性差的问题,提出了一种系统优化算法流程,通过基于最大类间方差法(Otsu)的Canny算子来提...调制传递函数(modulation transfer function,MTF)是目前公认的最为客观、有效的光学镜头检测方法。针对ISO12233刃边法检测数据时存在误差,且抗噪性差的问题,提出了一种系统优化算法流程,通过基于最大类间方差法(Otsu)的Canny算子来提高边缘检测的准确性和噪声抑制能力;将Bisquare方法代替最小二乘法以减小刃边拟合误差;采用三次Fermi函数求解边缘扩散函数(ESF),解决噪声引起的数据震荡以及离散数据后续处理中的误差问题。实验结果表明,与ISO12233算法相比,优化后的算法更准确,测试精度符合标准,完全满足实际工业生产中镜头检测任务的需求。展开更多
The dependences of Fermi-level pinning on interface state densities for the metal-dielectric, ploycrystalline silicon-dielectric, and metal silicide-dielectric interfaces are investigated by calculating their effectiv...The dependences of Fermi-level pinning on interface state densities for the metal-dielectric, ploycrystalline silicon-dielectric, and metal silicide-dielectric interfaces are investigated by calculating their effective work functions and their pinning factors. The Fermi-level pinning factors and effective work functions of the metal-dielectric interface are observed to be more susceptible to the increasing interface state densities, differing significantly from that of the ploycrystalline silicon-dielectric interface and the metal silicide-dielectric interface. The calculation results indicate that metal silicide gates with high-temperature resistance and low resistivity are a more promising choice for the design of gate materials in metal-oxide semiconductor（MOS） technology.展开更多
文摘In this paper, we give a definition of the Fermi function, or the so-called Woods-Saxon potential, a well-known potential in nuclear physics;then, we give a few of its applications as examples. Some important integrals, which involve this function, are computed discussing the integrability and convergence of these integrals. Following, we derive formulae that encounter the above-mentioned function to get nuclear and generalized moments;the radial Fourier transformation is also exposed. Some related applications are then given that use such important integrals;in particular, we give the computation in conjunction with the problem of getting the optical-model potential for heavy-ion interactions at intermediate energies. Finally, we conclude with important remarks to do with the evolution of the subject.
文摘An efficient method for the analytic evaluation of the plasma dispersion function for the Fermi-Dirac distribution is proposed.The new method has been developed using the binomial expansion theorem and the Gamma functions.The general formulas obtained for the plasma dispersion function are utilized for the evaluation of the response function.The resulting series present better convergence rates.Several acceleration techniques are combined to further improve the efficiency.The obtained results for the plasma dispersion function are in good agreement with the known numerical data.
文摘调制传递函数(modulation transfer function,MTF)是目前公认的最为客观、有效的光学镜头检测方法。针对ISO12233刃边法检测数据时存在误差,且抗噪性差的问题,提出了一种系统优化算法流程,通过基于最大类间方差法(Otsu)的Canny算子来提高边缘检测的准确性和噪声抑制能力;将Bisquare方法代替最小二乘法以减小刃边拟合误差;采用三次Fermi函数求解边缘扩散函数(ESF),解决噪声引起的数据震荡以及离散数据后续处理中的误差问题。实验结果表明,与ISO12233算法相比,优化后的算法更准确,测试精度符合标准,完全满足实际工业生产中镜头检测任务的需求。
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61376096,61327813,and 11234007)
文摘The dependences of Fermi-level pinning on interface state densities for the metal-dielectric, ploycrystalline silicon-dielectric, and metal silicide-dielectric interfaces are investigated by calculating their effective work functions and their pinning factors. The Fermi-level pinning factors and effective work functions of the metal-dielectric interface are observed to be more susceptible to the increasing interface state densities, differing significantly from that of the ploycrystalline silicon-dielectric interface and the metal silicide-dielectric interface. The calculation results indicate that metal silicide gates with high-temperature resistance and low resistivity are a more promising choice for the design of gate materials in metal-oxide semiconductor（MOS） technology.
