Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a dissipative system increases without limit at certain values of the system parameters. Using the method of collective variable app...Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a dissipative system increases without limit at certain values of the system parameters. Using the method of collective variable approach, we have found an approximate relation between the parameters of the normalized complex cubic-quintic Ginzburg-Landau equation where the resonance manifests itself. Comparisons between the results obtained by collective variable approach, and those obtained by the method of moments show good qualitative agreement. This choice also helps to see the influence of the active terms on the resonance curve, so can be very useful in constructing passively mode-locked laser that generate solitons with the highest possible energies.展开更多
It is shown that the 3d5(4X) 4s(5X)of 4s satellites ,except to the coupling between 3d54s(7,5S) and 3p→ 3d transition ,plays a key role on the magnitude of photoionization of 4s cross section .The coupled equation me...It is shown that the 3d5(4X) 4s(5X)of 4s satellites ,except to the coupling between 3d54s(7,5S) and 3p→ 3d transition ,plays a key role on the magnitude of photoionization of 4s cross section .The coupled equation methodis improvedto calculate this resonance by including these channels .The results of calculations are compared with the experimental data from 4 6eV to 5 6eV photon energies,which are in good agreement with the experiment.展开更多
In this contribution,we introduce numerical continuation methods and bifurcation theory,techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter dependence of bound a...In this contribution,we introduce numerical continuation methods and bifurcation theory,techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter dependence of bound and resonant states of the quantum mechanical Schrodinger equation.We extend previous work on the subject[1]to systems of coupled equations.Bound and resonant states of the Schrodinger equation can be determined through the poles of the S-matrix,a quantity that can be derived from the asymptotic form of the wave function.We introduce a regularization procedure that essentially transforms the S-matrix into its inverse and improves its smoothness properties,thus making it amenable to numerical continuation.This allows us to automate the process of tracking bound and resonant states when parameters in the Schrodinger equation are varied.We have applied this approach to a number of model problems with satisfying results.展开更多
The coupled equation method (CEM) has been applied to investigating the resonance structures for the ground state 1s^22s^ 2S of the neutral lithium from the first threshold up to 64.5 eV. Resonance structures of ato...The coupled equation method (CEM) has been applied to investigating the resonance structures for the ground state 1s^22s^ 2S of the neutral lithium from the first threshold up to 64.5 eV. Resonance structures of atomic lithium due to single excitations of the ls and 2s electrons are studied by infinite-order calculations in detail. The effect of spin-orbit splitting is also included for some of the low-lying ls2snp(↑↓) resonance, and the influence of the interference between 1s^2s^3 Snp .↓ and 1s2s^ 1 Snp ↑ states on the resonance structure has been confirmed theoretically. The results show that the presented technique can give the reasonable resonance structures very well in photoionization processes.展开更多
无线电能传输技术实现了对设备的非接触供电,适应了特殊场合(如移动设备和旋转设备)供电需求,避免了传统传导式供电带来的诸多问题。然而在实际应用中(如医学电子胶囊、无线供电时的信息反馈等),在能量无线传输的同时还要求信息的同步...无线电能传输技术实现了对设备的非接触供电,适应了特殊场合(如移动设备和旋转设备)供电需求,避免了传统传导式供电带来的诸多问题。然而在实际应用中(如医学电子胶囊、无线供电时的信息反馈等),在能量无线传输的同时还要求信息的同步传输。针对这类应用,提出一种新型双谐振结构,利用其固有的双谐振特性,在一对线圈中实现能量和信号的同步传输。在分析双谐振电路特性的基础上,通过提出传输因子的概念,分析其信道带宽与响应时间,并研究传输因子与能量/信息传输性能的关系。实验表明,当负载小于10Ω,传输距离小于120 mm时,能量传输效率高于70%。通过开关键控调制方式,在负载值1.31Ω、距离122 mm时,实现了50 k Hz的有效传输。展开更多
文摘Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a dissipative system increases without limit at certain values of the system parameters. Using the method of collective variable approach, we have found an approximate relation between the parameters of the normalized complex cubic-quintic Ginzburg-Landau equation where the resonance manifests itself. Comparisons between the results obtained by collective variable approach, and those obtained by the method of moments show good qualitative agreement. This choice also helps to see the influence of the active terms on the resonance curve, so can be very useful in constructing passively mode-locked laser that generate solitons with the highest possible energies.
文摘It is shown that the 3d5(4X) 4s(5X)of 4s satellites ,except to the coupling between 3d54s(7,5S) and 3p→ 3d transition ,plays a key role on the magnitude of photoionization of 4s cross section .The coupled equation methodis improvedto calculate this resonance by including these channels .The results of calculations are compared with the experimental data from 4 6eV to 5 6eV photon energies,which are in good agreement with the experiment.
文摘In this contribution,we introduce numerical continuation methods and bifurcation theory,techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter dependence of bound and resonant states of the quantum mechanical Schrodinger equation.We extend previous work on the subject[1]to systems of coupled equations.Bound and resonant states of the Schrodinger equation can be determined through the poles of the S-matrix,a quantity that can be derived from the asymptotic form of the wave function.We introduce a regularization procedure that essentially transforms the S-matrix into its inverse and improves its smoothness properties,thus making it amenable to numerical continuation.This allows us to automate the process of tracking bound and resonant states when parameters in the Schrodinger equation are varied.We have applied this approach to a number of model problems with satisfying results.
基金This work was supported by the Natural Science Foundation of Yantai Normal University under Grant No.22270301 and L20072804.
文摘The coupled equation method (CEM) has been applied to investigating the resonance structures for the ground state 1s^22s^ 2S of the neutral lithium from the first threshold up to 64.5 eV. Resonance structures of atomic lithium due to single excitations of the ls and 2s electrons are studied by infinite-order calculations in detail. The effect of spin-orbit splitting is also included for some of the low-lying ls2snp(↑↓) resonance, and the influence of the interference between 1s^2s^3 Snp .↓ and 1s2s^ 1 Snp ↑ states on the resonance structure has been confirmed theoretically. The results show that the presented technique can give the reasonable resonance structures very well in photoionization processes.
文摘无线电能传输技术实现了对设备的非接触供电,适应了特殊场合(如移动设备和旋转设备)供电需求,避免了传统传导式供电带来的诸多问题。然而在实际应用中(如医学电子胶囊、无线供电时的信息反馈等),在能量无线传输的同时还要求信息的同步传输。针对这类应用,提出一种新型双谐振结构,利用其固有的双谐振特性,在一对线圈中实现能量和信号的同步传输。在分析双谐振电路特性的基础上,通过提出传输因子的概念,分析其信道带宽与响应时间,并研究传输因子与能量/信息传输性能的关系。实验表明,当负载小于10Ω,传输距离小于120 mm时,能量传输效率高于70%。通过开关键控调制方式,在负载值1.31Ω、距离122 mm时,实现了50 k Hz的有效传输。