On the speed of gravity and the v/c corrections to the Shapiro time delay

Using a relatively simple method, I compute the v/c correction to the gravitational time delay for light passing by a massive object moving with speed v. It turns out that the v/c effects are too small to have been measured in the recent experiment involving Jupiter and quasar J0842+1845 that was used to measure the speed of gravity.     

The effect of dispersive and non-dispersive channels on time delay estimation

The cepstrum and complex demodulation for both wrapped and unwrapped phase outputs are examined as to their performance in the presence of amplitude distortion and dispersion in a channel. With amplitude distortion, complex demodulation is a more powerful processor than cepstrum unless zeros occur in the amplitude spectrum of the distortion. Such singularities disrupt the unwrapped phase output completely and, unless removed, limit the useful region of the wrapped phase output. With phase distortion or dispersion, both the cepstrum and complex demodulation (wrapped phase output) yield biased time delay estimates. A successful phase unwrapping process in complex demodulation enables the correct estimate of the time delay in the presence of dispersion. In addition, the dispersion itself is extracted.     

The effect of time delay on Approximate & Sample Entropy calculations

Approximate and Sample Entropy are two widely used techniques to measure system complexity or regularity based on chosen parameters such as pattern length, m, and tolerance, r. In this paper, we investigate how different values of the time delay parameter, τ can be used in conjunction with standard values of m and r in the computation of Approximate and Sample Entropy. The results show that for time series generated by nonlinear dynamics that have long range correlation, a time delay equal to the first zero crossing or minimum of the autocorrelation function can provide additional information into the characteristics of the time series that may be useful in comparative analysis. With a unity delay, we demonstrate that Approximate and Sample Entropy are possibly measuring only the (linear) autocorrelation properties of the signal, and these are highly invariant under surrogate data generation methods. Hence when this occurs, the complexity measures of the surrogate and original data are not statistically different.     

Scalar observations from a class of high-dimensional chaotic systems: Limitations of the time delay embedding

The time delay embedding for the reconstruction of a state space from scalar data introduces strong folding of the smooth manifold in which a chaotic attractor is embedded, which is absent in some more natural state space. In order to observe the deterministic nature of data, the typical length scale related to this folding has to be resolved. Above this length scale the data appear to be random. For a particular model class we prove these statements and we derive analytically the dependence of this length scale on the complexity of the system. We show that the number of scalar observations required to observe determinism increases exponentially in the product of the system's entropy and dimension. (c) 1997 American Institute of Physics.     

The interpretation of binary (e, 2e) spectroscopy using spin-coupled theory

We discuss the possible interpretation of the (e, 2e) scattering technique (electron momentum spectroscopy) in terms of spin-coupled wave functions. The spin-coupled method is a modern valence bond approach which is based on a simple picture of singly occupied orbitais. In general these are highly localized, unlike their molecular orbital theory counterparts, and this has important consequences for the form of the momentum space orbitais to which the experimental differential cross-sections can be related. We compare spin-coupled and molecular orbital electron densities for individual orbitais of LiH, NH, CH₂CHF and CH₂CHCl, both in momentum space and in the more familiar position space representation. Finally, we comment briefly on the possible significance of this new approach for resolving the present discrepancies between theory and experiment for NH₃, H₂O and HF.     

时间延迟对偶极子光导天线空间功率合成影响分析

对偶极子光导天线空间功率合成中时间延迟的影响进行了分析。利用太赫兹时域光谱技术分别获取了34, 500, 1000 m偶极子光导天线的太赫兹时域光谱。采用数值模拟方法分析时间延迟对空间功率合成的影响。结果发现:在满足空间功率合成时域相干度60%的条件下,两个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为350.7, 467.6, 450.9 fs;三个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为191.1, 250.5, 267.2 fs;四个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为167, 200.4, 217.1 fs。试验结果表明,空间功率合成数值模拟仿真能为偶极子光导天线阵列的物理实验提供重要依据。     

时间延迟对偶极子光导天线空间功率合成影响分析

对偶极子光导天线空间功率合成中时间延迟的影响进行了分析。利用太赫兹时域光谱技术分别获取了34, 500, 1000 m偶极子光导天线的太赫兹时域光谱。采用数值模拟方法分析时间延迟对空间功率合成的影响。结果发现:在满足空间功率合成时域相干度60%的条件下,两个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为350.7, 467.6, 450.9 fs;三个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为191.1, 250.5, 267.2 fs;四个34, 500, 1000 m偶极子光导天线阵列的相对最大时间延迟分别为167, 200.4, 217.1 fs。试验结果表明,空间功率合成数值模拟仿真能为偶极子光导天线阵列的物理实验提供重要依据。     

组合时延估计及人工时延方法用于脉冲相干多普勒测速去模糊

提出了一种改进的脉冲相干多普勒测速的速度模糊消除方法,将待测速度空间以两倍最大可测速度的间隔划分为一系列速度区间,使得对任意速度的测量转化为对速度区间的确定和区间内速度偏移量的测量,通过\     

Shapiro effect in the light pulse testing of gravitational theories

A possibility of using the delay of light signals passing close to the Sun for testing gravitational theories is discussed. A metric rigidly binds the observables: if the time delay of the signal is known, the angle of deviation of the observed beam, its impact parameter and perihelion in the distant observer’s Galilean frame of reference should be well defined. This allows the Schwarzschild and Papapetrou metrics to be tested if the delay measurement error is no larger than a few microseconds.     

Theoretical calculation of turn-on delay time of VCSEL and effect of carriers recombination

It is known that the turn-on delay time, t_d, for semiconductor lasers depends on the functional form of the recombination rate. Previously, an analytic expression for t_d had been obtained, following simple approximations. In this paper, on the basis of the rate equations for quantum well vertical cavity surface emitting lasers (VCSEL), an explicit analytical expression for the turn-on delay of the VCSEL has also been deduced for the general case. The time evolution of the carrier density within the turn-on period of VCSEL has been derived for the case, where the Auger effect is considered as a term proportional to the cube of the carrier density.     

Spin-dependent delay time and Hartman effect in asymmetrical graphene barrier under strain

We study the spin-dependent tunneling time, including group delay and dwell time, in a graphene based asymmetrical barrier with Rashba spin–orbit interaction in the presence of strain, sandwiched between two normal leads. We find that the spin-dependent tunneling time can be efficiently tuned by the barrier width, and the bias voltage. Moreover, for the zigzag direction strain although the oscillation period of the dwell time does not change, the oscillation amplitude increases by increasing the incident electron angle. It is found that for the armchair direction strain unlike the zigzag direction the group delay time at the normal incidence depends on the spin state of electrons and Hartman effect can be observed. In addition, for the armchair direction strain the spin polarization increases with increasing the RSOI strength and the bias voltage. The magnitude and sign of spin polarization can be manipulated by strain. In particular, by applying an external electric field the efficiency of the spin polarization is improved significantly in strained graphene, and a fully spin-polarized current is generated.     

Method of array shape calibration based on time delay estimation using two auxiliary sources

As for a flexible horizontal array deployed in the sea, it is difficult to obtain each sensor's precise relative position. Therefore a method of array shape calibration is proposed. The method is described as follows. Firstly two separate auxiliary sources are deployed. Secondly tune delay of each sensor's received signal is estimated. Finally, with the aid of GPS location of the sources and the horizontal array, relative sensor positions of the horizontal array can be determined. The estimation of relative sensor positions is unbiased. Simultaneously, simulation analysis has been done to estimate its standard variance, and the optimal flare angle of the two sources has been derived. Data of 2001 Asian Sea International Experiment have been used to validate the method. After array calibration, measured source azimuth angle agrees with the real one, and measured array gain agrees with the theoretical gain. In conclusion, the theoretical and experimental results both show that the method can determine each sensor's relative position precisely.     

Radiative transfer theory with time delay for the effect of pulse entrapping in a resonant random medium: General transfer equation and point-like scatterer model

Abstract

A pulse propagation of a vector electromagnetic wave field in a discrete random medium under the condition of Mie resonant scattering is considered on the basis of the Bethe–Salpeter equation in the two-frequency domain in the form of an exact kinetic equation which takes into account the energy accumulation inside scatterers. The kinetic equation is simplified using the transverse field and far wave zone approximations which give a new general tensor radiative transfer equation with strong time delay by resonant scattering. This new general radiative transfer equation, being specified in terms of the low-density limit and the resonant point-like scatterer model, takes the form of a new tensor radiative transfer equation with three Lorentzian time-delay kernels by resonant scattering. In contrast to the known phenomenological scalar Sobolev equation with one Lorentzian time-delay kernel, the derived radiative transfer equation does take into account effects of (i) the radiation polarization, (ii) the energy accumulation inside scatterers, (iii) the time delay in three terms, namely in terms with the Rayleigh phase tensor, the extinction coefficient and a coefficient of the energy accumulation inside scatterers, respectively (i.e. not only in a term with the Rayleigh phase tensor). It is worth noting that the derived radiative transfer equation is coordinated with Poynting's theorem for non-stationary radiation, unlike the Sobolev equation. The derived radiative transfer equation is applied to study the Compton–Milne effect of a pulse entrapping by its diffuse reflection from the semi-infinite random medium when the pulse, while propagating in the medium, spends most of its time inside scatterers. This specific albedo problem for the derived radiative transfer equation is resolved in scalar approximation using a version of the time-dependent invariance principle. In fact, the scattering function of the diffusely reflected pulse is expressed in terms of a generalized time-dependent Chandrasekhar H-function which satisfies a governing nonlinear integral equation. Simple analytic asymptotics are obtained for the scattering function of the front and the back parts of the diffusely reflected Dirac delta function incident pulse, depending on time, the angle of reflection, the mean free time, the microscopic time delay and a parameter of the energy accumulation inside scatterers. These asymptotics show quantitatively how the rate of increase of the front part and the rate of decrease of the rear part of the diffusely reflected pulse become slower with transition from the regime of conventional radiative transfer to that of pulse entrapping in the resonant random medium.     

动态突触、神经耦合与时间延迟对神经元发放的影响

神经元膜电位的受激发放在神经系统的信息传递中起着重要作用.基于一个受动态突触刺激的突触后神经元发放模型,采用数值模拟和傅里叶变换分析的方法研究了动态突触、神经耦合与时间延迟对突触后神经元发放的影响.结果发现:突触前神经元发放频率与Hodgkin-Huxley神经元的固有频率发生共振决定了突触后神经元发放的难易,特定频率范围内的电流刺激有利于神经元激发,动态突触输出的随机突触电流中这些电流刺激所占的比率在很大程度上影响了突触后神经元的发放次数;将突触后神经元换成神经网络后,网络中神经元之间的耦合可以促进神经元的发放,耦合中的时间延迟可以增强这种促进作用,但是不会改变神经耦合对神经元发放的促进模式.     

Recovery of delay time from time series based on the nearest neighbor method

We propose a method for the recovery of delay time from time series of time-delay systems. The method is based on the nearest neighbor analysis. The method allows one to reconstruct delays in various classes of time-delay systems including systems of high order, systems with several coexisting delays, and nonscalar time-delay systems. It can be applied to time series heavily corrupted by additive and dynamical noise.