Langevin Treatment of Atomic Coherence Effect on Hybrid Erbium doped Fiber Amplification

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Impact of Interacting Quantum Coherence via Decays and Incoherent Pumping on Transient and Steady-State Behaviors of Absorption

The effects from quantum coherence via decays and incoherent pumping on the lasing without inversion(LWI) are investigated in a four-level system.By analyzing the transient and steady-state behaviors of the absorption,we find that the gain occurs when both spontaneously generated coherence(SGC) and coherence induced by incoherent pumping(IPC) are considered.We attribute the occurrence of the gain to the interaction of quantum coherence via decays and incoherent pumping.     

Influence of Doppler broadening and spontaneously generated coherence on propagation effect in a quasi lambda-type four-level system

In this paper we study influences of Doppler broadening, spontaneously generated coherence, and other system parameters on propagation effect in a quasi lambda-type four-level atomic system. It is shown that when the Doppler broadening is present, generally speaking, the values of gain and intensity of lasing without inversion (i.e. the probe field) in the co-propagating probe and driving fields case are much larger than those in the counter-propagating case; considerably larger gain and intensity of lasing without inversion than those without the Doppler broadening can be obtained by choosing appropriate values of the Doppler broadening width and spontaneously generated coherence strength. The gain and intensity of lasing without inversion increase with the increase of spontaneously generated coherence strength; when spontaneously generated coherence is present, much larger gain and intensity of lasing without inversion than those in the case without spontaneously generated coherence can be obtained. Choosing suitable values of the probe detuning, Rabi frequencies of the driving and pump fields at the entrance of the medium also can remarkably enhance the gain and intensity of lasing without inversion.     

稳态V型和Λ型无粒子数反转激光增益的比较研究

在相应参量取值相同的情况下,利用数值模拟的方法对比研究了封闭的V型和Λ型原子系统稳态增益随相干光场失谐量的变化规律.研究发现,这两种系统的稳态探测激光增益随探测激光场失谐量的变化曲线具有相似的形状,但数值上存在差异.这一现象与两种系统的原子相干性与粒子数分布的特点直接相关.另外,还发现驱动激光失谐及由于自发辐射诱导相干导致的原子相干性的增强能显著影响探测激光增益. 关键词： 无粒子数反转激光 失谐 原子相干性 粒子数分布     

双频激光泵浦光纤放大器中的原子相干效应

用密度矩阵的方法从理论上分析了不同频率的两个激光场混合泵浦的光纤放大器中，由光场诱导的原子相干效应。并由此引入相干修正因子，通过修正的速率方程讨论了两光场与原子的相干作用对放大器增益的影响。     

Coherence properties of an amplified spontaneous emission laser: experiments on a 10 Hz vacuum–ultraviolet H2-laser

Spatial coherence properties of a mirrorless laser, namely a 10 Hz Lyman-band molecular hydrogen laser pumped by femtosecond pulses of only 200 mJ, are studied. Assuming a Gaussian Schell-model source and using the generalized van Cittert–Zernike theorem we are able to measure both the coherence length arising from free-space propagation and the coherence length at the source plane. This analysis is particularly suitable to the study of the coherence properties of lasers operating in the amplified spontaneous emission regime and is particularly indicated for x-ray lasers. Measurements at various target lengths show a monotonic increase in the degree of spatial coherence and decrease in the source size versus length of the gain column. As a consequence, a monotonic decrease in the number of sustained transverse modes with length of the gain medium is observed, demonstrating the effects of gain guiding and refractive antiguiding.     

Optical parametric oscillators pumped by population-trapped atoms

We describe an optical parametric oscillator that is pumped by population-trapped atoms that are prepared with maximum coherence. The oscillator is based on the use of an effective nonlinear susceptibility that is of the same order as the linear susceptibility. Because the parametric gain is obtained in a single coherence length, the gain bandwidth can exceed the degenerate frequency. In Pb vapor the calculated gain is maximized at 1.88 microm and has a bandwidth of ~7500 cm(-1).     

Shallow water narrowband coherence measurements in the Florida Strait

A set of measures of coherence are defined and applied to the CALOPS experiment, conducted off the coast of Florida in the summer of 2007. A set of narrowband CW tones were transmitted from a towed source received on a 118-element bottom mounted horizontal line array (206 m aperture) with broadside oriented along the 250 m isobath. Two coherence measures are based upon the eigenvalue spread: the power factor and the eigenvalue ratio. This approach is not sensitive to array element error or model mismatch. Two measures are based upon phase residuals; these include the rms-phase error and the coherence function. Three measures are based upon power responses: beam width, array signal gain degradation, and array gain. These approaches have varying sensitivity to array location errors, model mismatch, signal-to-noise ratio, and the structure of the noise field. A Gaussian noise model is used to infer a coherence length from most of the coherence measures. The primary result is that coherence lengths increase with frequency and are on the order of 200 m, the length of the array. The frequency increased coherence length with frequency goes against conventional wisdom, which is to define the coherence length as a fixed number of wavelengths.     

Probe gain with population inversion in a four-level atomic system with vacuum-induced coherence

For a four-level atomic system with a doublet of closely spaced levels, we find that, owing to the coherence that results from the vacuum of the radiation field, population trapping at excited levels and probe gain with population inversion can be achieved with weak incoherent pumping. This gain is different from both the conventional lasing gain and gain without inversion in that there exists population inversion on probe transitions but the inversion is achieved by the vacuum-induced coherence.     

四能级双V型原子系统中考虑自发辐射相干的无粒子数反转激光

提出了一个由两个弱探测场和两个强耦合场驱动的四能级双V型原子系统, 研究发现在四波混频共振条件下, 两探测场均可被放大而无须粒子数反转. 值得注意的是, 由于所选择的激发态为超精细结构的两个近能级, 这里必须考虑自发辐射相干效应的影响. 与不考虑自发辐射相干相比, 同样参数条件下探测场的增益得到大幅度提高.而且, 探测场增益对相位非常敏感, 即增益-吸收线型受相位周期性调制, 同时也受两个偶极矩之间夹角θ制约. 此外还分析了相干抽运场 (强耦合场)的失谐对增益谱线产生的影响. 关键词： 无粒子数反转激光 四波混频 自发辐射相干     

Λ系统中自发辐射产生的原子干涉：无反转激光

Λ系统中的自发辐射能够产生原子干涉.证明这样的原子干涉可以诱导无反转激光的产生,并分析这样的原子干涉对激光增益发生作用的特点.     

Cross-correlation procedures for measuring noise and distortion in AGC hearing aids

The magnitude-squared coherence function (MSC) has been used to measure noise and distortion in linear and compression hearing aids. However, the MSC will overestimate the distortion in a linear time-varying system such as a compression amplifier. The reduction in coherence caused by varying the gain in an otherwise linear system can be substantial, and can lead to large errors in estimating the distortion present in a compression hearing aid. The effects of gain changes in a linear system can be reduced by measuring the normalized system input-output cross correlation, which emphasizes the variance in the system phase response and deemphasizes the system gain fluctuations. Estimates of the total noise and distortion produced using the MSC, phase variance, and notched-noise measurement techniques are compared for additive noise, clipping distortion, and compression amplification. The MSC is found to give the most accurate results for estimating the noise and distortion in a linear time-invariant system, and the notched noise measurements are the most accurate for a compression system. The phase variance is found to give reasonable measurements for a time-varying gain as long as the system variations are slow relative to the length of the analysis data segments.     

The spatial coherence properties of the spontaneous emission in the one-dimensional strong random system with gain

By using the finite difference time domain method, the spatial coherence properties of the spontaneous emission in the one-dimensional strong random system with gain are investigated in detail. Results show that the coherence properties improve slowly with the increase of the system length at low pump rates. And at high pump rates the coherence properties obviously become better after a certain system length. While at very high pump rates it is a non-monotonic function of the system length, there exists the best coherence at a certain system length. These behaviors are explained by Lamb theory and scaling theory. Our study may be helpful to the designing of random lasers.     

Phase control in an open Λ-type system with spontaneously generated coherence

This paper investigates the control role of the relative phase between the probe and driving fields on the gain, dispersion and populations in an open A system with spontaneously generated coherence （SGC）. It shows that by adjusting the value of the relative phase, a change from lasing with inversion to lasing without inversion can be realized; the values and frequency spectrum regions of the inversionless gain and dispersion can be obviously varied; high refractive index with zero absorption and electromagnetically induced transparency can be achieved. It is also found that when the driving field is resonant, the shapes of the dispersion and the gain curves versus the probe detuning are very similar if the relative phase of the dispersion lags π/2 than that of the gain, however for the off-resonant driving field the similarity will disappear; the gain, dispersion and populations are periodical functions of the relative phase, the modulation period is always 2π; the contribution of SGC to the inversionless gain and dispersion is much larger than that of the dynamically induced coherence.     

微波场驱动下V型三能级原子的吸收和色散特性

当用微波场作用到V型三能级原子的两个激发态能级时,系统跃迁路径之间发生交叉耦合导致了量子相干效应.通过调节微波场的强度,可实现对原子吸收和色散性质的改变,并呈现零吸收高折射率现象.此外,微波场诱导的量子相干也可实现相对相位对探测光增益的控制.     

微波场驱动下V型三能级原子的吸收和色散特性

当用微波场作用到V型三能级原子的两个激发态能级时,系统跃迁路径之间发生交叉耦合导致了量子相干效应.通过调节微波场的强度,可实现对原子吸收和色散性质的改变,并呈现零吸收高折射率现象.此外,微波场诱导的量子相干也可实现相对相位对探测光增益的控制.     

The spatial coherence properties of the spontaneous emission in the one-dimensional strong random system with gain

By using the finite difference time domain method, the spatial coherence properties of the spontaneous emission in the one-dimensional strong random system with gain are investigated in detail. Results show that the coherence properties improve slowly with the increase of the system length at low pump rates. And at high pump rates the coherence properties obviously become better after a certain system length. While at very high pump rates it is a non-monotonic function of the system length, there exists the best coherence at a certain system length. These behaviors are explained by Lamb theory and scaling theory. Our study may be helpful to the designing of random lasers.     

光子晶体光纤反常色散区抽运产生超连续谱的相干特性分析

使用复互相干度的定义对超连续谱的相干性进行了数值计算,得到了不同功率抽运情况下的脉冲谱展宽以及超连续谱相干性的变化.结果表明孤子自频移以及色散波辐射是抽运波长位于光纤反常色散区情况下超连续谱展宽的主要物理机理,而超连续谱的相干性则主要受到调制不稳定性的影响.调制不稳定性放大抽运脉冲自身携带的随机噪声,使得非线性效应产生的光谱成分具有随机的相位与幅度,引起超连续谱相干性的下降. 抽运功率越高, 调制不稳定性增益越高,噪声对超连续谱产生的作用越强, 超连续谱的相干性越差.要获得高相干的超连续谱, 需采用峰值功率较小的脉冲进行抽运.要获得大谱宽高相干的超连续谱, 则需要合理选择抽运脉冲功率.     

Ultrafast coherent electron transport in semiconductor quantum cascade structures

Coherent electron transport is studied in an electrically driven quantum cascade structure. Ultrafast quantum transport from the injector into the upper laser state is investigated by midinfrared pump-probe experiments directly monitoring the femtosecond saturation and subsequent recovery of electrically induced optical gain. We demonstrate for the first time pronounced gain oscillations giving evidence for a coherent electron motion. The coexistence of a long dephasing time of quantum coherence and high Coulomb scattering rates in the injector points to the occurrence of scattering-induced coherence in electron transport.     

Doppler展宽的封闭原子系统中无反转增益的相位控制

研究了在具有自发辐射诱导相干性的Doppler展宽的封闭Λ型三能级系统中探测场和驱动场之间的相对位相对探测场无反转增益的控制作用. 研究结果表明: 1) 不管探测场和驱动场是同向传播还是反向传播, 驱动场是失谐还是共振,无反转增益总是随相对位相的改变而作周期性变化,周期为2π. 2) 驱动场共振时,无反转增益极大值随Doppler展宽值的增大而单调减小,且反向传播时比同向传播时减小的速度更快;驱动场失谐时,无反转增益的极大值随Doppler展宽值的增大不再单调地减小或增大. 在以上两种情况下,均可以通过调 关键词： 自发辐射诱导相干 相位控制 Doppler展宽 无反转增益