Parametric characterization of Gaussian beams propagating through active media

On the basis of the intensity moment formalism, within the thin-sheet approach, the beam width, the beam quality and the kurtosis parameter of a Gaussian beam propagating through active media are investigated. The analysis considers both the homogeneously and inhomogeneously broadened cases. The dependence of the above three parameters on the small-signal gain, saturation intensity and input beam size is studied. The validity of the thin-sheet approximation for the range of propagation distances and physical parameters of the system is also discussed.     

A new approach for describing amplified spontaneous emission in a KrF excimer laser using z-dependency of gain-coefficient

Based on our recent realization concerning the geometrically dependent gain coefficient in self-terminating gas lasers, where it is shown that in one-dimensional approach it is z-dependent, we applied the gain formulation to explain, both numerically and analytically, the behavior of the amplified spontaneous emission (ASE) output energy vs. excitation length of the active medium. As an example, we used experimental measurements reported for a KrF excimer laser. In the approach it was realized that it is needed to present a gain-profile slightly lower than the gain-profile deduced from different reports appeared in the literature, where it is also indicating that the contribution of the ASE on the laser output is significant and it is the active medium length dependent. The present analytical presentation of the ASE output energy behavior, also, introduces a generalized formulation compared to that appeared in the literature. With this approach it is possible to remove most of the present ambiguities existing on understanding of the ASE behavior.     

Influence of the inversion depletion in the active medium on the evolution of ultrashort pulses in passively mode-locked solid-state lasers

An analytical treatment of the ultrashort-pulse generation in a solid-state laser is given taking into account gain saturation. The probability for the breakdown of the picosecond-pulse evolution caused by the amplification depletion is calculated. The influence of the active medium saturation on the satellite-pulse probability is investigated. Both probabilities characterize the mode-locking behaviour of the laser system and are calculated for various laser parameters to find an optimum laser regime.     

All-optical switching of solitons in an active nonlinear directional coupler

A numerical study of the all-optical switching properties of an active nonlinear directional coupler is presented. The switching power is reduced for both CW and soliton inputs because of the gain. The switching properties of the coupler are enhanced for solitons, which switch nearly completely. For ultrashort pulses, the effects of the bandwidth of the gain medium are considered by using a general form for the gain band. The gain spectrum of erbium is also considered as a specific example.     

自由电子激光器中的电子阻尼运动

建立了有阻尼项的摆方程,在小信号情况下,对方程进行了迭代求解.由解得的结果得到了增益函数的表达式.特别对弱阻尼和过阻尼情况进行了计算,分别得到了相应的增益函数简化公式.对阻尼项的来源和物理意义进行了详细的讨论. 关键词：     

Radiation Transfer in a Binary, Stochastic Medium with Strongly Fluctuating Parameters

The propagation of radiation in a three-dimensional, inhomogeneous, stochastic, scattering medium and in an equivalent homogeneous medium has been investigated by the small-angle iteration method. The statistical structure of the scattering parameters of a three-dimensional medium has been described within the framework of the two-dimensional Poisson process and the binary Markov process. The analytical data obtained point to the fact that the three-dimensional inhomogeneity of a stochastic medium significantly influences the radiation transfer in it.     

Temporal broadening of pulsed waves propagating through turbulent media

Pulse signals, propagating through a turbulent medium such as the ionosphere, can be distorted by dispersion and scattering from both the background medium and irregularities embedded in. Thus, the mean square pulse width is changed, and temporal broadening is introduced. We carry out a study on the temporal broadening with theoretical analyses and numerical simulations by using an analytical solution of two-frequency mutual coherence function obtained recently by iteration. As a case of study, pulse broadening is investigated in detail in trans-ionospheric propagation. Results show that most contributions are mainly from the dispersion of the background ionosphere and scattering effects of electron density irregularities in most cases.     

Steady-state and transient Raman gain in magnetoactive narrow band-gap semiconductors

Using the hydrodynamic model of semiconductor-plasmas and following the coupled-mode approach, a detailed analytical investigation is undertaken to study both steady-state and the transient Raman gain in transversely magnetized narrow band-gap semiconductors arising from electron density perturbations and molecular vibrations of the medium. Using the fact that the origin of stimulated Raman scattering (SRS) lies in the third-order susceptibility of the medium, we obtain an expression for the gain coefficient of the backward Stokes mode in steady-state and transient regimes and study the dependence of the magnetic field and pump pulse duration on its growth rate. The threshold pump intensity and optimum pulse duration for the onset of transient SRS are estimated. An externally applied magnetic field substantially enhances the transient SRS gain coefficient in narrow band-gap semiconductors, which can be of great use in the compression of scattered pulses.     

Simulations on false gain in recombination-pumped soft-X-ray lasers

-1 in the case of plasmas with short active medium lengths. The false gain in the case of fiber targets is found to be of equal magnitude to that for slabs in the case of plasmas with less than 0.1 cm active medium lengths. Calculations for slab targets predict that adopting a tolerance of ±1 cm^-1 for gain will severely restrict the time and the active medium length of the plasma that can be used for error-free observations, while those for fiber targets are found to be considerably relaxed. The effects of false gain in the 54.2 Å Na Balmer α laser is also investigated, again revealing the importance of this phenomena under optimum gain conditions. Received: 10 December 1996/Revised version: 12 March 1997     

交替迭代多约束波束优化设计

声学阵列波束形成器的阵增益、旁瓣级、稳健性等多个指标相互关联,对于包含加权向量范数约束和旁瓣控制的高增益波束优化设计问题,针对传统的内点法波束优化算法硬件实现困难及计算复杂度大等问题,提出了多约束交替迭代求解方法。通过引入辅助变量将范数约束和旁瓣约束解耦合,进而将多约束优化转化为两组单约束优化问题。给出了优化子问题的解析或近似解。理论分析表明,与现有内点优化算法相比,所提方法计算量较小,单次迭代复杂度仅为变量及约束个数的二次多项式。采用仿真和实测的阵列流形验证了设计效果,结果表明所提方法可实现旁瓣级,阵增益和稳健性等多个波束设计指标的合理折中,计算精度与二阶锥规划算法相当,但计算量更小。      

Gain compensated symmetric loaded transmission line exhibiting bidirectional negative group delay

A one-dimensional medium capable of bidirectional lossless negative group delay electromagnetic wave propagation is described. The medium is implemented as a microwave circuit comprising two symmetric resonator-loaded transmission lines, with active gain compensation and coupled through power combiners. We experimentally demonstrate the circuit is conditionally stable and is capable of lossless transmission of a finite bandwidth pulse in both directions. A measured group delay of ?600?ps with a gain of 1.12?dB in both directions is achieved for a Gaussian pulse with a bandwidth of 14?MHz modulated at a frequency of 280?MHz (NGD-bandwidth-product of 0.0084). This circuit demonstrates the possibility of constructing a one-dimensional spatial void.     

非线性增益介质中强激光热像的演化规律

高功率激光系统中的热像效应可能导致光束的峰值功率剧烈增加,增益非线性介质会使这种光强增幅更为强烈。基于菲涅尔-基尔霍夫衍射理论和非线性近轴波动方程,对强激光在增益克尔介质工作在饱和区时的热像产生过程进行理论分析,将光束传输方程中增益饱和部分进行麦克劳林展开,取其近似,经过推导得出了介质薄近似时热像强度解析式和热像位置。通过数值模拟对解析结论预测的热像强度和位置进行验证。仿真结果表明,热像的位置在衍射物相对于介质对称处,热像强度解析结果与模拟结果相符,在薄介质时,解析解与模拟结果拟合较好。热像强度随非线性介质内非线性效应增强而停止增加,此外,讨论了热像强度随调制类型的变化。     

Line-source excited impulsive EM field response of thin plasmonic metal films

In this paper, reflection against and transmission through thin plasmonic metal films, basic building blocks of many plasmonic devices, are analytically investigated directly in the time domain for an impulsive electric and magnetic line-source excitation. The electromagnetic properties of thin metallic films are modeled via the Drude model. The problem is formulated with the help of approximate thin-sheet boundary conditions and the analysis is carried out using the Cagniard–DeHoop technique. Closed-form space-time expressions are found and discussed. The obtained time-domain analytical expressions reveal the existence of the phenomenon of transient oscillatory surface effects along a plasmonic metal thin sheet. Illustrative numerical examples of transmitted/reflected pulsed fields are provided.     

Small-signal gain dependence on active medium length and axial thermal profile in metal-vapor lasers

We measure the small-signal gain coefficient g ₀ of a gold vapor laser for a 627.8 nm transition through the implementation of a discharge-driven oscillator-amplifier configuration. We study the gain dependence on the length of the laser active medium. In addition, we measure the output power of a copper-vapor laser for two different thermal insulator distributions and simulate the thermal-length profile to determine the effective length of the active medium. We show that the small-signal gain coefficient depends on the effective length of the active medium and do not depend on the physical (actual) length of the active medium.     

Ported from Self-Similar Analytic Solutions of Ginzburg--Landau Equation with Varying Coefficients

Employing the technique of symmetry reduction of analytic method, we solve the Ginzburg-Landau equation with varying nonlinear, dispersion, gain coefficients, and gain dispersion which originates from the limiting effect of transition bandwidth in the realistic doped fibres. The parabolic asymptotic self-similar analytical solutions in gain medium of the normal GVD is found for the first time to our best knowledge. The evolution of pulse amplitude, strict linear phase chirp and effective temporal width are given with self-similarity results in longitudinal nonlinearity distribution and longitudinal gain fibre. These analytical solutions are in good agreement with the numerical simulations. Furthermore, we theoretically prove that pulse evolution has the characteristics of parabolic asymptotic self-similarity in doped ions dipole gain fibres.     

Impact of strong localization of the incident power density on the nano-amplifier characteristics of active coated nano-particles

Resonant, active coated nano-particles (CNPs) have been advocated as effective nano-amplifiers and nano-lasers. When it is properly designed to be in its super-resonant state, an electrically small active CNP captures significantly more of the incident field energy than its physical size suggests is possible. The corresponding enhancement of its extinction cross section is correlated with the concentration of the local field energy into its gain region. This energy localization can be visualized with the behavior of the flow lines of the Poynting vector field in the neighborhood of the CNP. Strong expulsion of the optical power generated from the interaction of the captured incident field energy with the gain medium creates an intense scattered field. As the interactions between the scattered field and the exciting plane wave increase, optical vortices form in the neighborhood of the active CNP. Gain depletion eventually occurs when the increase in the effective gain sufficiently detunes the resonance. A simple model for the gain enhancement effects observed in active CNPs is proposed that relates the enhanced effective size of the CNP caused by the field localization to the required gain necessary to achieve its super-resonant state. A comparison of the metal-covered, gain core, active CNP studied previously to the experimentally realized gain-impregnated silica-covered metal “SPASER” suggests that the active CNP design would require significantly less gain while offering a much larger enhancement of the incident field. Proposed modifications of both geometries that augment the field localization suggest further reductions in the gain values needed to achieve significant amplification of the output signal.     

半导体泵浦铷蒸气激光器阈值特性

以速率方程为基础建立理论模型,采用迭代计算方法,对单程端面泵浦铷蒸气激光器的阈值特性进行了详细研究。研究表明,铷室温度和长度对阈值泵浦功率密度的影响具有等价性,存在使阈值功率密度达到最小的最佳铷室长度与温度组合。泵浦光线宽对阈值功率密度的影响基本呈线性;泵浦光线宽越宽,泵浦光中心波长与铷原子吸收波长的偏移量对阈值功率密度的影响越小;存在最佳的铷原子吸收线宽,使阈值功率密度达到最小;为减小阈值功率密度,铷室窗口片应尽量考虑镀膜,谐振腔输出耦合率不宜大于80%。     

激光平行平面有源腔自再现模的探求

实际的激光腔不可避免有增益介质的存在，同时，也不可能保证光强的泵浦分布是均匀的。这样光强分布的不均匀必然导致增益分布的不均匀，因此，在考虑自再现模时有考虑增益系数分布状态的必要。本文给出数学公式以及若干个增益分布模型的实例验证这种假设的可行性和合理性。     

基于左手介质后向波特性的微带天线小型化研究

基于色散性稳定、频带宽、电尺寸小的左手介质结构单元，设计了一种左手介质和传统介质相结合的微带天线基板结构，利用左手介质的后向波效应对传统介质中传播后的电磁波进行相位补偿，从而实现微带天线小型化设计.理论计算和数值仿真结果表明，工作于4.7 GHz的微带天线的物理尺寸被减小了37.92%，突破了传统微带天线的半波长要求的限制，而小型化的微带天线的增益、带宽等性能方面与传统天线相当，证明了用左手介质小型化微带天线的可行性和实用性.