Characteristics of microwave magneto-optic modulation based on magnetostatic waves

According to the magneto-optic (MO) perturbation theory, the coupled-mode equations for guided optical waves (GOWs) with microwave magneto-static waves (MSWs) in MO film waveguides are presented, which cannot only be used to analyze the MO modulation induced by MSW pulses, but also explain the optical pulse compression caused by chirped MSWs. The rectangular pulse modulation of continuous guided optical waves by magnetostatic forward volume waves (MSFVWs) excited under normal bias magnetic field is theoretically studied in detail. It is shown that: (1) the diffracted light pulse approximates to an isosceles trapezoid, which is in agreement with the experimental results, and the duration time and the flat-top response time are equal to the sum and difference between the width and transit time of the rectangular MSFVW pulse, respectively; (2) utilizing a small duty factor of MSFVW pulse helps to improve the modulating data rate, which is in inverse proportion to the transit time, and the relative peak intensity of the diffracted light pulse is less than the corresponding Bragg diffraction efficiency when the MSW duty factor is less than 0.5.     

基于两种静磁模的磁光压缩特性比较

将磁光效应作为微扰, 采用耦合模理论分析了磁光薄膜波导中微波静磁波对线性啁啾光脉冲的磁光Bragg衍射作用, 得到了传统磁化时磁光共线和非共线作用下的衍射光脉冲复振幅的解析表达式。在静磁波频率和波数相同的前提下, 通过对实际波导结构的计算表明, 基于静磁表面波的磁光共线作用比基于静磁正向体波的非共线作用更易于实现光脉冲压缩; 衍射光脉冲的半极大全宽度(FWHM)对失配斜率的依赖较为敏感。因此, 选用磁光共线作用和优化相位失配因子的频率变化率有助于改善磁光Bragg脉冲压缩器的性能。     

An effective method for improving diffraction performance of magnetostatic backward volume wave-based magneto-optic Bragg cells by using an appropriately tilted bias magnetic field in YIG film plane

The universal magneto-optic (MO) coupled-mode equations for magnetostatic waves (MSWs) and guided optical waves (GOWs) under arbitrarily tilted bias magnetic fields are presented for the first time and, as an example, applied to the noncollinear Stokes interaction between the incident TE₀-mode light and magnetostatic backward volume wave (MSBVW) excited by single-element microstrip line transducer in yttrium–iron–garnet (YIG) film. Our calculation indicates that, for the case of magnetization parallel to the MSBVW propagation direction, the diffraction efficiency (DE) is equal to the mode-conversion efficiency of the diffracted lights (MCDE) and the calculated curve of relative DE for the MSBVW-based MO Bragg cell in pure YIG waveguide is in good agreement with the experimental data. In contrast, the diffraction performance can be greatly improved by optimizing the bias magnetic field and the DE gain can be increased by 6.3 dB in the tangentially magnetized film. The angular dependences of the DE and the corresponding Bragg angle upon the magnetization direction are also discussed in the paper.     

基于微波静磁波的并行磁光频谱分析研究

利用多个频率的微波静磁波同时与导波光的磁光作用可产生多级Bragg衍射光的原理可实现并行磁光频谱分析,即微波频率与衍射光在傅里叶透镜焦平面上的位置一一对应,而微波信号强度由多频静磁波对导波光的衍射效率确定。根据三频静磁波与导波光的磁光耦合方程,进行了仿真计算,结果表明,通过考虑多频磁光衍射中相位失配因素对衍射效率的影响可很好地恢复多频信号的相对强度。     

静磁波与导波光的磁光耦合理论

根据耦合模理论,分析了砂光波导中静磁波与导波光的相互作用特点。给出了导波光模式之间的耦合方程。理论分析表明,仅当垂直磁化时,发生模式转换的导波光材被全部衍射,此时衍射效率等于模式转换效率。计算了斜向场作用下ＹＩＧ薄膜中导波光的反斯托克斯相互作用衍射效率,所得结论与实验结果一致。适当倾斜静磁场,导波光的模式转换和衍射效率均可比垂直磁化时间显提高。同时改变静磁体波传播方向和斜向场的偏离方向（与垂直方向     

磁光Bragg衍射中的相位失配分析

给出了任意倾斜偏置磁场作用下相位失配时微波静磁波与导波光的磁光耦合方程，分析了相位失配对导波光衍射效率及其衍射方向的影响.计算了YIG薄膜波导中静磁反向体波与导波光非共线作用的Bragg衍射效率, 传统磁化时计算结果与实验结果一致.计算表明，与传统磁化情形相比，适当的偏斜磁场可使导波光衍射效率提高6dB以上；当导波光入射角保持不变时，由磁场方向改变引起的相位失配对衍射效率的影响不大.因此，优化偏置磁场方向是改善磁光Bragg器件衍射性能、提高磁光带宽的有效方法. 关键词： 磁光效应 Bragg衍射 静磁波     

Spectral anomalies of diffracted chirped Gaussian pulses and their potential applications

Starting from the Rayleigh-Sommerfeld diffraction integral and without invoking the paraxial approximation, analytical expressions for the field distribution, far-field power spectrum and temporal far-field distribution of chirped Gaussian pulses diffracted at a circular aperture are derived, which enables us to study the spectral anomalous behavior of diffracted chirped Gaussian pulses in the far field. The potential applications of spectral anomalies of ultrashort pulses are discussed. It is found that at the critical angle the spectral switch appears. The frequency difference between the two equal heights of spectral switches increases and the corresponding critical diffraction angle slightly increases as the chirp parameter increases and pulse duration decreases. In a certain region of the truncation parameter, the critical angle decreases with increasing truncation parameter. By suitably varying the pulse duration, chirp parameter and truncation parameter, information encoding and transmission are achievable in the use of chirped Gaussian pulses.     

Soliton formation in hollow-core photonic bandgap fibers

The formation of solitons upon compression of linearly chirped pulses in hollow-core photonic bandgap fibers is investigated numerically. The dependence of soliton duration on the chirp and power of the input pulse and on the dispersion slope of the fiber is investigated, and the validity of an approximate scaling relation is tested. It is concluded that compression of input pulses of several ps duration and sub-MW peak power can lead to a formation of solitons with ∼100 fs duration and multi-megawatt peak powers. The dispersion slope of realistic hollow-core fibers appears to be the main obstacle for forming still shorter solitons.     

多频微波静磁波与导波光互作用研究

分析了磁光薄膜中同时激发的多个频率的静磁波对导波光的衍射作用过程,以三频为例推导了三级近似的耦合模方程,对于两频磁光作用的理论计算与实验基本一致.对于三频磁光作用,数值分析结果表明：对于主衍射效率（Principle Diffraction Efficiency,PDE）,小信号时只需考虑一级磁光作用.在超出小信号范围且PDE达到峰值之前,第三级磁光作用对PDE影响很小,只需考虑前两级磁光作用.小信号时,得到了PDE的近似解析表达式,在一定的频率间隔范围内与耦合方程的一级近似解较为符合.     

能量啁啾电子束自由电子激光放大啁啾脉冲

 提出采用具有能量啁啾电子束的自由电子激光放大器放大啁啾脉冲,分析说明了它的工作机理和滑移现象对其的影响。采用研制的1维非定态程序GOFEL-P,对能量啁啾自由电子激光放大器放大啁啾脉冲的过程进行了数值模拟和分析,计算了不同啁啾参数的脉冲被放大后的腔外压缩情况。结果表明：与单能电子束时相比,能量啁啾自由电子激光可以放大具有更大啁啾参数的啁啾脉冲,使压缩后的脉冲峰值功率增大至568 GW,脉冲宽度缩短至2.29 fs,大幅增强自由电子激光放大啁啾脉冲以及腔外压缩脉冲的效果。     

Anomalous spectral behaviour of diffracted chirped Gaussian pulses in the near field

By using the Fourier transform method, analytical expressions for the axial power spectrum and near-field intensity in the spacetime domain of chirped Gaussian pulses diffracted at an aperture are derived, which permit us to study changes in spectral and temporal profiles of the chirped Gaussian pulses both analytically and numerically. Detailed numerical results and physical analysis show that spectral anomalies take place in the neighbourhood of certain critical distances, and the shifting of maximum and splitting of temporal intensity profiles appear. In particular, for ultrashort chirped pulses, there exists also spectral switch. Besides the truncation parameter, the chirp parameter and pulse duration affect the behaviour of spectral switches.     

三五阶非线性下啁啾超高斯脉冲的啁啾和频谱

利用三五阶非线性效应下的扩展非线性薛定谔方程,在忽略光纤色散的情况下,计算模拟了以二阶情形为例的啁啾超高斯光脉冲的啁啾和频谱。结果表明,脉冲无预啁啾时,正五阶非线性增大啁啾量,负五阶非线性在减小啁啾量的同时还改变啁啾曲线的形状。当预啁啾与五阶非线性系数同(异)号时,总啁啾增加(减小)。随着超高斯脉冲阶次的增大,总啁啾量增大,脉冲中心附近无啁啾的范围变宽,整个有啁啾的范围变小,总啁啾中预啁啾所占比重增大。脉冲无预啁啾时,正负五阶非线性分别可以增大和减小频谱展宽。预啁啾若增强非线性所致啁啾,则可能使频谱峰值结构加强,谱峰数目增多。当超高斯光脉冲的阶次或最大非线性相移增大时,在某些宽大的频谱峰上还可能出现许多精细谱峰。     

Narrowing behavior of chirped pulses with small Fresnel number in focusing systems

Based on the diffraction integral and Fourier transform, the fields of chirped pulses passing through a thin lens are derived. Influences of Fresnel number and chirp parameter on the transverse intensity distributions of the chirped pulses at focal plane are illustrated with numerical results. Also, effect of pulse duration on the intensities is investigated. It is found that the width of transverse intensity distribution of the chirped pulses decreases with increasing the chirp parameter and the narrowing behavior presents more obvious with smaller Fresnel number. A physical explanation for the narrowing behavior is given on the basis of a simplified form of the field expression.     

高斯脉冲在半导体光放大器中传输的解析表征

采用解析方法,在考虑材料损耗和色散的情况下,详细研究了无啁啾高斯脉冲和啁啾高斯脉冲在半导体光放大器中传输的物理过程,分析了强度增益、脉冲宽度和频率啁啾与线宽增强因子、色散系数、小信号增益特征参数及初始啁啾之间的关系。结果表明:当输入变换极限的高斯脉冲时,色散会引起增益压缩,脉冲展宽和频率啁啾;同样情况下,线宽增强因子越大,脉宽加宽越明显,输出脉冲啁啾越大,且随着线宽增强因子的增大,输出脉冲啁啾极大值向特征参数值较小的一边移动。当输入啁啾高斯脉冲时,初始脉冲啁啾越大,增益压缩越明显,啁啾系数为正时,脉冲单纯展宽,输出啁啾随特征参数的增大而逐渐减小,啁啾系数为负时,初始啁啾与群速度色散导致的啁啾相互竞争,致使脉冲先被压缩后被展宽;脉冲最窄处对应的特征参数随线宽增强因子的增大而先增大后减小,输出啁啾随特征参数的增大而经历振荡后趋于平稳。     

基于金属包覆磁性波导结构的磁光Bragg器件特性分析

使用金属包覆磁性波导中的磁光耦合理论分析了静磁表面波与导波光在金属／电介质／钇铁石榴石／钆镓石榴石结构中的磁光共线作用，讨论了金属覆层和斜向场对磁光模式转换效率的影响。计算表明，金属包覆波导可以提高磁光作用，通过调节金属覆层与磁性薄膜间距得到了比空气／4a铁石榴石／钆镓石榴石的传统三明治波导情形高8．7dB的模式转换效率；而同时优化偏置磁场方向和金属包覆波导参数，模式转换效率可以进一步提高5．25dB。因此，金属包覆波导可以用于提高磁光Bragg器件性能，在微波和光信息处理等方面具有广阔的应用前蒂。     

To measure chirped ultrashort laser pulse by the Talbot effect of a grating

We study the Fresnel diffraction of a phase grating under the illumination of a chirped femtosecond laser pulse. Using spatial spectrum theory, first we extract the central wavelength signal from the diffraction wave of the chirped pulse through a diaphragm. Then the central wavelength waves are directed to interfere in remote regions by two reflectors. The interference stripes at different distance will be exactly the same in interference region. Since the intensity distribution of the stripes is related to the chirp parameter of the femtosecond pulse, through measuring the stripe intensity distribution, we can indirectly detect the chirp parameter of the femtosecond pulse.     

单模光纤中皮秒啁啾脉冲压缩

对单模光纤正群速色散区秒啁啾脉冲的非线性传进行了近似的解析分析和定量的数值计算。结果表明，负啁啾脉冲在传输过程中能得到有效压缩。压缩比与脉冲初始峰值功率和初始啁啾程度有关。初始峰值功率一定的脉冲，其压缩比随初始啁啾程度的增大面大，初始啁啾程度一定的脉冲，压缩比随初始峰值功率的增大而减小，表明自相位调制效应导致脉冲压缩效果变差。计算结果还表明，在脉冲时域宽度得到压缩的同时，光谱宽度也能得到同步压缩。     

Chirp controllable all-optical router in a nonlinear directional coupler

We analyzed the evolution of chirped optical pulses in a nonlinear directional coupler by coupled nonlinear Schrödinger equations. It is shown that an optical pulses launched into one channel can couple out from either of the two channels of the nonlinear directional coupler, with the routing determined by the chirp of the pulse. This is different from the previous routing mechanism of the nonlinear directional coupler where routing is determined by the peak power of the pulse. Based on the chirp-dependent feature, all-optical router and switch could be implemented by the pulse chirp modulation.     

Propagation dynamics of nonlinear chirped optical laser pulses in a two-level medium

We investigate the propagation dynamics of nonlinear chirped optical laser pulses in a two-level medium. For certain chirp strength and chirp width, an incident 2π nonlinear chirped pulse will split into optical precursors and a stable self-induced transparency soliton. This is caused by the particular Fourier spectrum that includes not only central resonant frequency components but also high-frequency and low-frequency sidebands. Moreover, the effects of chirp parameters on the evolution of nonlinear chirped pulses are also discussed.     

啁啾光脉冲在类时间透镜介质中的传播

利用空间－时间类似和光线光学方法得到啁啾高斯光脉冲在类时间透镜介质中传播的解析解，讨论了光脉冲宽度和啁啾参数随传播距离的演变，并与光脉冲在克尔介质中传播的特征作了比较。