偏振无关的双折射多波长滤波器的Z域设计

基于双折射铌酸锂晶体的电光效应,设计了一种偏振无关的二端口波导型多波长可调谐滤波器.在非对称干涉仪的上下分支波导上,耦合电极与相移电极周期性交叉级联实现模式的偏振转换.利用琼斯矩阵的Z域分析,求解驱动电压模拟实现多个波长的同时选择.仿真实现了自由光谱范围内分布任意的窄带多波长输出.波长中心处传输率为100%;旁瓣大小受到所选波长个数的影响,三个波长同时滤波的旁瓣可达12 dB.同时得到了梳状滤波输出谱,其通带顶部平坦,旁瓣可达15 dB以上.     

傅里叶光谱仪高精度光谱定标研究

为了提高傅里叶光谱仪光谱定标精度,减小光谱定标误差,基于风云四号大气垂直探测仪实验室气体池光谱定标数据,进行傅里叶光谱仪高精度光谱定标算法研究。首先,分析了傅里叶光谱仪的分光原理,并在对参考激光波数漂移、光线离轴、以及有限视场引起光谱波数偏移的原理进行分析后,得出傅里叶光谱仪光谱定标公式及定标参数的计算方法;接着分析了快速傅里叶变换(FFT)的栅栏效应和干涉图截断产生的sinc函数造成的光谱定标误差较大的原因;然后通过对比几种不同的光谱细化方法,选择高效的快速Chirp Z-transform(CZT)进行光谱细化,解决FFT光谱分辨率较低导致光谱误差较大的问题;通过对气体池参考气体在HITRAN数据库中的理论谱线,用Gaussian线型展宽并卷积sinc函数处理后作为光谱定标参考谱线的方式,减小由sinc函数引起的谱线间串扰造成的光谱定标误差,从而提高光谱定标精度。最后,使用实验测得的数据对该光谱定标算法进行验证,对比使用CZT细化光谱前后定标误差,和参考谱线处理前后的定标误差,证明该算法可以有效提高光谱定标精度,最高可将光谱定标误差减小10倍以上。     

Calculating the normalization constants in queueing networks

Many queueing network models have a product-form solution for their steady-state probability distributions. However, the calculation of the normalization constants involved in the solutions is nontrivial. Recently, Gordon proposed a method to derive the closed form formula for normalization constants for certain closed networks. In this paper, we describe a simpler method using Z-transform. In the cases of networks of multiple server queues or of single server queues with equal traffic intensities, the computation involved in proposed approach is much simpler than that in Gordon's paper. For multichain closed networks, we propose to use FFT (Fast-Fourier-Transform) to calculate the normalization constants.     

Uniform asymptoic stability in linear volterra difference equations

For linear Volterra difference equations of nonconvolution type, uniform asymptotic stability of the zero solution is characterized by the summability of the resolvent matrix. Moreover, the existence of bounded solutions of nonhomogeneous linear Volterra difference equations is studied.     

一种改良的啁啾变换算法及其应用

快速啁啾算法引入两次快速傅里叶变换（FFT）及一个解析高斯核,计算复杂度低于卷积算法.通过对啁啾算法实现过程进行的改进,避免了该算法在实现过程中存在的一些问题,比如输出窗口小、信号丢失、计算复杂度稍大等缺点. 把算法用于简单的可求得解析解的系统并与之做比较. 对高斯函数,最大误差通常在10^-15数量级,而对矩形函数,由于受FFT算法计算精度的影响,误差在10^-3数量级,但这并不影响算法的性能. 最后把算法用于一种典型的标量衍射系统及分数傅里叶变换的计算,获得了很好的结果. 关键词： 快速啁啾算法 啁啾Z变换 菲涅耳变换 分数傅里叶变换     

Digital synthesis of programmable photonic integrated circuits

Programmable photonic waveguide meshes can be programmed into many different circuit topologies and thereby provide a variety of functions.Due to the complexity of the signal routing in a general mesh,a particular synthesis algorithm often only accounts for a specific function with a specific cell configuration.In this paper,we try to synthesize the programmable waveguide mesh to support multiple configurations with a more general digital signal processing platform.To show the feasibility of this technique,photonic waveguide meshes in different configurations(square,triangular and hexagonal meshes)are designed to realize optical signal interleaving with arbitrary duty cycles.The digital signal processing(DSP)approach offers an effective pathway for the establishment of a general design platform for the software-defined programmable photonic integrated circuits.The use of well-developed DSP techniques and algorithms establishes a link between optical and electrical signals and makes it convenient to realize the computer-aided design of optics–electronics hybrid systems.     

基于Z变换的高阶完全匹配层实现

基于拉伸坐标完全匹配层(SC-PML)公式和Z变换方法,提出以非分裂场形式来实现具有多极点的高阶完全匹配层的高效算法,来截断时域有限差分(FDTD)网格.在吸收性能方面,高阶PML同时具有传统PML和复频率偏移完全匹配层(CFS-PML)二者的优点.提供的数值算例是二维TE极化电磁波与无限长且有限宽度的理想电导体(PEC)薄片的相互作用.仿真结果显示,高阶PML公式在衰减低频行波和隐失波及减少后期反射方面效果好,比传统SC-PML和复频率偏移的卷积完全匹配层(CPML)算法有更好的吸收性能.     

任意磁化方向铁氧体电磁散射时域有限差分分析的Z变换方法

利用坐标系转换矩阵给出实验室系中饱和磁化铁氧体的频域磁化率张量, 采用部分分式展开方法通过Z变换得到磁化率张量的Z域形式, 给出了任意磁化方向铁氧体电磁散射的Z变换-时域有限差分算法. 计算了饱和磁化铁氧体球的同极化和交叉极化后向雷达散射截面, 结果表明了算法的正确有效性. 关键词： Z变换 饱和磁化铁氧体 电磁散射 时域有限差分方法     

电光可调谐有限脉冲响应滤波器设计

为得到高矩形度、低旁瓣、电光调谐逆向可导及通带带宽可调的电光可调谐滤波器,在x切y传的钛扩散铌酸锂(Ti∶LiNbO3)波导上,对周期性分布的N级叉指电极组提供分立电压V,产生周期性电场,实现似TE模与似TM模的偏振转换,进而实现滤波功能。该结构构成有限脉冲响应(FIR)网络,网络传输矩阵H(z)与电压V具有一一对应关系。利用z变换原理,运用待定系数法求解H(z),从而推导所需电压值V,实现了电光调谐逆向可导。加入不同电压,可以实现自由光谱范围(FSR)内不同通带宽度的可调谐滤波特性。通过仿真验证,该算法是可行的。当N为17时,边模抑制比(SMSR)可达到25dB。并且滤波曲线的矩形度随着叉指电极组级联级数N的增大而增大。     

Description and reconstruction of one-dimensional photonic crystal by digital signal processing theory

A method of describing one-dimensional photonic crystals(1DPCs) based on Z-domain digital signal processing theory is presented. The analytical expression of the target band gap spectrum in the digital domain is obtained by the autocorrelation of its impulse response. The feasibility of this method is verified by reconstructing two simple 1DPC structures with a target photonic band gap obtained by the traditional transfer matrix method. This method provides an effective approach to function-guided designs of interference-based band gap structures for photonic applications.