介质不均匀性对激光模式相位与光强分布的影响

将不均匀介质势函数进行泰勒展开,取其前3项近似,与描述光腔模式的亥姆霍兹方程中的特殊函数结合,根据光腔边界条件推导出光腔模式的本征解、激光输出功率以及不均匀介质与激光模式的相位与强度分布关系表达式。将表达式应用于氧碘化学激光器的功率与输出耦合率的非线性拟合以及近场光强分布的分析,预测趋势与文献结果相符。     

封闭腔体噪声控制中亥姆霍兹共振器的优化设计方法

提出用亥姆霍兹共振器控制声腔内噪声时计算共振器最优阻尼比和最优工作带宽的理论公式,并进行实验验证。首先,建立共振器与待控腔体的声学耦合方程,以最小化腔体内目标声压幅值为参考,对共振器的阻尼比和工作带宽进行理论分析,求出最优阻尼比和最优工作带宽的计算公式。接着,提出在声腔噪声控制中使用最优亥姆霍兹共振器的实施步骤。最后,以一维声学腔体内的噪声为控制对象,通过对比控制前后的理论结果与实测数据,验证最优阻尼比和最优工作带宽的理论公式。结果表明,本文开发的亥姆霍兹共振器优化设计方法能准确地预报共振器的最优阻尼比与最优工作带宽,在声腔中低频噪声控制中有广泛的应用前景。      

非稳腔模式计算中Colins公式适用性的分析

Ｃｏｌｉｎｓ公式将几何光学和波动光学联系在一起，能以简单的形式描述相干光在复杂光学系统中的传输，但忽略了光学系统中一些光学元件的衍射损耗。当Ｃｏｌｉｎｓ公式用于激光谐振腔的本征模式计算时，其适用程度与被忽略腔镜的有效菲涅尔数有关。本文用数值方法求解了两组谐振腔本征积分方程，一组应用Ｃｏｌｉｎｓ公司推导，另一组用菲涅尔－惠更斯衍射积分推导，结果表明：对稳定腔Ｃｏｌｉｎｓ公式基本适用；对非稳腔，当被忽略腔镜的有效菲涅尔数＞１时，原则上可以用，当被忽略腔镜的有效菲涅尔数＜１时不适用；对有源非稳腔基本适用。     

端面抽运四镜折叠腔Nd∶YVO4激光器的研究

基于传输矩阵理论,针对端面抽运的z型折叠腔Nd∶YVO4固体激光器的谐振腔设计进行了数值模拟,详细分析了腔内各参量对谐振腔稳定性的影响.由模拟结果推断,z型腔激光器具有两个稳区,并且稳区的范围可通过谐振腔各分臂的臂长来调节.利用相同的光学元件在不同的稳区范围设计了两种热稳腔,指出了长短腔型各自的利弊.实验考察了输出功率随腔长改变的变化情况,在不同腔长下的不同稳区分别获得了稳定的1 342 nm激光输出,谐振腔稳区范围的变化规律与理论计算基本符合.     

基于电磁感应法测量亥姆霍兹线圈磁场的改进

本文在电磁感应法的基础上,通过与亥姆霍兹线圈串联使电容达到谐振的改进方法,测量了不同电容参数下的亥姆霍兹线圈磁场分布,并利用Origin软件拟合分析了亥姆霍兹线圈磁场与中心轴线位置的关系.实验结果表明,基于电磁感应的改进方法测得的亥姆霍兹线圈磁场精确度在一定程度上均大于传统电磁感应法的测量结果,3种电容选择中,串联电容为0.099×10^-6F时,精确度最高,拟合的亥姆霍兹线圈磁场与中心轴线位置的关系式与理论状态下的公式基本吻合.改进方法的实验效果明显,精确度高,科学可行,是一种值得推广的测量亥姆霍兹线圈磁场的改进方法.     

高功率TEA CO_2激光器非稳腔实验研究

为了提高光束质量、压缩光束发散角,利用现有高功率稳定腔TEA CO2激光器进行了非稳谐振腔的技术改造及激光输出试验,非稳谐振腔采用正分支虚共焦型非稳腔方案。为充分研究谐振腔结构参数及激光振荡模体积对输出能量和光束发散角的影响,共设计加工了包含4种放大率、5种模体积的20组非稳腔腔镜组合。在其它参数都相同的试验条件下,进行了非稳腔镜的单脉冲输出对比试验,得到的最大输出能量为14 J,是原平凹稳定腔的70%,而光束发散角只是原平凹稳定腔的1/4。     

腔壁弹性对充水亥姆霍兹共振器声学特性的影响:圆柱形腔等效集中参数模型

研究了充水亥姆霍兹共振器的弹性壁对其声学特性的影响。建立了考虑壁面弹性的圆柱形共振器的等效集中参数理论模型,并在静水管路上进行了实验验证。从共振器的共振频率、激励声压与腔内声压的传递函数以及共振器的传递损失等方面阐述了弹性壁的影响,并对刚性壁假设和弹性壁结果进行了比较。理论和实验都证明了腔壁弹性对亥姆霍兹共振器的声学特性有很大的影响。     

基于等几何分析方法求解任意截面波导本征问题

基于等几何分析方法具有自由度花费少、高精度、高阶连续性等特点,通过加权余量法对椭圆波导本征问题的亥姆霍兹方程等几何离散得出等几何分析方程.解决了传统数值方法的求解域与几何模型的非一致性问题,实现了将问题的分析计算构架于精确几何模型基础之上.分析任意截面波导的本征问题,对不同偏心率的椭圆波导以及三角形和五边形波导的截止波数的求解结果显示等几何分析方法求解波导本征问题的高效及高精度特性.与传统方法相比,此方法以较少的自由度消耗便会达到较高的求解精度,并且数值解的收敛率较快.     

基于可调频亥姆霍兹共振器的封闭空间噪声自适应半主动控制

针对实际中声场激励频率可能发生变化的情况,研究采用自适应频率可调的亥姆霍兹共振器吸声器来跟踪激扰频率从而控制封闭空间噪声。建立了封闭声腔与亥姆霍兹共振器耦合的频域模型与时域控制模型,并给出了三种频率调谐控制算法,即亥姆霍兹共振器开口处声压幅值最小和内部声压幅值最大,以及判断内部声压幅值和开口处声压幅值的点积值趋零(点积值法)。理论分析和数值计算结果表明点积值法调频效果明显优于其它两种算法。采用并设计一种颈部面积可调的可调频亥姆霍兹共振器,利用点积值调频算法进行了单频和带宽信号激励下封闭空间噪声控制仿真和单频激励下实验研究,结果表明:点积值调频算法具有较好的频率调节性能和调节精度,并取得了理想的噪声控制效果,验证了理论模型正确性及调频算法的有效性。      

非热稳定非稳腔固体激光理论分析与实验研究

建立了包括非热稳定热力学模型、光学传输模型、能量转换模型及非稳腔模型的综合理论分析平台。理论分析得到以下主要结论:谐振腔长度变化对光束质量及光光效率的影响不大,对于给定的增益,激光最佳效率和光束质量分别对应不同的非稳腔放大率。提出非稳腔腔内相位板补偿介质静态畸变提高光束质量的技术措施,并开展实验验证,光束质量由补偿前的5.48倍衍射极限提升到补偿后的2.46倍,输出功率为12.1kW。     

二维正方排列圆柱状亥姆赫兹共振腔阵列局域共振声带隙的研究

通过对二维正方排列圆柱状亥姆赫兹共振腔阵列声性质的研究,指出局域共振型声子晶体中存在两类耦合作用, 即共振单元与基体的弱耦合作用及共振单元间的耦合作用.其中前一种耦合作用可以通过改变共振单元的品质因子而改变, 逐渐减小这种耦合作用可以实现从局域共振到布拉格共振的连续转变;后一种耦合是通过共振单元周围的近场耦合实现的, 通过减小共振单元的间距可以增大其耦合强度,因而增大带隙宽度,但带隙中波的衰减深度却是随这种耦合强度的增大而减小的.     

The design of Helmholtz resonator based acoustic lenses by using the symmetric Multi-Level Wave Based Method and genetic algorithms

Sonic crystals can be used as acoustic lenses in certain frequencies and the design of such systems by creating vacancies and using genetic algorithms has been proven to be an effective method. So far, rigid cylinders have been used to create such acoustic lens designs. On the other hand, it has been proven that Helmholtz resonators can be used to construct acoustic lenses with higher refraction index as compared to rigid cylinders, especially in low frequencies by utilizing their local resonances. In this paper, these two concepts are combined to design acoustic lenses that are based on Helmholtz resonators. The Multi-Level Wave Based Method is used as the prediction method. The benefits of the method in the context of design procedure are demonstrated. In addition, symmetric boundary conditions are derived for more efficient calculations. The acoustic lens designs that use Helmholtz resonators are compared with the acoustic lens designs that use rigid cylinders. It is shown that using Helmholtz resonator based sonic crystals leads to better acoustic lens designs, especially at the low frequencies where the local resonances are pronounced.     

光波导微环谐振器用于二进制格式变换研究

实验观测到了微环对入射二进制码的格式转换作用, 且这种转换作用对入射光波长具有强烈的依赖关系. 使用线性耦合模理论, 结合傅里叶变换以及电光马赫曾德强度调制作用, 理论再现了这一实验结果, 并通过使用简化的传递函数对此进行了解释. 理论分析还表明, 对于非临界耦合微环, 通过格式转换后波形的非对称性可以直观地判断微环的耦合状态, 即过耦合或欠耦合有不同的输出波形特点. 关键词： 微环谐振器 数据格式转换 耦合模方程 传递函数     

腔壁弹性对水下小型圆柱形亥姆霍兹共振器共振频率的影响

理论和实验研究了腔壁弹性对水下小型圆柱形亥姆霍兹共振器共振频率的影响.基于电-声类比理论,建立了小型共振器的简化模型,利用电路分析方法得到了便于计算的共振频率一般表达式.分别仿真分析了共振器壁面厚度和材料对共振频率的影响,得到了不同尺寸的小型共振器的近似刚性条件.在充水驻波罐中对不同壁厚、不同材料的小型圆柱形亥姆霍兹共振器的共振频率进行了测量,实验结果较好地验证了理论分析和近似刚性条件的正确性.所得结果对小型圆柱形亥姆霍兹共振器的设计和水下应用具有较好的参考价值. 关键词： 亥姆霍兹共振器 共振频率 传递函数 辐射阻抗     

Loss-improved electroacoustical modeling of small Helmholtz resonators

Modeling of small Helmholtz resonators based on electroacoustical analogies often results in significant disagreement with measurements, as existing models do not take into account some losses that are observed in practical implementations of such acoustical circuits, e.g., in photoacoustic Helmholtz cells. The paper presents a method which introduces loss corrections to the transmission line model, resulting in substantial improvement of simulations. Values of the loss corrections obtained from comparison of frequency responses of practically implemented resonators with computer simulations are presented in tabular and graphical form. A simple analytical function that can be used for interpolation or extrapolation of the loss corrections for other dimensions of the Helmholtz resonators is also given. Verification of such a modeling method against an open two-cavity Helmholtz structure shows very good agreement between measurements and simulations.     

弯曲圆盘驱动的双Helmholtz共振腔换能器

使用双面同相振动的弯曲圆盘换能器驱动双Helmholtz共振腔,既放大了弯曲圆盘换能器弯曲共振频率以下频段的声输出,又利用两个Helmholtz共振腔的同相声源辐射模型实现了在Helmholtz共振频率处的"∞"字形垂直指向性,实现了低频指向性声发射。阐述了换能器实现"∞"字形低频指向性发射的机理,研究了腔体长度、金属圆片厚度及弯曲圆盘边缘简支厚度等关键结构参数对Helmholtz共振频率的影响,求解了换能器的发送电压响应、指向性等参数。依据仿真结果制作了实验样机,在消声水池中进行了电声性能测试。测试结果显示,指向性形状及液腔共振频率与仿真结果基本相符。这种由弯曲圆盘驱动的双Helmholtz共振腔水声换能器为实现水声换能器小尺寸、低频指向性发射提供了一种技术手段。      

Sound absorption of microperforated panel mounted with helmholtz resonators

Microperforated panel (MPP) absorbers have been widely used in noise reduction and are regarded as a promising alternative to the traditional porous materials. However, the absorption bandwidth of a single-layer MPP is insufficient to compete with the porous materials. In order to improve the sound absorption ability of the single-layer MPP, MPP mounted with Helmholtz resonators (MPPHR) is introduced. Based on the MPP, Helmholtz resonators theory and electro-acoustical equivalent circuit principle, sound absorption properties of MPPHR are studied. Simulation and experimental results show that MPPHR have two peak frequencies and one anti-resonant frequency. The low-frequency peak is dependent on the Helmholtz resonators, while the high frequency peak is close to the peak of the single-layer MPP. The low-frequency sound absorption peaks move to low frequency with the neck length and the volume of Helmholtz resonators increasing. The high-frequency sound absorption peaks move to high frequency with the volume of Helmholtz resonators cavity increasing. Multiple Helmholtz resonator parallel MPP structure can provide more sound absorption than single MPPHR at low frequency range due to the introduction of more additional sound absorption peaks.     

Unstable resonator and output-coupling design study for diffraction radiation generator near-mm sources

Configurations of unstable resonators that could be used for diffraction radiation generators (DRG's) are presented. The output coupling of a negative branch unstable resonator exhibits an extreme sensitivity to mirror radius and appears to be unsuited to DRG use. The positive branch resonator does not exhibit this sensitivity to mirror radius, and the mirror radii that are needed to give output couplings of a few percent appear practical.Work conducted at the Harry Diamond Laboratories.     

Computation of discrete transparent boundary conditions for the 2D Helmholtz equation

We present a family of non-local transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variational problem in a standard manner, representing a boundary value problem, whereas the exterior problem is posed as an initial value problem in the radial variable. This problem is then solved approximately by means of the Laplace transformation. The derived boundary conditions are asymptotically correct, model inhomogeneous exterior domains and are simple to implement.