亥姆霍兹对电动力学发展的重要影响

文章结合19世纪70年代电动力学发展的特殊历史背景,从理论和实验两个角度讨论了亥姆兹在电动力学方面的重要工作,指出他要促使我们接受麦克斯韦理论以及引导赫兹成功地发现电磁波方面都发挥了重要作用,对赫兹和洛伦兹的电动力学理论研究产生了重要而又深远的影响,从而极大促进了经典电动力学的发展。     

亥姆霍兹线圈磁场分布及其测量

采用美国PASCO公司生产的＂科学工作室＂物理实验系统重新设计了亥姆雷兹线圈磁场实验,以定量分析的实验形式,弥补了传统方法测量亥姆霍兹线圈磁场的不足,同时也体现了PASCO科学工作室在实验数据采集方面具有传统方法不可比拟的优点。     

用亥姆霍兹定理讨论电位移

从亥姆霍兹定理出发,阐明了电位移与场源之间的内在联系,指出电位移不仅与自由电荷分布有关,而且还与电介质、极化电荷及边界条件有关;着重分析了电位移仅与自由电荷分布有关的条件。     

亥姆霍兹线圈磁场的均匀性分析

引入磁场均匀度的概念，对亥姆霍兹线圈磁场的均匀性进行了定量分析，并通过计算机模拟，得出了同一精度下，形成亥姆霍兹线圈均匀磁场的最佳条件．     

亥姆霍兹旋转木马演示仪的实验设计

介绍了亥姆霍兹旋转木马在制作过程中的技术路线以及设计技巧.该装置利用亥姆霍兹共鸣器原理,把共鸣球颈口声压巧妙地转化为旋转的动力,可以通过演示旋转快慢来研究共鸣器共振强度与外界声源频率、强度以及自身物理参数的关系,经过演示实验证明教学效果良好.     

对亥姆霍兹线圈磁场分布的分析

利用DH4501D实验仪探究了亥姆霍兹线圈轴线上和轴线外的磁场分布问题.首先通过对单个线圈不同电流下的磁场分布的实验值与理论值对比发现电流大的磁场更接近理论值,更适合用来研究磁场分布问题.然后利用较大电流分别研究了单个线圈以及亥姆霍兹线圈轴线上和轴线外的磁场分布的规律及产生原因.最后利用磁场分布拟合了真空磁导率并与理论...     

利用亥姆霍兹线圈测量真空磁导率

采用FD-HM-Ⅰ型亥姆霍兹线圈,利用高灵敏度毫特斯拉计,探测亥姆霍兹线圈公共轴线中点的磁感应强度.通过改变亥姆霍兹线圈中电流的正、反方向,消除了地磁场影响,从而精确测定了真空磁导率.     

亥姆霍兹线圈磁场的探究

定量计算了亥姆霍兹线圈空间磁场的分布,并用Mathmatic进行空间模拟,形象地描述了亥姆霍兹线圈的空间磁场分布,同时就其均匀性与三线圈和载荷旋转圆盘的磁场进行了对比讨论.     

自制亥姆霍兹线圈的设计与应用研究

电磁学是高中物理教学的重点和难点,有效地开展实验教学是解决难点的重要手段. 电磁学演示实验 中经常需要磁场,而常规的实验器材因为提供的磁场范围小、不均匀,影响了演示效果. 自制可旋转亥姆霍兹线圈, 结合教学进行应用研究,是提高这类实验演示效果的一个途径     

水下圆柱形Helmholtz共振器的声学特性分析

理论分析了水下圆柱形Helmholtz共振器的声学特性. 综合考虑壁面弹性和辐射阻抗的影响,基于电-声类比的基本原理,建立了较为完善的水下圆柱形Helmholtz共振器的低频集中参量模型. 利用电路分析的基本方法,得到了系统的输入阻抗和声压传递函数表达式. 仿真分析了主要结构参数对共振器声学特性的影响,得出了一些有意义的结论. 在充水驻波罐中对自制的Helmholtz共振器进行了测量,并对实验结果进行了详细地误差分析. 去除压电水听器对测量结果的影响后,实验与仿真结果基本一致,从而验证了理论分析的正确性. 关键词： Helmholtz共振器 共振频率 传递函数 辐射阻抗     

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     

澄清维恩位移定律易混淆的两种形式

对维恩位移定律的两种形式λmaxT=2 899×10-3m·K和Tωmax=2 708×10-12K·Hz-1进行了详细推导和作图,指出λmax≠2πcωmax,因此某些文献用λmax=2πcωmax来联系两种形式是错误的.     

On the adjustment of Helmholtz resonators

A Helmholtz resonator is placed in a room with distinct acoustic modes, and is tuned to one of the corresponding resonant frequencies. The optimal resonator damping ratio is investigated, as a goal-dependent value. For example, minimizing reverberation time requires a different damping ratio from minimizing the sound pressure level. The optimum damping values for a Helmholtz resonator are analytically computed, and then verified by means of experimentation. Furthermore, a construction is introduced which allows for a fine adjustable setting for the eigenfrequency and the damping ratio of the resonator.     

A fast method for the solution of the Helmholtz equation

In this paper, we consider the numerical solution of the Helmholtz equation, arising from the study of the wave equation in the frequency domain. The approach proposed here differs from those recently considered in the literature, in that it is based on a decomposition that is exact when considered analytically, so the only degradation in computational performance is due to discretization and roundoff errors. In particular, we make use of a multiplicative decomposition of the solution of the Helmholtz equation into an analytical plane wave and a multiplier, which is the solution of a complex-valued advection–diffusion–reaction equation. The use of fast multigrid methods for the solution of this equation is investigated. Numerical results show that this is an efficient solution algorithm for a reasonable range of frequencies.     

Development of in-lab energy-filtered X-ray photoemission electron microscope using air-core-coil-type multipole Wien filter

We have developed an in-lab energy-filtered X-ray photoemission electron microscopy (EXPEEM) combining a high-brilliance X-ray source and a new Wien filter-type energy analyzer, which can accept photoelectrons in a wide angle. To obtain high energy resolution, we enlarged the inner diameter of the filter and reduced aberrations of an analyzer using multipole electrodes and air-core coils. We obtained an energy-filtered image of photoelectrons.     

An extended neck versus a spiral neck of the Helmholtz resonator

This paper focuses on improving the noise attenuation performance of the Helmholtz resonator (HR) at low frequencies with a limited space. An extended neck or a spiral neck takes the place of the traditional straight neck of the HR. The acoustic performance of the HR with these two types of necks is analyzed theoretically and numerically. The length correction factor is introduced through a modified one-dimensional approach to account for the non-planar effects that result from the neck being extended into the cavity. The spiral neck is transformed to an equivalent straight neck, and the acoustic performance is then derived by a one-dimensional approach. The theoretical prediction results fit well with the Finite Element Method (FEM) simulation results. Without changing the cavity volume of the HR, the resonance frequency shows a significant drop when the extended neck length or the spiral neck length is increased. The acoustic characteristics of HRs with these two different neck types have a potential application in noise control, especially at low frequencies within a constrained space.     

改进型Helmholtz线圈及其磁场均匀性的分析

提出将Helmholtz线圈改为3个同半径的串联线圈,以得到改进型的Helmholtz线圈,经计算得到了改进型Helmholtz线圈磁场的简单公式,对公式的分析表明：改进型Helmholtz线圈的均匀磁场区比一般Helmholtz线圈大得多。