Sound absorption by a Helmholtz resonator

Absorption characteristics of a Helmholtz resonator positioned at the end wall of a circular duct are considered. The absorption coefficient of the resonator is experimentally investigated as a function of the diameter and length of the resonator neck and the depth of the resonator cavity. Based on experimental data, the linear analytic model of a Helmholtz resonator is verified, and the results of verification are used to determine the dissipative attached length of the resonator neck so as to provide the agreement between experimental and calculated data. Dependences of sound absorption by a Helmholtz resonator on its geometric parameters are obtained.     

Sound reflection by a resonator array in a multimode cylindrical waveguide

The paper considers the problem of scattering of the mth symmetric mode by an array of Q rings of identical, closely located Helmholtz resonators joined by necks to the walls of a wide circular pipe. The distance between rings is equal to half the wavelength of this mode at frequency ??, equal or close to the eigen-frequency of the resonator ring with allowance for the connected mass and interaction of neighboring rings via inhomogeneous modes. The coefficient of reflection of the mth mode from this grating array is calculated.     

Sound absorption by a planar array of monopole-dipole scatterers

The scattering of a plain sound wave by an array of small monopole-dipole scatterers (Helmholtz resonators vibrating on small bars) is considered. It is shown that, at a certain friction in the resonators, an array whose spatial periods do not exceed the half-wavelength of sound serves as an efficient absorber for resonance-frequency sound.     

Sound wave scattering by a spherical scatterer located near an ice surface

An echo signal is simulated, which is reflected from a spherical scatterer located near an ice surface. The homogeneous water medium in which the scatterer is located is assumed semi-infinite. For the scattering coefficients of the sphere, asymptotic formulas are obtained by the saddle point method, which can be used for sufficiently large distances between the source emitting a spherical wave and the scatterer. For the occurring branch cut integrals using the steepest descent method, asymptotic expressions are also obtained. Numerical results are obtained for an acoustically rigid sphere and an ice sphere. The density of the ice medium and speed of longitudinal waves in it coincide with the analogous parameters of the ice cover. In a wide frequency range of 8–12 kHz, echo signals are compared that have been calculated for two models of media: a water half-space bordering an ice half-space and an ice-covered homogeneous waveguide with a fluid bottom under the assumption that the source placed in the water layer is directional. It is shown that in a large distance interval between the source and the spherical scatterer, the half-space model sufficiently accurately describes the echo signal while substantially reducing calculation time (by approximately a factor of 10 for the waveguide with a depth of 200 m and a sandy bottom considered in the paper).     

Sound scattering by bubble clouds near the sea surface

The classical exact formulation required to evaluate the form function (or the scattering cross-section, SCS) of a single, ideal, air bubble in a boundless liquid is briefly recalled. It is then immediately generalized to the case of a round cloud of many possibly interacting such bubbles of known volume concentration, contained within the same boundless medium. This is further generalized to the case when the bubble cloud is near a free surface. The presence of the nearby pressure release surface, assumed flat, substantially alters the cloud's scattering cross-section relative to its value in the absence of boundaries. We then use an earlier technique of ours [i.e., see I.E.E.E. J. Ocean. Eng. 20, 285-293 (1995)] based on the method of images that uses the addition theorem for the spherical wave functions, to relate all the scattered sound fields to a common origin and thus obtain the (modified) SCS of the cloud now near the boundary. This formulation accounts for all orders of multiple scattering and yields an infinite set of coupled algebraic equations for the coupling coefficients. This set is then solved for the coupling coefficients in terms of infinite sums of products of pairs of Wigner 3-j symbols, which are then used to construct and evaluate the form function. We display numerical results in four cases that correspond to geographical sites in which the bubble concentrations within the cloud have been measured along a couple of oblique upward directions, or have been assumed to have increasing (and in a few instances, purposely unrealistically high) values. In all cases considered here the bubble clouds are only a few meters beneath the sea surface and consist of ideal bubbles. The results are also compared to those found in the absence of a boundary in all the cases considered.     

Sound propagation along an impedance plane

The sound field due to a point source above a plane boundary with a constant normal impedance is obtained by a double saddle point method of integration. Variations in previous studies by Ingard, by Lawhead and Rudnick and by Wenzel are clarified.     

Sound propagation above an inhomogeneous impedance plane

Boundary integral equation (BIE) methods are described for the prediction of sound propagation, in particular from a line source, over a flat plane of inhomogeneous impedance. Approximate methods, which satisfy reciprocity, for the calculation of the wave field over a two-impedance plane are proposed. These approximations, applied to propagation from a line source, give results agreeing well with those of the BIE method. When they are applied to propagation from a point source, agreement with experiment is shown.     

Broadband light absorption using a multilayered gap surface plasmon resonator

A broadband visible light absorber composed of multiple metal-dielectric-metal (MMDM) layers is proposed and numerically investigated. Dielectric layers of different thicknesses in the MMDM structure lead to multiple plasmon resonances at different wavelengths; as a result, efficient broadband absorption can be achieved under optimized conditions. We found that an average simulated absorption of 93 % was obtained over the entire visible spectrum of 400–700 nm by controlling the geometric parameters. Furthermore, the origin of the broadband absorption was studied, and the effects of the diameter and pitch of the pattern on the absorption were investigated. Our proposed structure with a periodic array of circular patterns represents a novel candidate for future applications in photovoltaic cells and thermal emitters.     

Diffraction of sound by an elastic or impedance sphere located near an impedance or elastic boundary of a halfspace

An exact solution is obtained to the problem of sound diffraction by an elastic or impedance sphere located near an impedance or elastic boundary of a halfspace. The problem is solved using the Helmholtz integral equation in which the field of a point source in the halfspace with an elastic boundary is used as the Green function. The diffracted field is represented as a series expansion in spherical harmonics. The expansion coefficients are determined from a set of independent algebraic systems of equations. The matrix coefficients of these systems are determined as integrals of the products of the associated Legendre polynomials on the complex plane with respect to the real and complex angles of the sound incidence on the halfspace boundary. To decrease the number of such integrals, expansions using the Klebsh-Gordon coefficients are applied. As a result, algorithms for calculating the scattered field in the halfspace are obtained.     

A theoretical model to predict the low-frequency sound absorption of a helmholtz resonator array

A theoretical method based on mutual radiation impedance is proposed to compute the sound absorption performance of a Helmholtz resonator array in the low-frequency range. Any configuration of resonator arrangement can be allowed in the method, while all the resonators may or may not be identical. Comparisons of the theoretical predictions with those done by the past studies or experiments show that the present method can accurately predict the absorption performance in more general cases.     

利用特征向量法分析有源失调腔的2维模场

 利用一种用于光腔模式及光束传输模拟计算的特征向量法计算有源腔的2维失调,通过对谐振腔几何关系的求解,以及对增益进行薄层模型处理,最后利用特征向量法计算有源腔失调后的模式分布,发现失调造成了模式强度分布不均匀,并带来模式阶数的改变。计算了相应的光束质量因子,结果表明:在一定失调范围内,失调可能会带入新的模式竞争;谐振腔在一定范围的失调情况下,各阶模式的光束质量可能变好,也有可能变差,随着模式阶数的增加光束质量整体趋势是越来越差;原来简并的模式可能不再简并。该方法可以为计算失调后谐振腔的模场带来方便。     

利用特征向量法分析有源失调腔的2维模场

利用一种用于光腔模式及光束传输模拟计算的特征向量法计算有源腔的2维失调,通过对谐振腔几何关系的求解,以及对增益进行薄层模型处理,最后利用特征向量法计算有源腔失调后的模式分布,发现失调造成了模式强度分布不均匀,并带来模式阶数的改变。计算了相应的光束质量因子,结果表明:在一定失调范围内,失调可能会带入新的模式竞争;谐振腔在一定范围的失调情况下,各阶模式的光束质量可能变好,也有可能变差,随着模式阶数的增加光束质量整体趋势是越来越差;原来简并的模式可能不再简并。该方法可以为计算失调后谐振腔的模场带来方便。     

Using a thin actuator as secondary source for hybrid passive/active absorption in an impedance tube

This paper describes the practical implementation of a piezoelectric actuator as secondary source for hybrid passive/active broadband sound absorption in a standing-wave tube. This actuator consists of a thin circular aluminium plate driven by a piezoelectric patch and glued to a flexible rubber support. The resulting device has been mounted in a thin metallic ring that fits perfectly to the tube diameter. Passive absorption is afforded by either a porous layer or a microperforated panel, backed by an air gap. Active absorption is accomplished by releasing the sound pressure at a microphone behind the material, using either a loudspeaker or the actuator as secondary source. Results of broadband sound absorption reveal the feasibility of the piezoactuator. Compared to the loudspeaker, this actuator allows to greatly reduce the whole thickness of the hybrid absorber.     

Real-time surface shape measurement by an active interferometer

We have succeeded in video rate analysis of fringes stabilized by an active interferometer placed outside optical benches. The interferometer uses the closed loop control of injection current of a laser diode to compensate for fringe movement that is detected by a spatial filtering detector. A video image of the locked fringes with tilt is supplied to the real-time fringe analyzer that delivers unwrapped phase distribution from the three phase shifted fringes generated by the electronic moiré method. For a concave mirror of 130 mm diameter placed on a wooden desk we observed the repeatability of λ/60 for P-V surface error of λ/5.     

Analytical model of a self-complementary connected antenna array on high impedance surface

This paper presents an analytical model to design a self-complementary connected antenna array above artificial materials like high impedance surfaces (HIS). The objective of this model is to perform parametric studies to facilitate deeper understanding of a complex antenna array with a significantly shorter computation time than with electromagnetic simulators. The model of the complete structure has been designed in receiving mode when structure is illuminated with a plane wave and using transmission line model and ABCD matrix. By applying an interesting property which gives equivalence between the input impedance in transmit mode and the surface impedance in receiving mode, the impedance match of the self-complementary connected antenna array can be quickly calculated. It is also simple to evaluate the influence of the incidence angle on the reflection coefficient of a self-complementary connected antenna array above perfect electric conductor (PEC) or HIS. PEC or artificial materials can modify the antenna array behavior by either increasing the bandwidth or by adding additional bandwidths. All these results have been verified to be accurate by numerical simulations done with Ansys HFSS.     

Reflection of an acoustic line source by an impedance surface with uniform flow

An exact analytic solution is derived for the 2D acoustic pressure field generated by a time-harmonic line mass source located above an impedance surface with uniform grazing flow. Closed-form asymptotic solutions in the far field are also provided. The analysis is valid for both locally-reacting and nonlocally-reacting impedances, as is demonstrated by analyzing a nonlocally reacting effective impedance representing the presence of a thin boundary layer over the surface. The analytic solution may be written in a form suggesting a generalization of the method of images to account for the impedance surface. The line source is found to excite surface waves on the impedance surface, some of which may be leaky waves which contradict the assumption of decay away from the surface predicted in previous analyses of surface waves with flow. The surface waves may be treated either (correctly) as unstable waves or (artificially) as stable waves, enabling comparison with previous numerical or mathematical studies which make either of these assumptions.