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111.
G. Hayward 《Ultrasonics》1984,22(4):153-162
An analysis of thickness-mode piezoelectric transducer impedance under a variety of mechanical load conditions is presented. A wideband, systems model is used to describe this impedance, which is representative of the electrical input impedance in the transmitting mode and the electrical output impedance for the receiving mode.For a fixed input voltage, the total current flowing through the transducer is considered as the vector sum of two current quantities. Firstly, an input current arising directly from the applied voltage source and secondly, a feedback current, which is generated by secondary piezoelectric action. By treating the problem in this manner, an extremely valuable insight into the nature of the electrical characteristics is provided. Complex variations in the impedance behaviour are readily explained and the physical processes that contribute to such deviations are clearly isolated. 相似文献
112.
A. P. Dawid 《Journal of multivariate analysis》1978,8(4):559-566
We investigate the structure of distributions for matrices which can be embedded in arbitrarily large matrices whose distributions have properties of invariance under orthogonal rotations. 相似文献
113.
Multi-vector Spherical Monogenics, Spherical Means and Distributions in Clifford Analysis 总被引:2,自引:0,他引:2
Rred BRACKX Bram De KNOCK Hennie De SCHEPPER 《数学学报(英文版)》2005,21(5):1197-1208
New higher-dimensional distributions have been introduced in the framework of Clifford analysis in previous papers by Brackx, Delanghe and Sommen. Those distributions were defined using spherical co-ordinates, the "finite part" distribution Fp x+^μ on the real line and the generalized spherical means involving vector-valued spherical monogenics. In this paper, we make a second generalization, leading to new families of distributions, based on the generalized spherical means involving a multivector-valued spherical monogenic. At the same time, as a result of our attempt at keeping the paper self-contained, it offers an overview of the results found so far. 相似文献
114.
Summary A simple, corrosion-resistant and non-destructive flow cell optimized for laser induced photoacoustic spectroscopic detection of HPLC effluents is described. The characteristics and analytical figures of merit of the flow cell are presented. Application of the flow cell to the detection of polynuclear aromatic hydrocarbons in HPLC effluent is demonstrated. Limits of detection were on the order of tenths of parts per million. Comparisons with the conventional UV absorbance detector and among various laser powers are discussed. 相似文献
115.
Resolution and intensity behaviour of the spherical analyzer are mainly determined by the entrance parameters (aperture angle
2α
m
, relative width of the entrance slita/r
0) and by the relative width of the exit slitb/r
0. The mutual relation of these parameteres can be so optimized that independent of the required resolution the quantities
étendue or luminosity of the spherical analyzer attain a maximum. 相似文献
116.
117.
118.
Mark Tygert 《Journal of computational physics》2010,229(18):6181-6192
We accelerate the computation of spherical harmonic transforms, using what is known as the butterfly scheme. This provides a convenient alternative to the approach taken in the second paper from this series on “Fast algorithms for spherical harmonic expansions”. The requisite precomputations become manageable when organized as a “depth-first traversal” of the program’s control-flow graph, rather than as the perhaps more natural “breadth-first traversal” that processes one-by-one each level of the multilevel procedure. We illustrate the results via several numerical examples. 相似文献
119.
F. Garcia M. Net B. García-Archilla J. Sánchez 《Journal of computational physics》2010,229(20):7997-8010
A numerical study of several time integration methods for solving the three-dimensional Boussinesq thermal convection equations in rotating spherical shells is presented. Implicit and semi-implicit time integration techniques based on backward differentiation and extrapolation formulae are considered. The use of Krylov techniques allows the implicit treatment of the Coriolis term with low storage requirements. The codes are validated with a known benchmark, and their efficiency is studied. The results show that the use of high-order methods, especially those with time step and order control, increase the efficiency of the time integration, and allows to obtain more accurate solutions. 相似文献
120.
We report on the results of theoretical investigation of the parameters of photonic nanojets formed near the shadow surface of micron-sized dielectric spheres irradiated by a laser radiation. The longitudinal and transversal dimensions of the photonic nanojet and its peak intensity also are calculated as the functions of particle size, index of absorption, and optical contrast of the particulate material. The photonic nano-flux was simulated numerically in composite particles made of a core and a shell with different refractive indices and variable shell thickness. Some practical conclusions are drawn concerning the possible ways to gain the control over the nanojet parameters in micron-sized spherical particles. 相似文献