英语释义

• German mathematician and astronomer who made accurate measurements of stellar distances and who predicted the existence on an 8th planet (1784-1846)

片语

Bessel Transform汉克尔变换（数学算法的一种）

bessel function[数] 贝塞尔函数

bessel seriesbessel级数

Bessel beamsBessel光束

bessel filterIn electronics and signal processing, a Bessel filter is a type of linear filter with a maximally flat group delay (maximally linear phase response). Bessel filters are often used in audio crossover system

Bessel point贝塞耳点

Bessel polynomial贝塞尔多项式

bessel processIn mathematics, a Bessel process, named after Friedrich Bessel, is a type of stochastic proces The Bessel process of order n is the real-valued process X given by

bessel级数bessel series

Friedrich Bessel贝塞尔

英汉例句

• This paper deals with an investigation of intensity distribution of the partially coherent Bessel beams focused by an aperture lens.

  研究了部分相干贝塞尔光束经过光阑透镜聚焦后的光强分布。

• Using active fault movement data, we calculated the average horizontal strain rate field of China Continent and vicinity since late Pleistocene with Bessel bicubic spline model.

  根据活断层资料，利用贝塞尔双三次样条模型对中国大陆及其邻区晚更新世以来的平均水平应变率场进行了计算。

• In this paper, diffraction integral equations and Bessel Functions are used to getting perfect solution of Fraunhofer ring aperture diffraction, and the diffraction pattern is analysed.

  本文从衍射积分公式出发，利用贝塞尔函数，求得夫瑯禾费环孔衍射积分的精确解，并对衍射图样进行分析讨论。

• Bessel low a place in people 「abuse」 is also a lower probability of infection is an effective way.

  贝塞尔说，少在人多的地方「扎堆儿」也是降低感染概率的一个有效方法。

• Results show that if the cross-section of the axicon is ideally manufactured in circular symmetry, the field distribution behind the axicon is approximately an ideal Bessel beam.

  计算结果指出，当轴棱锥的截面为圆对称的理想加工时，轴棱锥产生的光场分布为近似理想的零阶贝塞耳光。

• We reveal that ring soli-tons could reside on different rings in different order Bessel lattices.

  环形孤子可以灵活耦合到不同阶的贝塞尔格子以及其的不同环中。

• Because of its good time-delaying Character, Bessel filters are widely used when selectivity is not so important, and time-delaying performance is highly demanded.

  贝塞尔型滤波器具有优良的时延性，因而常用于选择性要求低而时延性要求高的场合。

• 「We just don「t see a lot of activity happening from a crop development perspective,」 Bessel said. 「(The extent of frost damage) is a really difficult one to call right now... it」s very erratic.」

  贝塞尔说：「目前从作物发展的角度来看，我们没有看到大量的活动发生(程度冻害)是一个非常困难的一年…这是非常不稳定。」

• Numerical calculations show that after focused by the axicon, a vortex beam can convert into a high-order Bessel beam.

  数值模拟结果表明，涡旋光束经过轴棱锥聚焦后可获得高阶贝塞尔光束。

• A novel technique to produce the self-imaging Talbot effect, nearly non-diffracting bottle beams which were interfered by the two Bessel beams generated from the axicons was proposed.

  提出一种由轴棱锥产生的贝塞尔光干涉整形得到具有自成像塔尔博特效应的近似无衍射局域空心光束的新方法。

• This paper gives a theoretical and analytical solution of the dynamic response for long gas pipeline in the form of infinite series with Bessel functions.

  本文以贝塞尔函数级数和的形式，给出了动态特性的理论解析解。

• Diffracton integral equations and Bessel Functions are used to get perfect solution of Fraunhofer ring aperture diffraction, and the diffraction pattern is analysed.

  从衍射积分公式出发，利用贝塞尔函数，求得夫瑯禾费环孔衍射积分的精确解，并对衍射图样进行了分析。

• Based on our work, the physical meaning of diffraction-free beams, the propagation and transformation as well as focusing properties of Bessel beams are analyzed.

  基于我们的工作，本文分析了无衍射光束的物理意义，贝塞耳光束的传输变换和聚焦特性。

• The main method of evaluation is Bessel formula.

  重复性评定方法，主要是贝塞尔公式。

• Make use of the perfect characters of Bessel functions, this result may put a way to the final solution of the propagation of the shock waves.

  借助于贝塞尔函数的良好性质，其研究结果可用于地震波传播问题的研究。

• In this paper, H-transformation is formulated according to the theory of Bessel series. The complete series expressing a function and its derivative are derived.

  根据贝塞尔级数理论，建立H变换，导出函数及其导数的贝塞尔级数的完整表达式。

• Applying the theory of Bessel function, the exact transfer matrix formulae of the asymmetric free vibration of the circular and annular plate elements with uniform thickness can be obtained.

  应用贝塞尔函数理论，求得等厚度圆板和环板单元非对称自由振动传递矩阵的正确公式。

• Making convenience of computation, the calculation method of the spherical Bessel functions for complex arguments is presented.

  为便于计算，给出了复宗量的球贝塞尔函数的计算方法。

• The calculation results are close to that of the Bessel function method.

  该法计算简单，结果接近于其它方法。

• Tearing mode instabilities have been discussed for a reversed field pinch configuration of Bessel function model surrounded by a vacuum region.

  本文讨论了外面具有真空区域的反场收缩位形的撕裂模不稳定性。

• This algorithm has improved efficiency of calculation obviously for dual Bessel integration.

  故本算法对双重贝塞尔函数积分的计算效率有明显提高。