gaussian integral 中文意思是什麼
gaussian integral
解釋
高斯積分-
Based on the generalized huygens - fresnel diffraction integral and in consideration of the effect introduced by astigmatism, the transformation properties of gaussian beams passing an astigmatic lens are studied analytically, the beam quality of astigmatic gaussian beams is analyzed in terms of the beam propagation factor ( m2 - factor ) and power in the bucket ( pib ), and illustrated with numerical examples
基於廣義惠更斯-菲涅爾衍射積分，並考慮了像散的影響，對高斯光束通過像散透鏡后的傳輸特性作了解析研究，以光束傳輸因子和桶中功率為參數分析了像散高斯光束的光束質量，並以數值計算例加以說明。 -
The criteria of convergence and gaussian integral rules are discussed as they affect the efficiency and precision of calculation
討論了收斂準則及高斯點數的選擇對計算效率和精度的影響。 -
With the method of integral within ordered product of operators, we obtain the analytical expression of quantum information counterpart of mutual information. the coherent information, as a function of input thermal state power and thermal noise channel power, we discuss the upper and lower bound for quantum gaussian channel introduced by holevo - werner and by quantum codes
用正規乘積內的算符積分技術求出了互信息的量子對應物? ?相干信息用輸入熱噪聲信號功率和通道熱噪聲功率表示的公式。討論了由holevo和werner引入的量子高斯通道量子容量的上界及由量子編碼所確定的下界。 -
Firstly, in the paper a family of integral solution representing ultrashort pulsed beam propagating in free space have been studied by using the co - moving frame coordinates and the fourier transformation for time variable in terms of well - known paraxial approximation. and the pulsed gaussian - like beam solution can be obtained as a especial solution of the integral solution, where including the pulsed gaussian beam
首先利用傅立葉變換和惠更斯-菲涅爾衍射積分公式，我們給出了傍軸標量場近似下超短脈沖光束傳輸的基本積分解，並進一步得到了用卷積形式表示的脈沖類gauss光束解（ pulsedgaussian - likebeam ）的普遍形式解。 -
But the complex analytical signal ( cas ) theory can erase this spatial sigu - larity. in this section, gauss, hyperbolic and lorentz pulsed gaussian beam have been derived and compared svea and cas solution by numerical simulatio n. in section 3, by using fourier transform technique and applying the paraxial approximation in frequency domain, we derive an integral solution for the transverse and longitudinal components of the light field propagating in free space
接著，考慮了幾種特殊的脈沖gauss光束（ pulsedgaussianbeam ） ，結果顯示，在此情況下緩變包絡近似（ slowly - varyingenvelopeapproximation ）理論已不再有效，其失效的原因是，該理論導致了脈沖光束解的空間奇異性，並使脈沖光束不再具有符合物理意義的光束行為，而通過復解析信號的分析方法可以消除這種空間奇異性。 -
The results of the axial and transversal intensity distributions of gaussian beams and 0 - order bessel - gaussian beams show that the results by the optimized laguerre - gaussian truncated series are in good agreement with those by the fresnel diffraction integral method if the integration plane is not close to the aperture
對高斯光束和零階貝塞爾高斯光束的軸向和橫向光強分佈的計算結果表明：當積分面不是很靠近光闌時，用參數最佳化選取的拉蓋爾高斯截斷級數法與用直接數值積分所得結果符合很好。 -
Assuming the load on the plate is transmitted in distributional state to the foundation, on the basis of the relationship between the nodal force and its displacement on the semi - infinite surface, the relationship between the distributional forces on the foundation surface and the nodal displacements is developed by use of the gaussian integral method
假設板上荷載按分佈力形式傳遞到地基中，根據半無限空間上某節點力與該處的位移關系，用高斯積分法建立了地基表面分佈力與節點位移關系表達式。 -
This dissertation applies 3 - d finite element theory to development of the shape functions and stiffness matrixes of the triangular prism isoparameter elements ( 6 to 15 nodes ). a calculating method for gaussian integral in triangular prism is presented. the stress field in welded steel structures can be computed by the triangular prism isoparameter elements ( 6 to 15 nodes ) and hexahedron isoparameter elements ( 8 to 21 nodes )
本文應用三維有限元理論，構造了一類五面體6 15節點單元的形函數，提出了在五面體單元內的gauss積分處理方法，建立了相應的單元剛度矩陣，將其與六面體8 21節點單元結合，可用於計算焊接鋼結構的應力場。
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