fourier integral solution 中文意思是什麼

fourier integral solution 解釋
傅里葉積分解
  • fourier : n 1 傅立葉〈姓氏〉。2 Francois Marie Charles Fourier 弗朗瓦斯馬利沙利傅立葉〈1772 1837，法國空想...
  • integral : adj 1 完全的；缺一不可的，主要的。2 【數學】整的，積分的。n 全體，整體；【數學】積分。 definite i...
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. In section 4, by making use of the fourier transformation for spatial variables and starting from the nonparaxial propagating equation of ultrashort pulsed beam in temporal frequency domain, the nonparaxial solution basing on the paraxial propagating solution was derived, which come to exact solution by iterative of the paraxial integral solution

    在第四節里，通過採用空間變量的傅立葉變換和利用時間頻率域下的非傍軸傳輸方程，我們得出了超短脈沖光束傳輸的非傍軸的修正方法。
  2. 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。
  3. 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。
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