paraxial approximation 中文意思是什麼
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5. without making the paraxial approximation, a detailed study on the propagation of ultrashort pulsed bessel beams in linear normal and anomalous dispersive media has been performed using the method of fourier transform
未作近軸近似的條件下，用傅立葉積分變換法詳細研究了超短脈沖貝塞爾光束在正、負色散介質中的傳輸特性。 -
The condition, under which the paraxial approximation is valid, is given. 4. starting from the rayleigh diffraction integral, the propagation equation of ultrashort pulsed beams in dispersive media has been derived without making the paraxial approximation and slowly varying envelope approximation ( svea ), which allows for relatively large angles
從瑞利衍射積分公式出發，未作慢變振幅近似和近軸近似的條件下，導出了等衍射長度超短脈沖高斯光束在色散介質中非近軸傳輸方程，可用來處理色散介質較大角度的傳輸。 -
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。 -
In chapter 2, we discuss the optics self - focusing in beam propagation. the early research was based on the scalar approximation and paraxial approximation
早期的自聚焦研究是在考慮了傍軸近似和標量場近似的前提下得到的。 -
Chapter 4 : in this chapter the influence of the spectrum property on the non - paraxial property of the pulsed beam is discussed : firstly the influence of the spectrum property on the paraxial approximation of pulsed beam is analysed
第四章：在這一章里討論了脈沖頻譜性質對其非傍軸特性的影響。
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