paraxial beam 中文意思是什麼
paraxial beam
解釋
傍軸光束-
In chapter 2, a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented. the equation for the atom laser beam wave - function is also given by a schrodinger equation, which is similar to the equation of the time - dependent system. therefore, it is possible to investigate the propagation of an atom laser beam
第二章：本章介紹了傍軸光束在實數折射率介質和復數折射率介質中傳輸的schrdinger形式理論，同時指出由於原子激光的傳輸滿足schrdinger方程，與含時量子系統的傳輸方程類似，故利用含時量子系統的schrdinger形式理論來研究原子激光的傳輸是可行的。 -
This thesis was divided into eight chapters, and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly. based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter, paraxial diffraction of stokes, langevin noise sources, reflection at the faces and the edges of crystals, gain coefficient, beam aperture, pulse width and fluence of 3, the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up
全文共分八章，取得的主要成果及創新點如下： （ 1 ）首次建立了諧波轉換晶體的tsrs物理模型本文根據量子力學原理，在考慮如下物理過程和參量的基礎上：光與物質的雙光子相互作用； stokes光的傍軸衍射； langevin （郎茲萬）噪聲源；晶體表面反射和端面反射；增益系數、光束口徑、脈寬和三倍頻光能量密度，推導出高通量激光在kdp和kd ~ * p諧波轉換晶體中的tsrs物理模型和空間上的近軸算符maxwell - bloch - langevin方程組。 -
Then the non - paraxial property of chirped pulsed beam and the variation of the non - paraxial correction induced by the variation of the pulse function are respectively discussed to illustrate the influence of the spectrum property on the non - paraxial property of the pulsed beam
首先分析了超短脈沖的光譜性質對其傍軸近似條件的影響，然後分別討論了啁啾脈沖的非傍軸性質以及不同脈沖形式所導致的不同非傍軸特性。 -
Based on this, a case of typical external self - focusing effect, hot - image, has been analytically and experimentally investigated in this dissertation. the principal work is as follows. ( 1 ) intense laser beam propagation equation, the paraxial wave equation, has been derived
論文的主要內容為如下幾部分： （ 1 ）從電磁波的基本傳播方程出發，推導了描述強激光在透明克爾介質中傳輸行為的非線性近軸波動方程。 -
( 2 ) based on the propagation equation of fgbs passing through unapertured paraxial abcd optical systems, the similar transformation conditions are obtained for the first time, which is expressed as that two fgbs with the same beam order have similar intensity distributions at the two positions of equal generalized fresnel number when they propagate through two ajb, cjdi ( i = l, 2 ) systems. furthermore, a comparison between a fob and a sgb of the same beam a ^ - factor but different waist widths is performed for the first time
（ 2 ）通過對作為整體的平頂高斯光束在無光闌限制近軸abcd光學系統中傳輸公式的分析，首次得到了平頂高斯光束的相似變換條件，即階數相同的平頂高斯光束在傳輸矩陣為a _ ib _ ic _ id _ i （ i = 1 ， 2 ）的兩個光學系統中傳輸時，在菲涅爾數相等的兩個面上具有相似的光強分佈。 -
Based on the above theory and methods, the main works of this thesis are lasted as follows : starting from the propagation law of partial coherent light and beam coherence - polarization ( bcp ) matrix approach, the properties of pgsm beams through both an axis - symmetric paraxial optical abcd system and an axis - unsymmetric one are studied. the analytical propagation equations of pgsm beams are derived, which enable us to study the propagation - induced polarization changes and irradiance distributions of pgsm beams through an axis - symmetric paraxial optical abcd system and an axis - unsymmetric one
在此基礎上，本文進行的主要工作有：基於空間-時間域中互強度的傳輸理論和bcp矩陣處理方法，首次研究了pgsm光束通過對稱和非對稱abcd光學系統和光闌的傳輸變換特性，推導出了pgsm光束傳輸表達式，可以對pgsm光束偏振和光強的傳輸變化進行分析。 -
To deal with the case of 2 dimension spatial self - focusing, it predicts the catastrophic collapse of a self - focusing beam in a kerr medium. this un - physical collapse is due to the invalidity of the paraxial wave equation in the neighborhood of a self - focus
在該理論應用於空間二維的自聚焦時，出現了光束將無限聚焦的結果，這在物理上是不可想像的，原因是在自聚焦點附近傍軸方程已經失效了。 -
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。 -
When the spatial parameter a is small, the non - paraxial effect does n ' t affect the temporal profile of the beam. however, when a becomes relatively larger, it influences the temporal profile greatly
當空間參數較小時超短脈沖貝塞爾光束的時間波形不受非近軸效應影響；然而當空間參數較大時，非近軸效應影響超短脈沖貝塞爾光束的時間波形。 -
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 : the paraxial propagation of partially coherent beams with the hermite - gaussian mode is investigated. the more generalized and simple expressions of the mean squared width and the beam quality factor of the beam with different mode order are obtained in terms of the cross - spectral density. our re - sults show that the higher order strengthens the variations of the mean beam width and the beam quality factor for partially coherent beams, and the relation between the two parameters of partially coherent beams is independent of the coherence length
第四章：初步探索了部分相干厄米高斯光的傍軸傳輸，根據交叉光譜密度得到了其不同模階數的平均光束束寬和光束質量因子更一般的解析表達式，較高的模階數使得光束展寬得越快，光束質量變差，且這兩個光束參量的關系與部分相干厄米高斯光的相干長度無關。 -
Chapter 2 : using a so - called variance matrix, we studied the propagation and the focusing characteristics of the paraxial light beams. the quantities characterizing the gross features for a paraxial optical beam, such as the beam width, the divergence, the curvature radius of the wavefront, the complex beam parameter q. and the beam quality factor, are related by using variance matrix
第二章：闡述了常數折射率介質中光束的傳輸和聚焦，建立了表徵傍軸光束總的特徵的量，如：束寬、衍射發散角、波前曲率半徑、復光束參數q與變換矩陣的關系，得到了光束質量因子和變換矩陣行列式的定量關系。 -
Based on the basic equation, the non - paraxial correction of pulsed beam is obtained by the spectrum analysis technic and the perturbative technic respectively. the result from the above mentioned two technics are compared to each other
基於上述方程，分別用角譜分析法和微擾法得到了脈沖光束的非傍軸修正，並對這兩種方法所得結果進行了比較。 -
The beam quality factor m2 is now widely used to characterize the quality of laser radiation. the comprehensive analysis and accurate calculations for the beam quality factors of the semiconductor lasers with different waveguide structures are provided based on the non - paraxial second - moment theory
本文基於非傍軸二階矩理論，全面的分析了半導體激光光束的光束質量因子m ~ 2 ，並計算了不同波導結構的半導體激光光束的質量因子，給出其精確的解析表達式。 -
Then the influence of the spectrum property on the non - paraxial property of the pulsed beam is discussed
並對脈沖頻譜特性對其非傍軸特性的影響進行了討論。 -
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。 -
Chapter 1 : the development of the investigation about the free - propagation of ultra - short pulsed beam is introduced, and the necessity of the investigation about the non - paraxial propagation of the ultra - short pulsed beam in free space is discussed
第一章：本章回顧了超短脈沖光束傳輸的研究進展並討論了超短脈沖光束非傍軸傳輸研究的意義。 -
When the beam is thin enough that the width can be compared with the wavelength, we must consider the vectorial and non - paraxial effects
因此，當光束十分細小時（如等於或小於波長時） ，需要使用修正的公式。
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