fresnel integral 中文意思是什麼
fresnel integral
解釋
菲涅耳積分-
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。 -
A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the helmhotz - kirchhoff integral theorem and the kirchhoff ' s boundary conditions. it is studied the nonparaxial on - axis intensity distribution throughout the whole space behind a circular aperture. an accurate formula to calculate the fresnel number of circular aperture is presented and the validity of usual fresnel number formula is reexamined. by using the analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and it is shown that the results of the two methods are completely coincident
用亥姆霍茲-基爾霍夫積分定理和基爾霍夫邊界條件，推導出了平面波經小圓孔非傍軸衍射時軸上強度的簡單解析表達式，研究了平面波經小圓孔后整個衍射空間非傍軸的軸上光強分佈.給出了計算圓孔菲涅爾數的精確公式，重新檢查了通常的菲涅爾數公式的有效性.數值計算顯示，應用解析表達式所得的結果與應用衍射積分公式所得的結果完全一致 -
Abstract : in this paper, starting from the generalized huygens - fresnel diffraction integral and b - integral definition, and based on the statistical - optics method, the nonlinear propagation properties of laser beams with amplitude modulations and phase fluctuations have been studied in detail
文摘:廣義惠更斯-菲涅耳衍射積分和b積分定義出發，並利用統計光學方法，對有振幅調制和位相畸變光束的非線性傳輸特性作了詳細研究。 -
Based on huygens - fresnel diffraction integral theory, the propagation properties of bessel beam were studied in this paper. by using the analyses of geometrical optics, hollow beam are found and the formula of the starting point 、 the end point and the bottle length can be got
論文中，我們基於惠更斯-菲涅耳衍射積分理論研究了由軸棱錐產生的貝塞爾光束的傳輸特性，並且通過幾何光學解析無衍射光束的聚焦特性。 -
In this paper, the stl technique with cw modulated top - hat beam excitation is investigated theoretically and experimentally. 1. the theoretical model based on the fresnel diffraction integral is developed to describe the stl signal excited with the cw modulated top - hat beam for the first time to the best of our knowledge
本論文提出採用連續調制的平頂光束作為激勵光的表面熱透鏡技術測量薄膜吸收的方法，主要開展了如下工作: 1 .建立了連續調制的平頂光束作用下樣品的表面熱透鏡信號模型。 -
Based on the fresnel diffraction integral, the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed
摘要基於菲涅耳衍射積分公式，推導出了會聚球面波通過環形光闌后場分佈的解析公式，並討論了一些特殊情況。 -
In this context, the nlo properties of three kinds of essa ultrathin films are investigated systematically in terms of experiment and theory. the main contents are list in the following : based on the traditional z - scan theory and the huygens - fresnel ( h - f ) diffraction integral principle, we present a double - sided film z - scan theory that is suitable to characterize the nlo properties of the double - sided nonlinear mediums
本論文從實驗和理論上系統地研究了三類靜電自組裝超薄膜的光學非線性，主要研究內容如下:在已有的z - scan理論基礎之上，基於惠更斯-菲涅耳衍射積分原理推導出了適合於表徵雙面非線性介質光學非線性的雙面膜z - scan理論。 -
The main contents of this thesis are : ( 1 ) two numerical reconstruction methods - direct fourier transform method and envelope method, are presented. these methods are deduced on the base of fresnel diffraction integral formula, which is under the condition that particle field is illuminated by plane wave
主要工作內容有： （ 1 ）分析推導了平面物菲涅耳衍射的兩種常用數值實現演算法，即直接傅里葉變換法和卷積法，結論表明後者更符合實際工作的要求。 -
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。 -
In the first part, we have studied the stimulated algorithm of the diffraction of light ; and, through direct integral, convolution, and fourier transform, we created the numerical algorithm of fresnel integral and additionally, these three methods have also been compared in this paper
首先研究光線衍射傳播的模擬演算法，分別利用直接積分法、卷積法和傅里葉變換法實現了菲涅耳積分的數值計算方法，同時比較了這三種方法的優劣。
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