| 1. | A comprehensive review of the basic analytical methods for the beam transformation including the matrix optics method , diffraction integral method and wigner distribution function method is summarized
对研究光束传输变换的基本理论方法，包括矩阵光学方法、衍射积分方法和wigner分布函数方法作了归纳。 |
| 2. | 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
摘要基于菲涅耳衍射积分公式，推导出了会聚球面波通过环形光阑后场分布的解析公式，并讨论了一些特殊情况。 |
| 3. | 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
论文中,我们基于惠更斯-菲涅耳衍射积分理论研究了由轴棱锥产生的贝塞尔光束的传输特性,并且通过几何光学解析无衍射光束的聚焦特性。 |
| 4. | 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:广义惠更斯-菲涅耳衍射积分和b积分定义出发，并利用统计光学方法，对有振幅调制和位相畸变光束的非线性传输特性作了详细研究。 |
| 5. | 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
主要工作内容有： ( 1 )分析推导了平面物菲涅耳衍射的两种常用数值实现算法，即直接傅里叶变换法和卷积法，结论表明后者更符合实际工作的要求。 |
| 6. | 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
从瑞利衍射积分公式出发，未作慢变振幅近似和近轴近似的条件下，导出了等衍射长度超短脉冲高斯光束在色散介质中非近轴传输方程，可用来处理色散介质较大角度的传输。 |
| 7. | 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
用亥姆霍兹-基尔霍夫积分定理和基尔霍夫边界条件,推导出了平面波经小圆孔非傍轴衍射时轴上强度的简单解析表达式,研究了平面波经小圆孔后整个衍射空间非傍轴的轴上光强分布.给出了计算圆孔菲涅尔数的精确公式,重新检查了通常的菲涅尔数公式的有效性.数值计算显示,应用解析表达式所得的结果与应用衍射积分公式所得的结果完全一致 |
| 8. | 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
对高斯光束和零阶贝塞尔高斯光束的轴向和横向光强分布的计算结果表明：当积分面不是很靠近光阑时，用参数最佳化选取的拉盖尔高斯截断级数法与用直接数值积分所得结果符合很好。 |
| 9. | 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
本论文从实验和理论上系统地研究了三类静电自组装超薄膜的光学非线性,主要研究内容如下:在已有的z - scan理论基础之上,基于惠更斯-菲涅耳衍射积分原理推导出了适合于表征双面非线性介质光学非线性的双面膜z - scan理论。 |
| 10. | 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
基于广义惠更斯-菲涅尔衍射积分，并考虑了像散的影响，对高斯光束通过像散透镜后的传输特性作了解析研究，以光束传输因子和桶中功率为参数分析了像散高斯光束的光束质量，并以数值计算例加以说明。 |
