| 1. | And also , through the numerical algorithm of fresnel diffraction , we have realized the computer generation and numerical reconstruction of point hologram and fresnel hologram
利用菲涅耳衍射积分的数值算法，分别实现了基元全息图和菲涅耳全息图的计算机生成和数字重现 |
| 2. | 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。 |
| 3. | 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。 |
| 4. | A large number of basic phase structures in the diffractive microlens can be set and arranged by a diffractive integrating algorithm according to the appearance and feature parameters of the beam process
组成衍射微透镜的大量基本相位结构，可以根据人射和出射光束的形貌特征及参数指标，通过衍射积分算法灵活设置和排布。 |
| 5. | 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。 |
| 6. | 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。 |
| 7. | Based on the scalar diffraction theory and the boundary condition of rayleigh - sommerfeld , the accurate on - axis propagating wave function of plane wave diffracted by small circular band is obtained by solving the first integral of rayleigh - sommerfeld
摘要从标量衍射理论出发，采用瑞利索末菲衍射边界条件，通过求解第一类瑞利索末菲衍射积分得到平面波经圆环衍射后轴上的波函数，进而分析轴上的光强特性以及光强极值数量、位置和大小与衍射圆环内外孔径的关系。 |
| 8. | 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。 |
| 9. | 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 |
| 10. | 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
首先利用傅立叶变换和惠更斯-菲涅尔衍射积分公式，我们给出了傍轴标量场近似下超短脉冲光束传输的基本积分解，并进一步得到了用卷积形式表示的脉冲类gauss光束解( pulsedgaussian - likebeam )的普遍形式解。 |
