共查询到20条相似文献,搜索用时 109 毫秒
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导出非傍轴区轴上点菲涅尔圆孔衍射的精确解析式,并用计算机模拟出不同参数下的各种衍射光强曲线。通过理论分析,揭示出菲涅尔圆孔衍射更深刻的物理内涵。 相似文献
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高斯光束菲涅耳圆孔衍射轴上的光强分布 总被引:1,自引:1,他引:0
本文从惠更斯-菲涅耳原理的数学表达式出发,在菲涅耳圆孔衍射的情况下求出了高斯光束入射时轴上光强分布的解析表达式,并对比平面波和球面波入射的情况进行了分折讨论. 相似文献
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利用矢量瑞利衍射积分公式,推导出非傍轴矢量高斯光束圆屏衍射的解析表示式.非傍轴矢量高斯光束圆屏衍射的轴上场分布、远场表示式、自由空间中的传输公式,以及傍轴近似下高斯光束圆屏衍射的菲涅耳和夫琅禾费衍射公式可以作为一般公式的特例统一处理.数 值计算和比较实例说明了非傍轴矢量高斯光束的光强分布和远场特性.分析表明,在圆屏衍 射中,f参数和截断参数决定光束的非傍轴行为.
关键词:
传输光学
非傍轴矢量高斯光束
圆屏衍射
矢量瑞利衍射积分公式 相似文献
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利用基尔霍夫衍射公式通过数值计算绘制出理想狭缝在不同区域的衍射光强分布,并与菲涅耳衍射公式及夫朗禾费衍射公式的计算的结果比较,对基尔霍夫衍射公式、菲涅尔衍射公式和夫朗禾费衍射公式的适用范围做了详细的讨论. 相似文献
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Based on the vectorial Rayleigh diffraction integral and the hard-edge aperture function expanded as the sum of finite-term complex Gaussian functions, an approximate analytical expression for the propagation equation of vectorial Gaussian beams diffracted at a circular aperture is derived and some special cases are discussed. By using the approximate analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and some special cases are discussed. We find that a circular aperture can produce the focusing effect but the beam becomes the shape of ellipse in the Fresnel region. When the Fresnel number is equal to unity, the beam is circular and the focused spot reaches a minimum. 相似文献
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Axial intensity distribution behind a Fresnel zone plate 总被引:1,自引:0,他引:1
An analytical expression based on an improved Rayleigh–Sommerfeld diffraction formula with evanescent term is derived for analyzing the axial light intensity distribution throughout the whole space behind a Fresnel zone plate. The effects of the number of Fresnel zones and the size of aperture on the axial intensity distribution are calculated for two kinds of Fresnel zone plate with larger and smaller aperture. The validity of the general formulae for calculating the focal lengths and the relative intensities of the foci of a Fresnel zone plate is analyzed. 相似文献
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运用Rayleigh-Sommerfeld衍射积分,详细推导了二元环形孔径全空间在轴光强分布公式.由于未作明显的近似,所得公式对衍射距离大于数倍入射波长的衍射空间都是有效的.计算并分析了这种孔径轴线上的光强分布情况.结果显示,它的最大调制深度是入射光强的16倍,比圆形孔径或环形孔径大4倍,近场的光学层析能力比远场的强.在很近场区,二元环形孔径的在轴光强分布对孔径结构比较敏感,这些特性使这种孔径在光子学和光纤光学的应用方面具有潜在的价值. 相似文献
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Based on the generalized Huygens–Fresnel diffraction integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions, the approximate analytical expression of elegant Laguerre–Gaussian beams passing through a paraxial ABCD optical system with an annular aperture is derived. Meanwhile, the corresponding closed-forms for the unapertured, circular apertured or circular black screen cases are also given. The obtained results provide more convenience for studying their propagation and transformation than the usual way by using diffraction integral formula directly. Some numerical examples are given to illustrate the propagation properties of elegant Laguerre–Gaussian beams. 相似文献
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Xiuxiang Chu 《Optics Communications》2010,283(18):3408-3414
Based on the extended Huygens-Fresnel principle and the hard-edge aperture function expanded as the sum of finite-term complex Gaussian function, analytical expression for average intensity of truncated Gaussian beam in Kolmogorov turbulence is derived, and some limiting cases are discussed. The influences of many factors, such as Fresnel number, wavelength, truncation parameter and structure constant on beam spreading are studied with the help of the average intensity formula. We found that the peak value of average intensity decreases and the beam spot spreads with the decrease of Fresnel number. The change of peak intensity against Fresnel number is slower with large aperture than that with small aperture. When Fresnel number is not small enough the influence of turbulence on intensity profiles is so small that can be neglected if structure constant is small. 相似文献
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基于广义衍射积分公式和光阑函数的复高斯展开,导出了一洛伦兹光束经一个带圆形光阑失调傍轴光学系统的近似解析传输公式.作为一般公式的特例,还给出了洛伦兹光束经一无光阑失调傍轴光学系统的解析传输式.作为数值计算的例子,运用所得到的公式分析了洛伦兹光束经带光阑失调薄透镜的传输特性.结果表明:不同强度的衍射即圆形光阑半径的大小明显影响衍射光束的归一化强度分布及其传输变化规律.
关键词:
洛伦兹光束
失调傍轴光学系统
光束传输 相似文献
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Zhangrong Mei 《Optics Communications》2011,284(22):5248-5252
The focal shifts of focused truncated random electromagnetic beams are investigated. Based on the complex Gaussian expansion method for a hard-edged aperture function, the analytical propagation formula of cross-spectral density matrix for a random electromagnetic beam focused by an optical system with a thin lens and a circular aperture is derived. The Fresnel numbers related with the beam and system parameters are defined and used to examine focal shifts. The dependence of the focal shifts on the different Fresnel numbers and polarization distribution are discussed in detail with numerical examples. 相似文献
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The far-field spectral characteristics of a broadband-pulsed Bessel–Gauss beam passing through a circular aperture are studied. Based on the expansion of a hard aperture function into a finite sum of complex Gaussian functions and starting from the Fresnel diffraction integral, the approximate analytical expression for the spectral distribution of the diffraction field is derived. The “aperture dispersion”, that is, the red and blue shifts of the spectral intensity maximum and the spectral intensity shape distortion and distribution under different conditions are studied and illustrated with numerical calculations. It is shown that the far-field, on-axis maximum spectral intensity always shifts to the right (blue shift) and the amount of the spectral shift is dependent on the source bandwidth only. However, for the cases of off-axis, when the observation angle θ approaches a critical value, a rapid spectral switch occurs. 相似文献