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| 基于Rayleigh-Sommerfeld积分的矢量衍射理论的适用范围 |
| Application of the vector diffraction theory based on Rayleigh-Sommerfeld integration |
| 投稿时间：2016-11-21 |
| DOI：10.3969/j.issn.1005-5630.2017.03.005 |
| 中文关键词: 矢量衍射 Rayleigh-Sommerfeld积分 径向偏振 |
| 英文关键词:vector diffraction Rayleigh-Sommerfeld integration radial polarization |
| 基金项目:国家重点基础研究发展计划（973计划）（2015CB352001）；国家自然科学基金（61008044）；上海市自然科学基金（16ZR144600） |
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| 中文摘要: |
| 以径向偏振的Laguerre-Gaussian光束为例，探讨了基于Rayleigh-Sommerfeld积分的矢量衍射理论的适用范围。经与Richards-Wolf理论计算结果比较发现，在有效数值孔径小于0.4的情况下，Rayleigh-Sommerfeld理论可以适用，并可用于探讨小菲涅耳数的焦移问题。但对于紧聚焦大数值孔径系统，Rayleigh-Sommerfeld理论不再适用，因为这种理论低估了光波的衍射效应和矢量性，使得计算所得的聚焦光斑尺寸偏小。 |
| 英文摘要: |
| The application of the vector diffraction theory based on Rayleigh-Sommerfeld integration has been studied using Laguerre-Gaussian beams with radial polarization.It is found that the Rayleigh-Sommerfeld vector diffraction theory is valid when the numerical aperture is less than 0.4 in comparison with the calculation results of Richards-Wolf vector diffraction theory.However,for short-focus large-numercial-aperture systems,the Rayleigh-Sommerfeld theory underestimates the diffraction effect and the vector property of light waves.Thus,the Rayleigh-Sommerfeld theory cannot be used for short-focus large-numercial-aperture systems. |
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