| 角谱公式与瑞利-索末菲公式的等价性 |
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| 引用本文： | 刘普生,王建东,刘义东. 角谱公式与瑞利-索末菲公式的等价性[J]. 实验科学与技术, 2013, 0(5): 209-210,229 |
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| 作者姓名： | 刘普生 王建东 刘义东 |
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| 作者单位： | 电子科技大学物理电子学院,成都610054 |
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| 摘 要： | 基于矢量平面波角谱公式和球面波的Weyl表示式，未采用任何近似处理，非常方便地推导出矢量形式的第一类和第二类瑞利-索末菲衍射积分公式。作为特例，当只考虑光场的一维横向分量时，类似地可得到标量形式的瑞利-索末菲衍射积分公式。结果表明：平面波角谱公式与瑞利-索末菲衍射公式是等价的。
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| 关 键 词： | 衍射理论 角谱公式 瑞利-索末菲衍射积分公式 球面波Weyl表示式 |
Equivalence of the Angular-spectrum Represention and Rayleigh-Sommerfeld Formulae |
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| LIU Pushing,WANG Jiandong,LIU Yidong. Equivalence of the Angular-spectrum Represention and Rayleigh-Sommerfeld Formulae[J]. Experiment Science & Technology, 2013, 0(5): 209-210,229 |
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| Authors: | LIU Pushing WANG Jiandong LIU Yidong |
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| Affiliation: | (School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China) |
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| Abstract: | Based on the vectorial angular-spectrum formula and the Weyl representation of a spherical wave, the vectorial Rayleigh- Sommerfeld （RS） diffraction formulae of the first and second kinds are readily derived. The scalar first and second RS diffraction formu- lae can be treated as special cases of the result and deduced by considering only one transversal component of the electric field. It is shown that the angular-spectrum formula and Rayleigh-Sommerfeld diffraction formulae are equivalence. |
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| Keywords: | diffraction theory angular-spectrum formula Rayleigh-Sommerfeld diffraction integrals Weyl representation of a spher-ical wave |
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