学术
摘 要:
当光束束腰（或衍射孔孔径）可与波长相比拟或光束具有较大的发散角时，傍轴近似不再成立．在标量瑞利-索末菲衍射积分的基础上，进一步研究了衍射场的非傍轴近似解，并详细分析了解的有效性．以平面波圆孔衍射为例，对衍射场的精确解、非傍轴近似解以及菲涅耳近似解进行了详细的数值计算和比较研究．结果表明，非傍轴近似对微小孔衍射非常精确、有效．[著者文摘]
文章出处:
《光子学报》-2006年35卷6期 -898-901页
栏目信息:
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文献标识码:
A
Non-paraxial Approximation of Scalar Diffraction Theory and Its Validity
Deng Xiaojiu, Gao Feng, Liu Caixia, Wang Fei, Hu Jigang （Department of physics,Hefei University of Technology, Hefei 230009）
Abstract:
It is well known that the paraxial approximation is no longer valid for the beams with large divergence angle and small spot size comparable with the wavelength. Thus, a rigorous non-paraxial treatment becomes necessary. In this paper, based on the scalar Rayleigh-Sommerfeld diffraction formula, the non-paraxial approximation solution and its validity are studied. Detailed numerical calculations for the exact solution, non-paraxial approximation solution and Fresnel approximation solution of circular aperture diffraction are performed and compared;It is shown that the non-paraxial approximation solution is rigorous and valid for the diffraction of a small aperture.[著者文摘]
Key words:
Physical optics; Scalar diffraction theory; Non-paraxial approximation; Circular aperturediffraction; Validity
基金资助:
教育部专项科研基金（01100182）和合肥工业大学科研发展基金（041003F）资助项目
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