%0 Journal Article
%T Non-paraxial Approximation of Scalar Diffraction Theory and Its Validity<br>标量衍射理论的非傍轴近似及其有效性
%A Deng Xiaojiu
%A Gao Feng
%A Liu Caixia
%A Wang Fei
%A Hu Jigang
%A <br>邓小玖
%A 高峰
%A 刘彩霞
%A 王飞
%A 胡继刚
%J 光子学报
%D 2006
%I 
%X It is well known that the paraxial approximation is no longer valid for the beams with large divergence angle and small spot size comparable with the wavelength.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.
%K Physical optics
%K Scalar diffraction theory
%K Non-paraxial approximation
%K Circular aperture diffraction
%K Validity<br>物理光学
%K 标量衍射理论
%K 非傍轴近似
%K 圆孔衍射
%K 有效性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=9F6139E34DAA109F9C104697BF49FC39&aid=C9860B2D30957254&yid=37904DC365DD7266&vid=6209D9E8050195F5&iid=B31275AF3241DB2D&sid=9124D83E61CF1CD0&eid=E23857687CD2EE51&journal_id=1004-4213&journal_name=光子学报&referenced_num=7&reference_num=19