标量衍射理论的非傍轴近似及其有效性  

Non-paraxial Approximation of Scalar Diffraction Theory and Its Validity

作　　者：邓小玖[1] 高峰[1] 刘彩霞[1] 王飞[1] 胡继刚[1] 

机构地区：[1]合肥工业大学物理系,合肥230009

出　　处：《光子学报》2006年第6期898-901,共4页Acta Photonica Sinica

基　　金：教育部专项科研基金(011001B2);合肥工业大学科研发展基金(041003F)资助项目

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·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is well known that the paraxial approximation is no longer valid for the beams with large divergence angle and small spot size comparable with the wavelength.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.

关 键 词：物理光学 标量衍射理论 非傍轴近似 圆孔衍射 有效性 

分 类 号：O463.1[机械工程—光学工程]