当光束具有较大的发散角或光束束腰可与波长相比拟时,傍轴近似不再成立.用微扰级数法处理非傍轴光束的传播问题,数值计算发现,对受硬边光阑限制的光束,由于高频分量的贡献,当传输距离较大时,高阶级数解的修正效果不好,甚至失效,级数解的有效范围将受到很大限制.在标量衍射理论角谱表示的基础上,以平面波圆孔衍射为例,给出了衍射场的非傍轴修正解,得到的非傍轴修正解避免了级数解本身在数学上的发散性问题,并在一定条件下,可过渡到级数解,并且指出在近场或非傍轴区对傍轴解进行高阶修正的必要性和有效性.
参考文献
| [1] | Agrawal G P,Pattanayak D N.Gaussian beam propagation beyond the paraxial approximation[J].J.Opt.Soc.Am.,1979,69(4):575-578. |
| [2] | Takenaka T,Yokota M,Fukumitsu O.Propagation of light beams beyond the paraxial approximation[J].J.Opt.Soc.Am.A,1985,2(6):826-829. |
| [3] | Varga P,T(o)r(o)k P.The Gaussian wave solution of Maxwell's equations and the validity of scalar wave approximation[J].Opt.Gommun.,1998,152:108-118. |
| [4] | Chen C G,Konkola P T,Ferrera J,et al.Analyses of vector Gaussian beam propagation paraxial and the validity of paraxial and spherical approximations[J].J.Opt.Soc.Am.A,2002,19(2):404-412. |
| [5] | Duan Kailiang,Lü Baida.Nonparaxial diffraction of vectorial plane waves at a small aperture[J].Optics & Technology,2005,37:193-197. |
| [6] | Kang Xiaoping,Lü Baida.M2 of nonparaxial truncated cosh-Gaussian beams[J].Chinese Journal of Quantum Electronics (量子电子学报),2005,22(6):851-854 (in Chinese). |
| [7] | Duan Kailiang,Lü Baida.Validity of series expansion corrections to the paraxial approximation of non-paraxial beams[J].Chinese Journal of Lasers (中国激光),2004,31(4):432-436 (in Chinese). |
| [8] | Ciattoni A,Crosignani B,Porto P D.Vectorial free-space optical propagation:a simple approach for generating all-order nonparaxial corrections[J].Opt.Commun.,2000,177:9-13. |
| [9] | Deng Xiaojiu,et al.Homogeneous waves and evanescent waves in near-field diffraction of a small aperture[J].Chinese Journal of Computational Physics (计算物理),2001,18(3):211-214 (in Chinese). |
| [10] | Kowarz M W.Homogeneous and evanescent contributions in scalar near-field diffraction[J].Appl.Opt.,1995,34(17):3055-3063. |
| [11] | Cao Qing,Deng Ximing,Guo Hong.Optical beams quality factor of nonparaxial light beams.I.Definition[J].Acta Optica Sinica (光学学报),1996,16(9):1217-1222 (in Chinese). |
| [12] | Yang Guoguang,Song Feijun.Advance Physical Optics (高等物理光学)[M].Hefei:University of Science & Technology of China Press,1991.71-76 (in Chinese). |
| [13] | Deng Xiaojiu,Zhang Shijie,Hu Jigang,et al.Equivalent formula and approximation formulas of the angular spectrum representation[J].Chinese Journal of Quantum Electronics (量子电子学报),2004,21(1):7-10 (in Chinese). |
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