Correlation between Rayleigh-Somerfield diffraction and physical optics integration
-
摘要: 针对准光学中电磁场传播的计算问题,研究了从不同角度出发所采用的瑞利索莫菲标量衍射积分公式和基于矢量的物理光学积分公式内在的一致性与区别.首先从物理概念上区分这两种积分方法,然后在平行口面间电磁场传播的条件下,讨论两种积分公式的一致性.借助高斯波束传播解析解作对比,分别应用两种积分方法实现了高斯波束传播的数值仿真,给出了二者在处理电磁场传播问题时的精度与处理矢量衍射时的不同应用.Abstract: To calculate the propagation of electromagnetic field in quasi-optics, the internal consistency and distinction between different approaches were researched respectively from Rayleigh-Somerfield scalar diffraction integration and vectorial physical optics integration. The two integration methods were firstly distinguished from physical conception, and then the consistency was discussed in the condition that electromagnetic field propagates between parallel planes. Propagation of the Gaussian beam was numerically simulated respectively by the two integration methods and compared with the analytical solution result. Precision of the two methods in handling problems of electromagnetic field propagation and different applications in vectorial diffraction problems was finally proposed.
-
[1] Goldsmith P F.Quasi-optical techniques [J].Proceedings of the IEEE,1992,80(11):1729-1731 [2] Martin D H,Bowen J W.Long-wave optics [J].IEEE Trans MTT,1993,41(10):1676-1690 [3] Martin D H.Millimeter-wave optics and quasi-optical antenna design//Eighth International Conference on Antennas and Propagation.London:IEE,1993:894-899 [4] Davis J G,Truscott W S.Multiple reflection suppression algorithm for terahertz quasi-optic systems [J].Electronics Letters,2010,6(1):52-54 [5] Li Junchang,Fan Zebin,Fu Yunchang.The FFT calculation for fresnel diffraction and energy conservation criterion of sampling quality//Tatsuo Okada.Lasers in Material Processing and Manufacturing.Bellingham,WA:SPIE,2002:180-186 [6] 李俊昌,陈劲波,樊则宾,等.衍射的基尔霍夫传递函数及瑞利索莫菲传递函数 [J].光电子和激光,2002,13(1):87-89 Li Junchang,Chen Jinbo,Fan Zebin,et al.The Kirchhoff transfer function and Rayleigh-Sommerfeld transfer function of diffraction [J].Journal of Optoelectronics and Laser,2002,13(1):87-89(in Chinese) [7] 何国瑜,卢才成,洪家才,等.电磁散射的计算和测量 [M].北京:北京航空航天大学出版社,2006:224-226,364-368 He Guoyu,Lu Caicheng,Hong Jiacai,et al.Electromagnetic scattering computations and measurements [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2006:224-226,364-368(in Chinese) [8] Liu Daqing,Wang Haogang,Li Huan.Tackling the slow attenuation of the spectral-domain green's function in sommerfeld integrals//International Conference on Microwave and Millimeter Wave Technology.Piscataway,NJ:IEEE,2010:110-112 [9] Pouliguen P,Hémon R,Damiens J F.Physical optics for large scale electromagnetic scattering problems//Proceedings of the Fourth European Conference on Antennas and Propagation.Piscataway,NJ:IEEE,2010:1-4 [10] Legault S R.Refining physical optics for near-field computations[J].Electronics Letters,2004,40(1):71-72 [11] Cariou R.3D near field far field correction using the approximations of the physical optic//Antennas and Propagation Society International Symposium.Piscataway,NJ:IEEE,2009:1-4 [12] 邓小玖,李国祥.平面孔的远场矢量衍射理论及其标量近似[J].合肥工业大学学报,2000,23(6):999-1002 Deng Xiaojiu,Li Guoxiang.The vector theory and its scalar approximation of the diffraction at a plane aperture in the far-field[J].Journal of Hefei University of Technology,2000,23(6):999-1002 (in Chinese) [13] 谢敬辉,廖宁放,曹良才.傅里叶光学与现代光学基础 [M].北京:北京理工大学出版社,2007:65-70 Xie Jinghui,Liao Ningfang,Cao Liangcai.Fundaentals of Fourier optics and contemporary optics [M].Beijing:Beijing Institute of Technology Press,2007:65-70(in Chinese) [14] Shen Fabin,Wang Anbo.Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula [J].Applied Optics,2006,45(6):1102-1110
点击查看大图
计量
- 文章访问数: 2331
- HTML全文浏览量: 160
- PDF下载量: 912
- 被引次数: 0