垂直天线阵观测信息反演大气折射率廓线

赵小峰; 黄思训

doi:10.7498/aps.60.119203

摘要

利用垂直天线阵观测得到的电磁场信息建立目标泛函,从电磁波抛物方程传播模式出发,利用偏微分方程最优控制中的伴随方法研究大气折射率廓线反演问题. 针对反演的不适定性,采用正则化思想对目标泛函进行改造,并根据变分同化思想构建反演迭代格式. 数值模拟试验验证了理论算法的可行性. 由于采用分步Fourier算法求解电磁波抛物方程传播模式和伴随模式过程中产生的固有误差随着传播距离的增加累积增大,反演廓线在传播距离较远时不能收敛于观测廓线. 在这种情况下,引入较好的初猜廓线和背景场可以有效地改进反演结果.

关键词:

Abstract

In this paper we put forward a possibility of refractive index profile retrieval using field measurements at an array of radio receivers through the variational adjoint approach. The derivation of the adjoint model begins with the electromagnetic parabolic equation for a smooth, perfectly conducting surface and horizontal polarization conditions. To deal with the ill-posed difficulties of the inversion, the regularization idea is introduced into the establishment of the cost function. Based on the variational assimilation idea, the retrieval iterative format is constructed. Numerical experiments demonstrate the feasibility of theoretic algorithm for refractivity estimation. However, using the split-step Fourier algorithm to solve the forward model and the adjoint model, the intrinsic error of the solutions will increase with the extension of the propagation range, which reduces the inversion accuracy at long distance propagation. Through adopting a good initial refractivity profile and introducing the background fields in the cost function the inversions could generally be improved.

Keywords:

作者及机构信息

1.
解放军理工大学气象学院,南京 211101

基金项目: 国家自然科学基金(批准号:41175025)资助的课题.

Authors and contacts

1.
Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101, China

参考文献

[1]	Yan H J, Fu Y, Hong Z J 2006 Introduction to Modern Atmospheric Refraction (Shanghai: Science and Educational Press) (in Chinese) p16 [严豪健、符养、洪振杰 2006 现代大气折射引论 (上海:上海科技教育出版社) 第16页]
[2]	Halvey R A 1983 Proc. IEEE Part F 130 643
[3]
[4]
[5]	Richter J H 1969 Radio Sci. 4 1261
[6]
[7]	Gingras D F, Gerstoft P, Gerr N L 1997 IEEE Trans. Antennas Propagat. 45 1536
[8]	Tabrikian J, Krolik J L 1999 IEEE Trans. Antennas Propagat. 47 1727
[9]
[10]
[11]	Gerstoft P, Gingras D F, Rogers L T, Hodgkiss W S 2000 IEEE Trans. Antennas Propagat. 48 345
[12]
[13]	Valtr P and Pechac P 2005 Novel Method of Vertical Refractivity Profile Estimation Using Angle of Arrival Spectra 28th General Assembly of International Union. of Radio Science New Delhi, India
[14]
[15]	Zhao X F, Huang S X, Shi W L, Xiang J 2011 Chin. Phys. B 20 099201
[16]	Huang S X, Han W, Wu R S 2004 Sci. Chin. D 47 630
[17]
[18]
[19]	Huang S X, Wu R S 2005 Mathematical Physics Problems in Atmospheric Science 2nd Edition (Beijing: Meteorology Press) (in Chinese) p460 [黄思训、伍荣生 2005 大气科学中的数学物理问题第二版 (北京:气象出版社) 第460页]
[20]
[21]	Huang S X, Teng J J, Lan W R, Xiang J 2005 Chin. J. Theor. Appl. Mech. 37 399 (in Chinese) [黄思训、滕加俊、兰伟仁、项杰 2005 力学学报 37 399]
[22]
[23]	Hursky P, Porter M B, Cornuelle B D, Hodgkiss W S, Kuperman W A 2004 J. Acoust. Soc. Am. 115 607
[24]
[25]	Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛峥、黄思训 2010 物理学报 59 1734]
[26]	Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 3912 (in Chinese) [盛峥、黄思训 2010 物理学报 59 3912]
[27]
[28]
[29]	Dockery G D 1988 IEEE Trans. Antennas Propagat. 36 1464
[30]	Kuttler J R, Dockery G D 1991 Radio Sci. 26 381
[31]
[32]
[33]	Barrios A E 1994 IEEE Trans. Antennas Propagat. 42 90
[34]
[35]	Akbarpour R, Webster A R 2005 IEEE Trans. Antennas Propagat. 53 3785
[36]
[37]	Barrios A E, Anderson K D, Lindem G E 2006 Advanced Propagation Model (APM) Analysis of VHF Signals in the Southern California Desert Technical Report 1945 San Diego, USA
[38]	Valtr P, Pechac P, Kvicera V, Grabner M A 2010 Radioengineering 19 117
[39]
[40]	Zhao X F, Huang S X 2010 Radioengineering 19 601
[41]
[42]	Morales J L, Nocedal J 2001 ACM Trans. on Mathemath. Software 27 83
[43]
[44]	Yardim C 2007 Ph.D. Dissertation (Electrical Engineering, University of California, San Diego, USA)
[45]
[46]
[47]	Tikhonov A N, Arsenin V Y 1977 Solutions of ill-posed problems Winston and Sons, Washington, USA
[48]	Hansen P C, Oleary D P 1993 Siam J. Sci. Comput. 14 1487
[49]
[50]
[51]	Li Jun, Huang S X 2001 Sci. Chin. Ser. D 44 847
[52]	Kalnay E 2005 Atmospheric Modeling, Data Assimilation and Predictability (Beijing: Meteorology Press) (in Chinese) p115
[53]

施引文献

[1]	Yan H J, Fu Y, Hong Z J 2006 Introduction to Modern Atmospheric Refraction (Shanghai: Science and Educational Press) (in Chinese) p16 [严豪健、符养、洪振杰 2006 现代大气折射引论 (上海:上海科技教育出版社) 第16页]
[2]	Halvey R A 1983 Proc. IEEE Part F 130 643
[3]
[4]
[5]	Richter J H 1969 Radio Sci. 4 1261
[6]
[7]	Gingras D F, Gerstoft P, Gerr N L 1997 IEEE Trans. Antennas Propagat. 45 1536
[8]	Tabrikian J, Krolik J L 1999 IEEE Trans. Antennas Propagat. 47 1727
[9]
[10]
[11]	Gerstoft P, Gingras D F, Rogers L T, Hodgkiss W S 2000 IEEE Trans. Antennas Propagat. 48 345
[12]
[13]	Valtr P and Pechac P 2005 Novel Method of Vertical Refractivity Profile Estimation Using Angle of Arrival Spectra 28th General Assembly of International Union. of Radio Science New Delhi, India
[14]
[15]	Zhao X F, Huang S X, Shi W L, Xiang J 2011 Chin. Phys. B 20 099201
[16]	Huang S X, Han W, Wu R S 2004 Sci. Chin. D 47 630
[17]
[18]
[19]	Huang S X, Wu R S 2005 Mathematical Physics Problems in Atmospheric Science 2nd Edition (Beijing: Meteorology Press) (in Chinese) p460 [黄思训、伍荣生 2005 大气科学中的数学物理问题第二版 (北京:气象出版社) 第460页]
[20]
[21]	Huang S X, Teng J J, Lan W R, Xiang J 2005 Chin. J. Theor. Appl. Mech. 37 399 (in Chinese) [黄思训、滕加俊、兰伟仁、项杰 2005 力学学报 37 399]
[22]
[23]	Hursky P, Porter M B, Cornuelle B D, Hodgkiss W S, Kuperman W A 2004 J. Acoust. Soc. Am. 115 607
[24]
[25]	Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛峥、黄思训 2010 物理学报 59 1734]
[26]	Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 3912 (in Chinese) [盛峥、黄思训 2010 物理学报 59 3912]
[27]
[28]
[29]	Dockery G D 1988 IEEE Trans. Antennas Propagat. 36 1464
[30]	Kuttler J R, Dockery G D 1991 Radio Sci. 26 381
[31]
[32]
[33]	Barrios A E 1994 IEEE Trans. Antennas Propagat. 42 90
[34]
[35]	Akbarpour R, Webster A R 2005 IEEE Trans. Antennas Propagat. 53 3785
[36]
[37]	Barrios A E, Anderson K D, Lindem G E 2006 Advanced Propagation Model (APM) Analysis of VHF Signals in the Southern California Desert Technical Report 1945 San Diego, USA
[38]	Valtr P, Pechac P, Kvicera V, Grabner M A 2010 Radioengineering 19 117
[39]
[40]	Zhao X F, Huang S X 2010 Radioengineering 19 601
[41]
[42]	Morales J L, Nocedal J 2001 ACM Trans. on Mathemath. Software 27 83
[43]
[44]	Yardim C 2007 Ph.D. Dissertation (Electrical Engineering, University of California, San Diego, USA)
[45]
[46]
[47]	Tikhonov A N, Arsenin V Y 1977 Solutions of ill-posed problems Winston and Sons, Washington, USA
[48]	Hansen P C, Oleary D P 1993 Siam J. Sci. Comput. 14 1487
[49]
[50]
[51]	Li Jun, Huang S X 2001 Sci. Chin. Ser. D 44 847
[52]	Kalnay E 2005 Atmospheric Modeling, Data Assimilation and Predictability (Beijing: Meteorology Press) (in Chinese) p115
[53]

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