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Since the traditional anti-statistical algorithms in the inversion of refractivity from radar clutter （RFC） need too much calculation, a new physical algorithm （variation adjoint combined with the regularization method） is proposed instead. In the variation adjoint method, the tangent model, adjoint equations and accompanying boundary conditions, the solving expression of adjoint equations, and the mathematical functional expression of the gradient were derived respectively, and the problem of how to coordinate functional gradient of the complex equations is solved. In the regularization method, to take into account the characteristics of radar electromagnetic wave propagation, we choose a suitable regularization term to solve the inversion of the ill-posed problems. Finally, the implementation of the iterative inversion algorithm was derived.
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Keywords:
- ocean duct /
- terrain parabolic equation /
- variation adjoint /
- regularization
[1] ［1］Yan H J, Fu Y, Hong Z J 2006 Introduction to Modern Atmospheric Refraction （Shanghai: Science and Educational Press） p132 （in Chinese）［严豪健、符养、洪掁杰 2006 现代大气折射引论 （上海: 上海科技教育出版社） 第132页］
[2] ［2］Hong Z J, Guo P, Yan H J 2006 Chin. Astron. Astrophy. 30 330
[3] ［3］Gerstoft P, Rogers L T, Krolik J L, Hodgkiss W S 2003 Radio Sci. 38 2640
[4] ［4］Gersotft P, Hodgkiss S W, Rogers L T, Jablecki M 2004 Radio Sci. 39 3077
[5] ［5］Vasudevan S, Anderson H R, Kraut S, Gerstoft P 2007 Radio Sci. 42 3423
[6] ［6］Yardim C, Gerstoft P, Hodgkiss W S 2008 IEEE Antennas Propag. 56 1058
[7] ［7］Douvenot R, Fabbro V, Gerstoft P, Bourlier C, Saillard J 2008 Radio Sci. 43 3842
[8] ［8］Yardim, C, Gerstoft P, Hodgkiss W S 2009 Radio Science. 44 3897
[9] ［9］Sheng Z, Xu L H, Shi H Q 2008 Modern Radar 30 18（in Chinese）［盛峥、徐如海、石汉青 2008 现代雷达 30 18］
[10] ］Sheng Z, Huang S X, Chen L 2009 Journal of PLA University of Science and Technology 10 200（in Chinese）［盛峥、黄思训、程亮 2009 解放军理工大学学报 10 200］
[11] ］Sheng Z, Huang S X 2009 Acta Phys. Sin. 58 4328（in Chinese）［盛峥、黄思训 2009 58 4328］
[12] ］Sheng Z, Huang S X, Zheng G D 2009 Acta Phys. Sin. 58 4335（in Chinese）［盛峥、黄思训、曾国栋 2009 58 4335］
[13] ］Sheng Z, Huang S X, Zhao X F 2009 Acta Phys. Sin. 58 6627 （in Chinese）［盛峥、黄思训、赵小峰 2009 58 6627］
[14] ］Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. 18 5084
[15] ］Barrios A E 1994 IEEE Antennas Propag. 42 90
[16] ］Huang S X, Sheng Z 2006 Acta Phys. Sin. 55 6720 （in Chinese）［黄思训、盛峥 2006 55 6720］
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[1] ［1］Yan H J, Fu Y, Hong Z J 2006 Introduction to Modern Atmospheric Refraction （Shanghai: Science and Educational Press） p132 （in Chinese）［严豪健、符养、洪掁杰 2006 现代大气折射引论 （上海: 上海科技教育出版社） 第132页］
[2] ［2］Hong Z J, Guo P, Yan H J 2006 Chin. Astron. Astrophy. 30 330
[3] ［3］Gerstoft P, Rogers L T, Krolik J L, Hodgkiss W S 2003 Radio Sci. 38 2640
[4] ［4］Gersotft P, Hodgkiss S W, Rogers L T, Jablecki M 2004 Radio Sci. 39 3077
[5] ［5］Vasudevan S, Anderson H R, Kraut S, Gerstoft P 2007 Radio Sci. 42 3423
[6] ［6］Yardim C, Gerstoft P, Hodgkiss W S 2008 IEEE Antennas Propag. 56 1058
[7] ［7］Douvenot R, Fabbro V, Gerstoft P, Bourlier C, Saillard J 2008 Radio Sci. 43 3842
[8] ［8］Yardim, C, Gerstoft P, Hodgkiss W S 2009 Radio Science. 44 3897
[9] ［9］Sheng Z, Xu L H, Shi H Q 2008 Modern Radar 30 18（in Chinese）［盛峥、徐如海、石汉青 2008 现代雷达 30 18］
[10] ］Sheng Z, Huang S X, Chen L 2009 Journal of PLA University of Science and Technology 10 200（in Chinese）［盛峥、黄思训、程亮 2009 解放军理工大学学报 10 200］
[11] ］Sheng Z, Huang S X 2009 Acta Phys. Sin. 58 4328（in Chinese）［盛峥、黄思训 2009 58 4328］
[12] ］Sheng Z, Huang S X, Zheng G D 2009 Acta Phys. Sin. 58 4335（in Chinese）［盛峥、黄思训、曾国栋 2009 58 4335］
[13] ］Sheng Z, Huang S X, Zhao X F 2009 Acta Phys. Sin. 58 6627 （in Chinese）［盛峥、黄思训、赵小峰 2009 58 6627］
[14] ］Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. 18 5084
[15] ］Barrios A E 1994 IEEE Antennas Propag. 42 90
[16] ］Huang S X, Sheng Z 2006 Acta Phys. Sin. 55 6720 （in Chinese）［黄思训、盛峥 2006 55 6720］
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