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Evaporation duct is a multipath environment on the sea, which tends to distort the signals, causes lower localization accuracy or even affects the normal work of radar when using the traditional localization algorithms. This paper presents a localization method in time reversal parabolic equation based on the radiation pattern loading. It could effectively handle the effects of evaporation duct and adaptively compensate the signal distortion, form time reversed waves matched with the propagation environment, and lead to a robust focusing and localization of the target. This method uses multipath effects flexibly to increase the effective aperture of antenna array for super resolution. In addition, it has a good tolerance in element spacing leading to a sparse array configuration which is more practical on the sea and widens its application fields. Simulation results show that the azimuth resolution in evaporation duct with the same aperture array has been improved 2 times more than in the free space by using this method; when 30λ is adopted as the element spacing, the sidelobe levels can be kept below -8.96 dB, so ghost images are effectively suppressed. The proposed method has strong robustness and high accuracy, thus may be useful in many practical applications, such as communication, search and rescue, pre-warning system on the sea, etc.
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Keywords:
- parabolic equation method /
- time reversal /
- localization /
- self-adaptive focusing
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[2] Dockey G D 1988 IEEE T Antenn. Propag. 36 1464
[3] Zhang J P, Wu Z S, Zhao Z W, Zhang Y S, Wang B 2012 Chin. Phys. B 21 109202
[4] Zhang Q H, Liao C, Sheng N, Cheng L L 2013 Acta Phys. Sin. 62 204101 (in Chinese)[张青洪, 廖成, 盛楠, 陈伶璐 2013 62 204101]
[5] Spencer T A, Walker R A, Hawkes R M 2005 JGPS. 4 245
[6] Guo J Y, Cao L, Long Y L, Gong Z Q 2009 Acta Scientiarum Naturalium UN. 48 47 (in Chinese) [郭建炎, 曹林, 龙云亮, 龚主前 2009 中山大学学报 48 47]
[7] Li D X, Yang R J, Wang H J, Jiang Z Z 2011 Chin J Radio. 4 683 (in Chinese) [李德鑫, 杨日杰, 王鸿吉, 蒋志忠 2011 电波科学学报 4 683]
[8] Lerosey G, Rosny J D, Tourin A, Fink M 2007 Science 315 1120
[9] Kim S, Edelmann G F, Kuperman W A, Hodgkiss W S, Song H C, Akal T 2001 J. Acoust. Soc. Am. 110 820
[10] Zhang T W, Yang K D, Ma Y L 2010 Chin. Phys. B 19 124301
[11] Blomgren P, Papanicolaou G, Zhao H K 2002 J. Acoust. Soc. Am. 111 230
[12] Papanicolaou G, Ryzhik L, Solna K 2002 Matematica Contemporanea 23 139
[13] Sheng X L, Hui J Y, Liang G L 2005 Acta Acoust. 30 271 (in Chinese) [生雪莉, 惠俊英, 梁国龙 2005 声学学报 30 271]
[14] Zhang Z M, Wang B Z, Ge G D, Liang M S, Ding S 2012 Acta Phys. Sin. 61 098401 (in Chinese) [章志敏, 王秉中, 葛广顶, 梁木生, 丁帅 2012 61 098401]
[15] Liang M S, Wang B Z, Zhang Z M, Ding S, Zang R 2013 Acta Phys. Sin. 62 058401 (in Chinese) [梁木生, 王秉中, 章志敏, 丁帅, 臧锐 2013 62 058401]
[16] Zhou H D, Wang B Z, Ding S, Ou H Y 2013 Acta Phys. Sin. 62 114101 (in Chinese) [周洪澄, 王秉中, 丁帅, 欧海燕 2013 62 114101]
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[1] Tappert F D 1997 Wave propagation and underwater acoustics (Berlin Heidelberg: Springer) pp224-287
[2] Dockey G D 1988 IEEE T Antenn. Propag. 36 1464
[3] Zhang J P, Wu Z S, Zhao Z W, Zhang Y S, Wang B 2012 Chin. Phys. B 21 109202
[4] Zhang Q H, Liao C, Sheng N, Cheng L L 2013 Acta Phys. Sin. 62 204101 (in Chinese)[张青洪, 廖成, 盛楠, 陈伶璐 2013 62 204101]
[5] Spencer T A, Walker R A, Hawkes R M 2005 JGPS. 4 245
[6] Guo J Y, Cao L, Long Y L, Gong Z Q 2009 Acta Scientiarum Naturalium UN. 48 47 (in Chinese) [郭建炎, 曹林, 龙云亮, 龚主前 2009 中山大学学报 48 47]
[7] Li D X, Yang R J, Wang H J, Jiang Z Z 2011 Chin J Radio. 4 683 (in Chinese) [李德鑫, 杨日杰, 王鸿吉, 蒋志忠 2011 电波科学学报 4 683]
[8] Lerosey G, Rosny J D, Tourin A, Fink M 2007 Science 315 1120
[9] Kim S, Edelmann G F, Kuperman W A, Hodgkiss W S, Song H C, Akal T 2001 J. Acoust. Soc. Am. 110 820
[10] Zhang T W, Yang K D, Ma Y L 2010 Chin. Phys. B 19 124301
[11] Blomgren P, Papanicolaou G, Zhao H K 2002 J. Acoust. Soc. Am. 111 230
[12] Papanicolaou G, Ryzhik L, Solna K 2002 Matematica Contemporanea 23 139
[13] Sheng X L, Hui J Y, Liang G L 2005 Acta Acoust. 30 271 (in Chinese) [生雪莉, 惠俊英, 梁国龙 2005 声学学报 30 271]
[14] Zhang Z M, Wang B Z, Ge G D, Liang M S, Ding S 2012 Acta Phys. Sin. 61 098401 (in Chinese) [章志敏, 王秉中, 葛广顶, 梁木生, 丁帅 2012 61 098401]
[15] Liang M S, Wang B Z, Zhang Z M, Ding S, Zang R 2013 Acta Phys. Sin. 62 058401 (in Chinese) [梁木生, 王秉中, 章志敏, 丁帅, 臧锐 2013 62 058401]
[16] Zhou H D, Wang B Z, Ding S, Ou H Y 2013 Acta Phys. Sin. 62 114101 (in Chinese) [周洪澄, 王秉中, 丁帅, 欧海燕 2013 62 114101]
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