Investigation of the scattering characteristics from discrete random scatterers based on recursive aggregate T-matrix algorithm

Cui Shuai; Zhang Xiao-Juan; Fang Guang-You

doi:10.7498/aps.63.154202

Abstract

In this paper, we derive in vector form the recursive aggregate T-matrix algorithm based on the principles of electromagnetic wave multipole expansion of vector spherical wave functions and the vector addition theorem. After that we establish a three-dimensional electromagnetic scattering model for multiple spherical scatterers by simulating the scattering of subsurface discrete random scatterers using the derived algorithm. Calculating the scattering from different sizes, randomly distributed spherical scatteres and analyzing the high-order scattering effects, we can conclude that the vector recursive aggregate T-matrix algorithm has a high computation accuracy, and contains the interaction effects among multiple scatterers, therefore we can calculate the total scattering effects accurately from multiple scatterers. The established model can be served as a powerful tool in applications for retrieving the impact caused by the scattering of subsurface discrete random scatterers in soil moisture from radar measurements.

Keywords:

vector spherical wave function /
vector addition theorem /
recursive aggregate T-matrix algorithm /
high-order scattering effects

Authors and contacts

1.
Key Laboratory of Electromagnetic Radiation and Sensing Technology, Chinese Academy of Sciences, Beijing 100190, China;
2.
University of Chinese Academy of Sciences, Beijing 100190, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61172017).

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Cited By

[1]	Duan X Y, Moghaddam M 2011 Geoscience and Remote Sensing Symposium (IGARSS), 2011 IEEE International Vancouver, July 24, 2011, p1227
[2]
[3]	Zhang Y, Zhang X J, Fang G Y 2012 Acta Phys. Sin. 61 184203 (in Chinese) [张宇, 张晓娟, 方广有 2012 物理学报 61 184203]
[4]
[5]
[6]	Zhang Y, Zhang X J, Fang G Y 2013 Acta Phys. Sin. 62 044204 (in Chinese) [张宇, 张晓娟, 方广有 2013 物理学报 62 044204]
[7]
[8]	Qi Y Z, Huang L, Zhang J G, Fang G Y 2013 Acta Phys. Sin. 62 234201 (in Chinese) [齐有政, 黄玲, 张建国, 方广有 2013 物理学报 62 234201]
[9]
[10]	Lin Z W, Xu X, Zhang X J, Fang G Y 2011 Chin. Phys. Lett. 28 014101
[11]	Lin Z W, Xu X, Zhang X J, Fang G Y 2011 Chin. Phys. Lett. 28 014102
[12]
[13]
[14]	Foldy L L 1945 Phys. Rev. 67 107
[15]	Lax M 1952 Phys. Rev. 85 261
[16]
[17]	Peterson B, Strom S 1974 J. Acoust. Soc. Am. 56 771
[18]
[19]
[20]	Waterman P C 1956 Proc. IEEE 53 805
[21]	Waterman P C 1961 J. Math. Phys. 2 700
[22]
[23]
[24]	Twersky V 1967 J. Math. Phys. 8 589
[25]
[26]	Liang C, Lo Y T 1967 Radio Sci. 2 1481
[27]
[28]	Bruning J H, Lo Y T 1971 IEEE Trans. Antennas Propagat. AP-19 378
[29]	Peterson B, Strom S 1973 Phys. Rev. D 8 3667
[30]
[31]	Han G X, Han Y P 2010 Acta Phys. Sin. 59 2434 (in Chinese) [韩国霞, 韩一平 2010 物理学报 59 2434]
[32]
[33]	Cui S, Zhang X J, Fang G Y 2013 Chin. Phys. Lett. 30 034101
[34]
[35]	Cui S, Zhang Y, Zhang P, Zhang X J, Fang G Y 2011 Geoscience and Remote Sensing Symposium (IGARSS), 2011 IEEE International Vancouver, July 24, 2011, p289
[36]
[37]
[38]	Wang H H, Sun X M 2012 Chin. Phys. B 21 054204
[39]	Ulaby T F, Moore K R, Fung K A 1981 Microwave Remote Sensing: Active and Passive (Vol. 3) (Addison: Wesley Publishing Company) p1085
[40]
[41]	Chew W C 1989 Micro Opt. Tech. Lett. 2 380
[42]
[43]	Wang Y M, Chew W C 1990 Micro Opt. Tech. Lett. 3 102
[44]
[45]
[46]	Chew W C, Wang Y M 1990 Micro Opt. Tech. Lett. 3 164
[47]	Chew W C, Gurel L, Wang Y M, Otto G, Wagner R 1992 IEEE Trans Microwave Theory Tech. 40 716
[48]
[49]
[50]	Chew W C, Friedrich A J, Geiger R 1990 IEEE Trans Geosci Remote 28 207
[51]
[52]	Chew W C, Wang Y M, Gurel L 1992 J. Electromag Waves Appl. 6 1537
[53]	Bohren C F, Huffman D R 1983 Absorption and Scattering of Light by Small Particles (New York: A Wiley-Interscience Publication) p57
[54]
[55]	Tsang L, Kong J A, Ding K H 2000 Scattering of Electromagnetic Waves-Theories and Applications (New York: A Wiley-Interscience Publication) p2
[56]
[57]	Stein S 1961 Quarterly Journal Appl. Math. 19 15
[58]
[59]	Cruzan O R 1962 Quarterly Journal Appl. Math. 20 33
[60]
[61]	Wittmann R C 1988 IEEE Trans Antennas Propagat 36 1078
[62]
[63]	Tsang L, Kong J A, Ding K H 2001 Scattering of Electromagnetic Waves-Numerical Simulations (New York: A Wiley-Interscience Publication) p533
[64]
[65]	Chew W C 1995 Waves and Fields in Inhomogeneous Media (New York: IEEE Press) p430
[66]
[67]	Wang Y H, Zhang Y M, Guo L X 2011 Acta Phys. Sin. 60 021102 (in Chinese) [王运华, 张彦敏, 郭立新 2011 物理学报 60 021102]
[68]
[69]	Xu C W, Feng Z, Liu L N, Niu D P 2012 Microwave and Millimeter Wave Circuits and System Technology (MMWCST), 2012 International Workshop on, Chengdu, April 19-20, 2012, p1
[70]
[71]
[72]	Khajeahsani M S, Mohajeri F, Abiri H 2011 IEEE Trans Antennas Propagat 59 3819
[73]	Yan W Z, Du Y, Wu H 2008 PIER 85 39
[74]
[75]	Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202

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Vol. 63, Issue 15 - 2014-08-05

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