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).

References

[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

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

[1]	Zhang Han-Mou, Xiao Fa-Jun, Zhao Jian-Lin. Unidirectional scattering of Si ring-Au split ring nanoantenna excited by tightly focused azimuthally polarized beam. Acta Physica Sinica, 2022, 71(13): 135201. doi: 10.7498/aps.71.20212212
[2]	. High-order iterative method for vector radiative transfer equation of particle layer on rough surface. Acta Physica Sinica, 2021, (): . doi: 10.7498/aps.70.20211183
[3]	Huang Zhi-Wei, Yang Hong-Yu, Zhai Feng, Lu Xiao-Li, Lu Jun-Qiang, Wu Jian. Low-dimensional trajectory subspace of high-dimensional many-body wavefunctions by unsupervised learning. Acta Physica Sinica, 2021, 70(24): 247101. doi: 10.7498/aps.70.20210697
[4]	Liang Guo-Long, Tao Kai, Wang Jin-Jin, Fan Zhan. Broadband target beam-space transformation in generalized likelihood ratio test using acoustic vector sensor array. Acta Physica Sinica, 2015, 64(9): 094303. doi: 10.7498/aps.64.094303
[5]	Luo Zhao-Ming, Chen Shi-Zhen, Ling Xiao-Hui, Zhang Jin, Luo Hai-Lu. Conversion of cylindrical vector beams on the higher-order Poincar sphere. Acta Physica Sinica, 2014, 63(15): 154203. doi: 10.7498/aps.63.154203
[6]	Mi Li, Zhou Hong-Wei, Sun Zhi-Wei, Liu Li-Xia, Xu Sheng-Hua. The use of T-matrix method for determining coagulation rate of colloidal particles in light scattering measurement. Acta Physica Sinica, 2013, 62(13): 134704. doi: 10.7498/aps.62.134704
[7]	Wang Zheng, Gao Chun-Qing, Xin Jing-Tao. Focusing properties of the high order vector beam by a high numerical aperture lens. Acta Physica Sinica, 2012, 61(12): 124209. doi: 10.7498/aps.61.124209
[8]	Ji Wei-Jie, Tong Chuang-Ming. Bistatic scattering from three-dimensional target on perfectly conducting rough surface by using G-SMFSIA/CAG. Acta Physica Sinica, 2011, 60(1): 010301. doi: 10.7498/aps.60.010301
[9]	Zheng Shu-Dong, Li Bo-Wen, Li Ji-Guang, Dong Chen-Zhong, Yuan Wen-Yuan. The influences of the finite nuclear size effects on the energy levels and wavefunctions of hydrogen-like ions. Acta Physica Sinica, 2009, 58(3): 1556-1562. doi: 10.7498/aps.58.1556
[10]	Xu Zhi-Jun, Nie Qing-Miao, Li Peng-Hua. Study of the ground state wave function in optical lattice by using the genetic algorithm. Acta Physica Sinica, 2009, 58(5): 2878-2883. doi: 10.7498/aps.58.2878
[11]	Yao Zhi-Xin, Pan Bai-Liang, Chen Gang, Zhong Jian-Wei. State-vector function for a photon. Acta Physica Sinica, 2006, 55(5): 2158-2164. doi: 10.7498/aps.55.2158
[12]	Liang Zi-Chang, Jin Ya-Qiu. Iterative approach of high-order scattering solution for vector radiative transfer of inhomogeneous media layer. Acta Physica Sinica, 2003, 52(2): 247-255. doi: 10.7498/aps.52.247
[13]	LI XIAO-MEI, CHEN JIAN-HUA. CONSTRUCTION AND CALCULATION OF COUPLED WAVE FUNCTIONS AND MATRIX ELEMENTS OF OPERATORS FOR EQUIVALENT ELECTRONS. Acta Physica Sinica, 1999, 48(9): 1593-1600. doi: 10.7498/aps.48.1593
[14]	ZHAN YUAN-LING, WANG LI. VECTOR SCATTERING THEORY AND EXPERIMENTS FOR MULTILAYER OPTICAL COATINGS. Acta Physica Sinica, 1990, 39(2): 194-203. doi: 10.7498/aps.39.194
[15]	FAN XI-QING, ZHANG DE-XUAN, SHEN SAN-GUO. A1, T2 SYMMETRIC DEEP LEVEL WAVE FUNCTIONS IN 3c-SiC. Acta Physica Sinica, 1988, 37(2): 183-188. doi: 10.7498/aps.37.183
[16]	ZHAO BAO-HUA, ZHENG ZHAO-BO. SCATTERING WAVE FUNCTION ANALYSIS METHODS IN APERIODIC POTENTIAL. Acta Physica Sinica, 1988, 37(3): 490-496. doi: 10.7498/aps.37.490
[17]	LI MING-FU, REN SHANG-YUAN, MAO DE-QIANG. THEORY OF T2 SYMMETRIC DEEP LEVEL WAVE FUNCTIONS IN Si. Acta Physica Sinica, 1983, 32(10): 1263-1272. doi: 10.7498/aps.32.1263
[18]	ELEMENTARY PARTICLE THEORY GROUP. SOME DISCUSSIONS OF THE STRUCTURE WAVE FUNCTIONS OF MESONS IN THE APPROXIMATION OF INSTANTANEOUS INTERACTION (Ⅱ)——THE HARMONIC OSCILLATOR MODEL OF PSEUDO-SCALAR AND VECTOR MESONS. Acta Physica Sinica, 1976, 25(5): 415-422. doi: 10.7498/aps.25.415
[19]	LIU YAO-YANG. APPLICATION OF THE CONICAL FUNCTION AND MEAN VALUE THEOREM TO THE PROBLEMS OF SCATTERING. Acta Physica Sinica, 1965, 21(11): 1889-1896. doi: 10.7498/aps.21.1889
[20]	KOU TSING-TSUAN, HUANG SHU-SHUN. THE ANALYTIC WAVE FUNCTIONS FOR ATOMS. Acta Physica Sinica, 1962, 18(2): 63-71. doi: 10.7498/aps.18.63

Catalog

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

Metrics

Abstract views: 6818
PDF Downloads: 633
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板