T-matrix computations of light scattering by nonspherical particles: A review

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 55, Issue 5, 1996, Pages 535-575

  Mishchenko, Michael I ^a   Travis, Larry D ^a   Mackowski, Daniel W ^b  

^a NASA GODDARD INSTITUTE FOR SPACE STUDIES   (United States)

^b AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATRIX ALGEBRA; MAXWELL EQUATIONS; NUMERICAL METHODS; PARTICLE OPTICS; PROBLEM SOLVING;

NONSPHERICAL PARTICLES; T MATRIX COMPUTATIONS;

LIGHT SCATTERING;

EID: 0030145688     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-4073(96)00002-7     Document Type: Article

References (181)

1. H. C. van de Hulst, Light Scattering by Small Particles, Wiley, New York, NY (1957).
2. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York, NY (1983).
3. J. E. Hansen and L. D. Travis, Space Sci. Rev. 16, 527 (1974).
4. D. W. Schuerman (ed.), Light Scattering by Irregularly Shaped Particles, Plenum Press, New York, NY (1980).
5. V. K. Varadan and V. V. Varadan (eds.), Acoustic, Electromagnetic and Elastic Wave Scattering-Focus on the T-matrix Approach, Pergamon Press, New York, NY (1980).
6. T. Oguchi, Radio Sci. 16, 691 (1981).
7. A. R. Holt, Radio Sci. 17, 929 (1982).
8. J. P. Mon, Radio Sci. 17, 953 (1982).
9. P. W. Barber and H. Massoudi, Aerosol Sci. Technol. 1, 303 (1982).
10. C. F. Bohren and S. B. Singham, J. Geophys. Res. 96, 5269 (1991).
11. W. J. Wiscombe and A. Mugnai, NASA Ref. Publ. 1157, NASA/GSFC, Greenbelt, MD (1986).
12. P. C. Waterman, Proc. IEEE 53, 805 (1965).
13. P. C. Waterman, Alta Frequenza (Speciale) 38, 348 (1969).
14. P. C. Waterman, Phys. Rev. D 3, 825 (1971).
15. P. C. Waterman, J. Appl. Phys. 50, 4550 (1979).
16. P. C. Waterman and N. E. Pedersen, J. Appl. Phys. 59, 2609 (1986).
17. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing, Wiley, New York, NY (1985).
18. V. V. Varadan, A. Lakhtakia, and V. K. Varadan, J. Acoust. Soc. Am. 84, 2280 (1988).
19. J. I. Hage, J. M. Greenberg, and R. T. Wang, Appl. Opt. 30, 1141 (1991).
20. B. T. Draine and P. J. Flatau, JOSA A 11, 1491 (1994).
21. K. Lumme and J. Rahola, Astrophys. J. 425, 653 (1994).
22. S. Asano and M. Sato, Appl. Opt. 19, 962 (1980).
23. N. V. Voshchinnikov and V. G. Farafonov, Astrophys. Space Sci. 204, 19 (1993).
24. M. I. Mishchenko, JOSA A 8, 871 (1991); errata, ibid. 9, 497 (1992).
25. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum, World Scientific, Singapore (1988).
26. V. K. Varadan, in Acoustic, Electromagnetic and Elastic Wave Scattering-Focus on the T-Matrix Approach, V. K. Varadan and V. V. Varadan, eds., pp. 103-134, Pergamon Press, New York, NY (1980); V. V. Varadan and V. K. Varadan, Phys. Rev. D 21, 388 (1980).
27. V. K. Varadan, in Acoustic, Electromagnetic and Elastic Wave Scattering-Focus on the T-Matrix Approach, V. K. Varadan and V. V. Varadan, eds., pp. 103-134, Pergamon Press, New York, NY (1980); V. V. Varadan and V. K. Varadan, Phys. Rev. D 21, 388 (1980).
28. D. S. Saxon, Phys. Rev. 100, 1771 (1955).
29. S. Ström, in Field Representations and Introduction to Scattering, V. V. Varadan, A. Lakhtakia, and V. K. Varadan, eds., pp. 143-164, North-Holland, Amsterdam (1991).
30. M. I. Mishchenko, Kinem. Fiz. Nebes. Tel 7(5), 93 (1991).
31. L. E. Paramonov, JOSA A 12, 2698 (1995).
32. M. I. Mishchenko, Astrophys. Space Sci. 164, 1 (1990).
33. F. Borghese, P. Denti, R. Saija, G. Toscano, and O. I. Sindoni, Aerosol Sci. Technol. 3, 227 (1984).
34. N. G. Khlebtsov, Appl. Opt. 31, 5359 (1992).
35. J. W. Hovenier and C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).
36. J. F. de Haan, P. B. Bosma, and J. W. Hovenier, Astron. Astrophys. 183, 371 (1987).
37. C. V. M. van der Mee and J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).
38. I. M. Gelfand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and Their Applications, Pergamon Press, Oxford (1963).
39. S. Chandrasekhar, Radiative Transfer, Oxford Univ. Press, London (1950).
40. V. V. Sobolev, Light Scattering in Planetary Atmospheres, Pergamon Press, Oxford (1975).
41. H. C. van de Hulst, Multiple Light Scattering, Academic Press, New York, NY (1980).
42. H. Domke, Astrophys. Space Sci. 29, 379 (1974).
43. C. E. Siewert, Astrophys. J. 245, 1080 (1981).
44. M. I. Mishchenko, Appl. Opt. 32, 4652 (1993).
45. W. M. F. Wauben, private communication (1993).
46. E. Fucile, F. Borghese, P. Denti, and R. Saija, JOSA A 10, 2611 (1993).
47. M. I. Mishchenko, Astrophys. J. 367, 561 (1991).
48. M. I. Mishchenko, J. Electromagn. Waves Appl. 6, 1341 (1992).
49. E. Fucile, F. Borghese, P. Denti, and R. Saija, Appl. Opt. 34, 4552 (1995).
50. J. Vivekanandan, W. M. Adams, and V. N. Bringi, J. Appl. Meteorol. 30, 1053 (1991).
51. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, NY (1953).
52. P. Barber and C. Yeh, Appl. Opt. 14, 2864 (1975).
53. S. Ström and W. Zheng, Radio Sci. 22, 1273 (1987).
54. P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods, World Scientific, Singapore (1990).
55. A. Boström, G. Kristensson, and S. Ström, in Field Representations and Introduction to Scattering, V. V. Varadan, A. Lakhtakia, and V. K. Varadan, eds., pp. 165-210, North-Holland, Amsterdam (1991).
56. S. Ström, Am. J. Phys. 43, 1060 (1975).
57. J. B. Schneider and I. C. Peden, IEEE Trans. Antennas Propag. 36, 1317 (1988).
58. J. Schneider, J. Brew, and I. C. Peden, IEEE Trans. Geosci. Remote Sens. 29, 555 (1991).
59. B. Peterson and S. Ström, Phys. Rev. D 10, 2670 (1974).
60. V. N. Bringi and T. A. Seliga, Ann. Telecommun. 32, 392 (1977).
61. D.-S. Wang and P. W. Barber, Appl. Opt. 18, 1190 (1979).
62. D.-S. Wang, H. C. H. Chen, P. W. Barber, and P. J. Wyatt, Appl. Opt. 18, 2672 (1979).
63. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Appl. Opt. 24, 4146 (1985).
64. F. Kuik, Ph.D. thesis, Free Univ., Amsterdam (1992).
65. M. I. Mishchenko and L. D. Travis, JQSRT 51, 759 (1994).
66. M. I. Mishchenko, JQSRT 46, 171 (1991).
67. F. Kuik, J. F. de Haan, and J. W. Hovenier, JQSRT 47, 477 (1992).
68. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, Cambridge Univ. Press, Cambridge (1992).
69. P. W. Barber, IEEE Trans. Microwave Theory Tech. 25, 373 (1977).
70. M. F. Iskander, A. Lakhtakia, and C. H. Durney, IEEE Trans. Antennas Propag. 31, 317 (1983).
71. A. Lakhtakia, M. F. Iskander, and C. H. Durney, IEEE Trans. Microwave Theory Tech. 31, 640 (1983).
72. M. F. Iskander and A. Lakhtakia, Appl. Opt. 23, 948 (1984).
73. A. Lakhtakia and M. F. Iskander, IEEE Trans. Elelctromagn. Compat. 25, 448 (1983).
74. M. F. Iskander, S. C. Olson, R. E. Benner, and D. Yoshida, Appl. Opt. 25, 2514 (1986).
75. M. F. Iskander, H. Y. Chen, and T. V. Duong, IEEE Trans. Electromagn. Compat 31, 157 (1989).
76. P. C. Waterman, in Computer Techniques for Electromagnetics, Vol. 7, R. Mittra, ed., pp. 97-157, Pergamon Press, Oxford (1973).
77. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Appl. Opt. 23, 3502 (1984).
78. A. Lakhtakia, V. V. Varadan, and V. K. Varadan, J. Appl. Phys. 58, 4525 (1985).
79. M. I. Mishchenko and L. D. Travis, Opt. Comm. 109, 16 (1994).
80. S. G. Warren, Appl. Opt. 23, 1206 (1984).
81. A. Macke, M. I. Mishchenko, K. Muinonen, and B. E. Carlson, Opt. Lett. 20, 1934 (1995).
82. Y. Takano and M. Tanaka, Appl. Opt. 19, 2781 (1980).
83. C. Liang and Y. T. Lo, Radio Sci. 2, 1481 (1967).
84. J. H. Bruning and Y. T. Lo, IEEE Trans. Antennas Propag. 19, 378 (1971); ibid. 19, 391 (1971).
85. J. H. Bruning and Y. T. Lo, IEEE Trans. Antennas Propag. 19, 378 (1971); ibid. 19, 391 (1971).
86. B. Peterson and S. Ström, Phys. Rev. D 8, 3661 (1973).
87. B. Peterson, Phys. Rev. A 16, 1363 (1977).
88. O. R. Cruzan, Q. Appl. Math. 20, 33 (1962).
89. K. A. Fuller, Ph.D. thesis, Texas A&M Univ., College Station, TX (1987).
90. K. A. Fuller and G. W. Kattawar, Opt. Lett. 13, 90 (1988); ibid. 13, 1063 (1988).
91. K. A. Fuller and G. W. Kattawar, Opt. Lett. 13, 90 (1988); ibid. 13, 1063 (1988).
92. F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, J. Aerosol. Sci. 20, 1079 (1989).
93. K. A. Fuller, Appl. Opt. 30, 4716 (1991).
94. D. W. Mackowski, Proc. R. Soc. London A 433, 599 (1991).
95. A.-K. Hamid, I. R. Ciric, and M. Hamid, Can. J. Phys. 68, 1419 (1990); IEE Proc. H 138, 565 (1991).
96. A.-K. Hamid, I. R. Ciric, and M. Hamid, Can. J. Phys. 68, 1419 (1990); IEE Proc. H 138, 565 (1991).
97. W. C. Chew, Y. M. Wang, and L. Gürel, J. Electromagn. Waves Appl. 6, 1537 (1992).
98. Y. M. Wang and W. C. Chew, IEEE Trans. Antennas Propag. 41, 1633 (1993).
99. W. C. Chew, C. C. Lu, and Y. M. Wang, JOSA A 11, 1528 (1994).
100. D. W. Mackowski, JOSA A 11, 2851 (1994).
101. K. A. Fuller, JOSA A 11, 3251 (1994).
102. L. F. Fonseca, M. Gomez, and L. Cruz, Physica A 207, 123 (1994).
103. Y. C. Tzeng and A. K. Fung, J. Electromagn. Waves Appl. 8, 61 (1994).
104. C. C. Lu, W. C. Chew, and L. Tsang, Radio Sci. 30, 25 (1995).
105. K. A. Fuller, JOSA A 12, 881 (1995).
106. F. de Daran, V. Vignéras-Lefebvre, and J. P. Parneix, IEEE Trans. Magn. 31, 1598 (1995).
107. Y.-L. Xu, Appl. Opt. 34, 4573 (1995).
108. L. M. Zurk, L. Tsang, K. H. Ding, and D. P. Winebrenner, JOSA A 12, 1772 (1995).
109. M. P. Ioannidou, N. C. Skaropoulos, and D. P. Chrissoulidis, JOSA A 12, 1782 (1995).
110. L. M. Zurk, L. Tsang, and D. P. Winebrenner, Radio Sci., submitted (1996).
111. F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, JOSA A 9, 1327 (1992).
112. F. Borghese, P. Denti, and R. Saija, Appl. Opt. 33, 484 (1994); errata, ibid. 34, 5556 (1995).
113. K. A. Fuller, JOSA A 12, 893 (1995).
114. G. Videen, D. Ngo, P. Chýlek, and R. G. Pinnick, JOSA A 12, 922 (1995).
115. M. I. Mishchenko and D. W. Mackowski, Opt. Lett. 19, 1604 (1994).
116. M. I. Mishchenko, D. W. Mackowski, and L. D. Travis, Appl. Opt. 34, 4589 (1995).
117. S. Ström and W. Zheng, IEEE Trans. Antennas Propag. 36, 376 (1988).
118. W. Zheng, IEEE Trans. Antennas Propag. 36, 1396 (1988).
119. W. Zheng and S. Ström, IEEE Trans. Antennas Propag. 37, 373 (1989).
120. C. Warner and A. Hizal, Radio Sci. 11, 921 (1976).
121. M. F. Iskander, P. W. Barber, C. H. Durney, and H. Massoudi, IEEE Trans. Microwave Theory Tech. 28, 801 (1980).
122. P. W. Barber, D.-S. Wang, and M. B. Long, Appl. Opt. 20, 1121 (1981).
123. S. C. Hill, A. C. Hill, and P. W. Barber, Appl. Opt. 23, 1025 (1984).
124. K. Aydin and T. A. Seliga, J. Atmos. Sci. 41, 1887 (1984).
125. P. E. Geller, T. G. Tsuei, and P. W. Barber, Appl. Opt. 24, 2391 (1985).
126. C. D. Kummerov and J. A. Weinman, IEEE Trans. Geosci. Remote Sens. 26, 629 (1988).
127. H. H. Barksdale and C. W. Bostian, IEEE Trans. Antennas Propag. 36, 1033 (1988).
128. V. N. Lopatin and F. Ya. Sid'ko, Introduction to Optics of Cell Suspensions, Nauka, Novosibirsk (1988) (in Russian).
129. M. Hofer and O. Glatter, Appl. Opt. 28, 2389 (1989).
130. F. Ya. Sid'ko, V. N. Lopatin, and L. E. Paramonov, Polarization Characteristics of Suspensions of Biological Particles, Nauka, Novosibirsk (1990) (in Russian).
131. O. B. Toon, E. V. Browell, S. Kinne, and J. Jordan, Geophys. Res. Lett. 17, 393 (1990).
132. N. G. Khlebtsov, A. G. Melnikov, and V. A. Bogatyrev, J. Colloid Interface Sci. 146, 463 (1991).
133. M. I. Mishchenko, Earth Moon Planets 53, 149 (1991); M. I. Mishchenko, Astrophys. Space Sci. 180, 163 (1991).
134. M. I. Mishchenko, Earth Moon Planets 53, 149 (1991); M. I. Mishchenko, Astrophys. Space Sci. 180, 163 (1991).
135. M. I. Mishchenko, Earth Moon Planets 57, 203 (1992).
136. C. Flesia, L. de Schoulepnikoff, A. Mugnai, and L. Stefanutti, in IRS'92: Current Problems in Atmospheric Radiation, S. Keevallik and O. Kärner, eds., pp. 96-100, Deepak, Hampton, VA (1993); C. Flesia, A. Mugnai, Y. Eemery, S. Godin, L. de Schoulepnikoff, and V. Mitev, Geophys. Res. Lett. 21, 1443 (1994).
137. C. Flesia, L. de Schoulepnikoff, A. Mugnai, and L. Stefanutti, in IRS'92: Current Problems in Atmospheric Radiation, S. Keevallik and O. Kärner, eds., pp. 96-100, Deepak, Hampton, VA (1993); C. Flesia, A. Mugnai, Y. Eemery, S. Godin, L. de Schoulepnikoff, and V. Mitev, Geophys. Res. Lett. 21, 1443 (1994).
138. Z. Xing, Ph.D. thesis, Leiden Univ. (1993); Z. Xing and J. M. Greenberg, JOSA A 11, 657 (1994).
139. Z. Xing, Ph.D. thesis, Leiden Univ. (1993); Z. Xing and J. M. Greenberg, JOSA A 11, 657 (1994).
140. M. I. Mishchenko, JQSRT 52, 95 (1994).
141. K. C. Ho and F. S. Allen, Inv. Probl. 10, 387 (1994).
142. L. E. Paramonov, Opt. Atmos. Okeana 7, 1139 (1994); Opt. Specktrosk. 77, 660 (1994).
143. L. E. Paramonov, Opt. Atmos. Okeana 7, 1139 (1994); Opt. Specktrosk. 77, 660 (1994).
144. A. Q. Sierra and A. V. Delgado Mora, Appl. Opt. 34, 6256 (1995).
145. M. I. Mishchenko and L. D. Travis, Appl. Opt. 33, 7206 (1994).
146. M. I. Mishchenko, A. A. Lacis, B. E. Carlson, and L. D. Travis, Geophys. Res. Lett. 22, 1077 (1995).
147. M. I. Mishchenko and J. W. Hovenier, Opt. Lett. 20, 1356 (1995).
148. R. Ruppin, J. Phys. D 23, 757 (1990).
149. F. Kuik, J. F. de Haan, and J. W. Hovenier, Appl. Opt. 33, 4906 (1994).
150. A. Mugnai and W. J. Wiscombe, J. Atmos. Sci. 37, 1291 (1980).
151. A. Mugnai and W. J. Wiscombe, Appl. Opt. 25, 1235 (1986).
152. W. J. Wiscombe and A. Mugnai, Appl. Opt. 27, 2405 (1988).
153. A. Mugnai and W. J. Wiscombe, Appl. Opt. 28, 3061 (1989).
154. P. Chylek, V. Ramaswamy, R. Cheng, and R. G. Pinnick, Appl. Opt. 20, 2980 (1981).
155. M. I. Mishchenko and D. W. Mackowski, JQSRT 55, 683 (1996).
156. G. A. d'Almeida, P. Koepke, and E. P. Shettle, Atmospheric Aerosols, Deepak, Hampton, VA (1991).
157. J. F. de Haan, Ph.D. thesis, Free Univ., Amsterdam (1987).
158. P. Stammes, Ph.D. thesis, Free Univ., Amsterdam (1989).
159. R. J. Perry, A. J. Hunt, and D. R. Huffman, Appl. Opt. 17, 2700 (1978).
160. K. Sassen, Bull. Am. Meteorol. Soc. 72, 1848 (1991).
161. W. L. Eberhard, Appl. Opt. 31, 6485 (1992).
162. S. J. Ostro, Rev. Mod. Phys. 65, 1235 (1993).
163. G. L. Stephens, Remote Sensing of the Lower Atmosphere, Oxford Univ. Press, New York, NY (1994).
164. E. Rignot, J. Geophys. Res. 100, 9389 (1995).
165. C. Tang and K. Aydin, IEEE Trans. Geosci. Remote Sens. 33, 93 (1995).
166. K.-N. Liou and H. Lahore, J. Appl. Meteorol. 13, 257 (1974).
167. R. H. Zerull, Beitr. Phys. Atmos. 49, 168 (1976).
168. G. S. Kent, G. K. Yue, U. O. Farrukh, and A. Deepak, Appl. Opt. 22, 1655 (1983); J. D. Klett, ibid. 24, 1638 (1985); V. Srivastava, M. A. Jarzembski, and D. A. Bowdle, ibid. 31, 1904 (1992).
169. G. S. Kent, G. K. Yue, U. O. Farrukh, and A. Deepak, Appl. Opt. 22, 1655 (1983); J. D. Klett, ibid. 24, 1638 (1985); V. Srivastava, M. A. Jarzembski, and D. A. Bowdle, ibid. 31, 1904 (1992).
170. G. S. Kent, G. K. Yue, U. O. Farrukh, and A. Deepak, Appl. Opt. 22, 1655 (1983); J. D. Klett, ibid. 24, 1638 (1985); V. Srivastava, M. A. Jarzembski, and D. A. Bowdle, ibid. 31, 1904 (1992).
171. Y. Sasano and E. V. Browell, Appl. Opt. 28, 1670 (1989).
172. S. T. Massie, P. L. Bailey, J. C. Gille, E. C. Lee, J. L. Mergenthaler, A. E. Roche, J. B. Kumer, E. F. Fishbein, J. W. Waters, and W. A. Lahoz, J. Atmos. Sci. 51, 3027 (1994).
173. N. G. Khlebtsov, V. A. Bogatyrev, L. A. Dykman, and A. G. Melnikov, Colloid. J. 57, 384 (1995).
174. P. Chýlek, G. Videen, D. Ngo, R. G. Pinnick, and J. D. Klett, J. Geophys. Res. 100, 16325 (1995).
175. D. W. Mackowski and P. D. Jones, J. Thermophys. Heat Transfer 9, 193 (1995).
176. W. C. Chew and C. C. Lu, IEEE Trans. Antennas Propag. 43, 1483 (1995).
177. J. Haferman, Ph.D. thesis, Univ. of Iowa, Iowa City, IA (1995).
178. J. W. Hovenier, K. Lumme, M. I. Mishchenko, N. V. Voschinnikov, D. W. Mackowski, and J. Rahola, JQSR T in press (1996).
179. M. I. Mishchenko, L. D. Travis, and A. Macke, Appl. Opt. 22, in press (1966).
180. M. I. Mishchenko, Opt. Comm. 21, in press (1966).
181. S. Liang and M. I. Mishchenko, Remote Sens. Environ., submitted (1966).