Vol. 17
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
The Discretized Mie-Formalism for Electromagnetic Scattering
By
, Vol. 17, 91-183, 1997
Abstract
Citation
Tom Rother, and K. Schmidt, "The Discretized Mie-Formalism for Electromagnetic Scattering," , Vol. 17, 91-183, 1997.
doi:10.2528/PIER97021000
References

1. Schuerman, D. W. (ed.), Light Scattering by Irregularly Shaped Particles, Plenum Press, 1980.
doi:10.1007/978-1-4684-3704-1

2. Ulaby, F. T., R. K. Moore, and A. K. Fung, Microwave Remote Sensing, Vol. 1–3, Artech House, 1986.

3. Tsang, L., J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing, John Wiley and Sons, 1985.

4. Asrar, G., Theory and Application of Optical Remote Sensing, John Wiley and Sons, 1989.

5. Kondratyev, K. Y., V. V. Kozoderov, and O. I. Smotky, Remote Sensing of the Earth from Space, Springer Verlag, 1992.

6. Chandrasekhar, S., An Introduction to the Study of Stellar Structures, Univ. of Chicago Press, 1939.

7. Giese, R. H., K. Weiss, R. H. Zerull, and T. Ono, "Large fluffy particles: A possible explanation of the optical properties of interplanetary dust," Astron. and Astrophys., Vol. 65, 265, 1978.

8. Greenberg, J. M., "Interstellar dust," Cosmic Dust, A. J. M. McDonnell (ed.), John Wiley and Sons, London, 1978.

9. Bickel, W. S. and M. E. Stafford, "Biological particles as irregularly shaped scatterers," Light Scattering by Irregularly Shaped Particles, 299, 1980.
doi:10.1007/978-1-4684-3704-1_35

10. Regan, J. F. and J. A. Parrish, The Science of Photomedicine, Plenum Press, 1982.
doi:10.1007/978-1-4684-8312-3

11. Hofle, W., "Backscatter factor and scattering loss of spatially large defects in single-mode fibres," Frequenz, Vol. 47, 226, 1993.
doi:10.1515/FREQ.1993.47.9-10.226

12. Mie, G., "Beitrage zur Optik tr¨uber Medien, speziell kolloidaler Metallosungen," Ann. Phys., Vol. 25, 377, 1908.
doi:10.1002/andp.19083300302

13. Debye, P., "Der Lichtdruck auf Kugeln von beliebigem Material," Ann. Phys., Vol. 30, 57, 1909.
doi:10.1002/andp.19093351103

14. Rayleigh, L., "On the electromagnetic theory of light," Phil. Mag., Vol. 12, 81, 1881.
doi:10.1080/14786448108627074

15. Van de Hulst, H. C., Light Scattering by Small Particles, John Wiley and Sons, 1957.

16. Wait, J. R., Electromagnetic Radiation from Cylindrical Structures, Pergamon Press, 1959.

17. Kerker, M., The Scattering of Light, Academic Press, 1969.

18. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley and Sons, 1983.

19. Flatau, P. J., G. L. Stephens, and B. T. Draine, "Light scattering by rectangular solids in the discrete dipole approximation," J. Opt. Soc. Am., Vol. A7, 593, 1990.
doi:10.1364/JOSAA.7.000593

20. Draine, B. T. and P. J. Flatau, "The discrete dipole approximation for scattering calculations," J. Opt. Soc. Am., Vol. A11, 1491, 1994.
doi:10.1364/JOSAA.11.001491

21. Wendling, P., R. Wendling, and H. K. Weickmann, "Scattering of solar radiation by hexagonal ice crystals," Appl. Optics, Vol. 18, 2663, 1979.
doi:10.1364/AO.18.002663

22. Macke, A., Modellierung der optischen Eigenschaften von Cirruswolken, Dissertation, GKSS - Forschungszentrum Geesthacht, Geesthacht, 1994.

23. Yeh, C., "Perturbation approach to the diffraction of electromagnetic waves by arbitrarily shaped dielectric obstacles," Phys. Rev., Vol. 135, No. 5A, 193, 1964.
doi:10.1103/PhysRev.135.A1193

24. McDonald, B. H. and A. Wexler, "Finite-element solution of unbounded field problems," IEEE-MTT, Vol. 20, 841, 1972.
doi:10.1109/TMTT.1972.1127895

25. Kunz, K. S. and R. J. Luebbers, Finite-Difference Time Domain Method for Electromagnetics, CRC Press, 1993.

26. Waterman, P. C., "Matrix formulation of electromagnetic scattering," Proc. IEEE, Vol. 53, 805, 1965; ``Symmetry, unitarity, and geometry in electromagnetic scattering," Phys. Rev., Vol. D3, 825, 1971.
doi:10.1109/PROC.1965.4058

27. Barber, P. and C. Yeh, "Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies," Appl. Optics, Vol. 14, 2864, 1978.

28. Barber, P. and S. C. Hill, Light Scattering by Particles: Computational Methods, World Scientific, 1990.
doi:10.1142/0784

29. Mishchenko, M. I. and L. D. Travis, "Light scattering by polydispersions of randomly oriented spheroids with sizes comparable to wavelengths of observations," Appl. Optics, Vol. 33, 7206, 1994.
doi:10.1364/AO.33.007206

30. Mishchenko, M. I., L. D. Travis, and D. W. Mackowski, "T-matrix computations of light scattering by nonspherical particles: A review," JQSRT, Vol. 55, 535, 1996.
doi:10.1016/0022-4073(96)00002-7

31. Mullin, C. R., R. Sandburg, and C. O Velline, "A numerical technique for the determination of scattering cross sections of infinite cylinders of arbitrary geometrical cross section," IEEE-AP, Vol. 12, 141, 1965.

32. Wiscombe, W. J. and A. Mugnai, Single Scattering from Nonspherical Chebyshev Particles, NASA Reference Publ. 1157, 1986.

33. Morrison, J. A. and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J., Vol. 53, 955, 1974.
doi:10.1002/j.1538-7305.1974.tb02779.x

34. Al-Rizzo, H. M. and J. M. Tranquilla, "Electromagnetic scattering from dielectrically coated axisymmetric objects using the generalized point-matching technique," J. Comp. Phys., Vol. 119, 342, 1995.
doi:10.1006/jcph.1995.1139

35. Rother, T. and K. Schmidt, "The discretized Mie-formalism --- A novel algorithm to treat scattering on axisymmetric particles," Journal of Electromagnetic Waves and Applications, Vol. 10, 273-297, 1996.
doi:10.1163/156939396X01026

36. Rother, T. and K. Schmidt, "The discretized Mie-formalism for plane wave scattering by dielectric cylinders," Journal of Electromagnetic Waves and Applications, Vol. 10, 697, 1996.
doi:10.1163/156939396X00595

37. Rother, T. and K. Schmidt, "The discretized Mie-formalism for plane wave scattering on dielectric objects with non-separable geometries," JQSRT, Vol. 55, 615, 1996.

38. Pregla, R. and W. Pascher, "Method of lines," Numerical Techniques for Microwave and Millimeter Wave Passive Structures, T. Itoh (ed.), John Wiley and Sons, New York, 1989.

39. Rogge, U. and R. Pregla, "Method of lines for the analysis of striploaded optical waveguides," J. Opt. Soc. Am., Vol. B8, 459, 1991.

40. Pregla, R., "About the nature of the method of lines," AEU, Vol. 41, 386, 1987.

41. Dreher, A. and R. Pregla, "Full-wave analysis of radiating planar resonators with the method of lines," IEEE-MTT, Vol. 41, 1363, 1993.

42. Dreher, A. and T. Rother, "New aspects of the method of lines," IEEE-Microwave and Guided Wave Letters, Vol. 5, 408, 1995.

43. Petit, R. and M. Cadilhac, "Sur la diffraction d’une onde plane par un reseau infiniment conducteur," C. R. Acad. Sci., Ser. B, Vol. 262, No. 7, 468, 1966.

44. Millar, R. F., "On the Rayleigh hypothesis in scattering problems," Electron. Letters, Vol. 5, 416, 1969.

45. Bates, R., "Rayleigh hypothesis, the extended boundary condition and point matching," Electron Letters, Vol. 5, 654, 1969.

46. Millar, R. F. and R. Bates, "On the legitimacy of an assumption underlying the point-matching method," IEEE-MTT, Vol. 18, 325, 1970.

47. Millar, R. F., "The Rayleigh hypothesis and a related leastsquares solution to scattering problems for periodic surfaces and other scatterers," Radio Science, Vol. 8, 785, 1973.

48. Voronovich, A. G., Wave Scattering from Rough Surfaces, Springer-Verlag, 1994.

49. Harrington, R. F., Time-Harmonic Electromagnetic Fields, Mc-Graw Hill, 1961.

50. Kong, J. A., Electromagnetic Wave Theory, John Wiley and Sons, 1985.

51. Sommerfeld, A., Partielle Differentialgleichungen der Physik, Akademische Verlagsgesellschaft, 1958.

52. Morse, P. M. and H. Feshbach, "Methods of Theoretical Physics," McGraw Hill, 1953.

53. Stratton, J. A., Electromagnetic Theory, McGraw Hill, 1941.

54. Fick, E., Einfuhrung in die Grundlagen der Quantentheorie, Geest und Portig K.-G., 1981.

55. Wang, J. J. H., Generalized Moment Methods in Electromagnetics, John Wiley and Sons, 1991.

56. Xiao, S. and R. Vahldieck, "Solution of the Helmholtz equation with the method of lines in cylindrical coordinates," IEEE AP-S Intern. Symp., Vol. 3, 2104, Seattle, USA, 1994.

57. Wilkinson, J. H., The Algebraic Eigenvalue Problem, Oxford Univ. Press, 1965.

58. Born, M. and E. Wolf, Principles of Optics, Pergamon Press, 1980.

59. Harrington, R. F., Field Computation by Moment Methods, Macmillan Comp., 1968.

60. Newton, R. G., Scattering Theory of Waves and Particles, Springer-Verlag, 1982.

61. Richmond, J. H., "Scattering by a dielectric cylinder of arbitrary cross section shape," IEEE-AP, Vol. 13, 334, 1965.

62. Ouda, M. and A. Sebak, "Scattering from lossy dielectric cylinders using a multifilament current model with impedance boundary conditions," IEE --- Proc. H, Vol. 139, 429, 1992.

63. Yeh, C., "Backscattering cross section of a dielectric elliptical cylinder," J. Opt. Soc. Am., Vol. 55, 309, 1965.

64. Wu, T. K. and L. L. Tsai, "Scattering by arbitrarily cross-sectioned layered lossy dielectric cylinders," IEEE --- AP, Vol. 25, 518, 1977.

65. Goedecke, G. H. and S. G. O’Brien, "Scattering by irregular inhomogeneous particles via the digitized Green’s function algorithm," Appl. Optics, Vol. 27, 2431, 1988.

66. Ishimaru, A., Wave Propagation and Scattering in Random Media, Vol. 1: Single Scattering and Transport Theory, Academic Press, 1978.

67. Nieto-Vesperinas, M., Scattering and Diffraction in Physical Optics, John Wiley and Sons, 1991.

68. Abramowitz, M. and I. A. Stegun (eds.), Pocketbook of Mathematical Functions, Verlag Harri Deutsch, 1984.

69. Burberg, R., "Die Beugung elektromagnetischer Wellen am unendlich langen Kreiszylinder," Z. Naturforschg., Vol. 11a, 800, 1956.

70. Kerker, M., D. Cooke, W. A. Farone, and R. A. Jacobsen, "Electromagnetic scattering from an infinite circular cylinder at oblique incidence," J. Opt. Soc. Am., Vol. 56, 487, 1966.

71. Macke, A., M. I. Mishchenko, K. Muinonen, and B. E. Carlson, "Scattering of light by large nonspherical particles: ray tracing approximation versus T-Matrix method," Optics Lett., Vol. 20, 1934, 1995.

72. Jacobus, U. and F. M. Landstorfer, "Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape," IEEE --- AP, Vol. 43, 162, 1995.

73. Magono, C. and C. W. Lee, "Meteorological classification of natural snow crystals," J. of the Faculty of Science of the Hokkaido Univ., Vol. 2, 321, 1966.

74. Ono, A., "The shape and riming properties of ice crystals in natural clouds," J. Atmos. Sci., Vol. 26, 138, 1969.

75. Auer, Jr., A. H. and D. L. Veal, "The dimensions of ice crystals in natural clouds," J. Atmos. Sci., Vol. 27, 919, 1970.

76. Kinne, S. and K. N. Liou, "The effects of the nonsphericity and size distribution of ice crystals on the radiative properties of cirrus clouds," Atm. Res., Vol. 24, 273, 1989.

77. Kuik, F., J. F. de Haan, and J. W. Hovenier, "Single scattering of light by circular cylinders," Appl. Optics, Vol. 33, 4906, 1994.

78. Stammes, P., Light scattering properties of aerosols and the radiation inside a planetary atmosphere, Dissertation (Ph.D), Freie Universitat Amsterdam, 1989.

79. Takano, Y. and K. N. Liou, "Solar radiative transfer in cirrus clouds, Part 1: Single scattering and optical properties of hexagonal ice crystals," J. Atmos. Sci., Vol. 46, 3, 1989.

80. Takano, Y. and K. N. Liou, "Radiative transfer in cirrus clouds, Part 3: Light scattering by irregular ice crystals," J. Atmos. Sci., Vol. 52, 818, 1995.

81. Yang, P. and K. N. Liou, "Light scattering by hexagonal ice crystals: comparison of finite-difference time domain and geometric optics models," J. Opt. Soc. Am. A, Vol. 12, 162, 1995.

82. Yang, P. and K. N. Liou, "Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space," J. Opt. Soc. Am. A, Vol. 13, 2072, 1996.

83. Asano, S. and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Optics, Vol. 14, 29, 1975.

84. Mugnai, A. and W. J. Wiscombe, "Scattering of radiation by moderately nonspherical particles," J. Atmos. Science, Vol. 37, 1291, 1980.

85. Mugnai, A. and W. J. Wiscombe, "Scattering from nonspherical Chebyshev particles: 1. Cross sections, single-scattering albedo, asymmetry factor, and backscattered fraction," Appl. Optics, Vol. 25, 1235, 1985.

86. Mugnai, A. and W. J. Wiscombe, "Scattering from nonspherical Chebyshev particles: 2. Means of angular scattering patterns," Appl. Optics, Vol. 27, 2405, 1988.

87. Mugnai, A. and W. J. Wiscombe, "Scattering from nonspherical Chebyshev particles: 3. Variability in angular scattering patterns," Appl. Optics, Vol. 28, 3061, 1989.