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The Discretized MIE-Formalism for Electromagnetic Scattering

By T. Rother and K. Schmidt

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T. Rother and K. Schmidt, "The Discretized Mie-Formalism for Electromagnetic Scattering," Progress In Electromagnetics Research, Vol. 17, 91-183, 1997.
doi:10.2528/PIER97021000
http://www.jpier.org/PIER/pier.php?paper=970210

References:
1. Schuerman, D. W. (ed.), Light Scattering by Irregularly Shaped Particles, Plenum Press, New York, 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, Norwood, 1986.

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

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

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

6. Chandrasekhar, S., An Introduction to the Study of Stellar Structures, Univ. of Chicago Press, Chicago, 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, New York, 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, New York, 1957.

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

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

18. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley and Sons, New York, 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, Boca Raton, 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, Singapore, 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, Berlin, 1994.

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

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

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

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

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

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

55. Wang, J. J. H., Generalized Moment Methods in Electromagnetics, John Wiley and Sons, New York, 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, Oxford, 1965.

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

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

60. Newton, R. G., Scattering Theory of Waves and Particles, Springer-Verlag, New York, 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, San Diego, 1978.

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

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


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