Abstract

The combined field integral equation is solved for electromagnetic scattering of a three-dimensional hexagonal ice column and is tested to investigate its applicability to radiation transfer in ice clouds. Convergence of a solution and the influence of rounding the hexagonal edges were checked, and no practical problems were found. The scattering characteristics of a hexagonal ice column are discussed from the size of the Rayleigh scattering region to the size at which a ray optics character appears. The size parameter of a hexagonal column is as much as 50, which was limited by computer resources.

© 2000 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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1999 (1)

1996 (2)

P. Yang, K.-N. Liou, “Finite-difference time domain method for light scattering by small ice in three-dimensional space,” J. Opt. Soc. Am. A 13, 2072–2085 (1996).
[CrossRef]

M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996).
[CrossRef]

1992 (1)

A. H. Chang, K. S. Yee, J. Prodan, “Comparison of different integral equation formulations for bodies of revolution with anisotropic surface impedance boundary conditions,” IEEE Trans. Antennas Propag. 40, 989–999 (1992).
[CrossRef]

1990 (1)

R. Kress, “Numerical solution of boundary integral equations in time-harmonic electromagnetic scattering,” Electromagnetics 10, 1–20 (1990).
[CrossRef]

1988 (1)

E. K. Miller, “A selective survey of computational electromagnetics,” IEEE Trans. Antennas Propag. 36, 1281–1305 (1988).
[CrossRef]

1986 (1)

K. N. Liou, “Influence of cirrus clouds on weather and climate processes: a global perspective,” Mon. Weather Rev. 114, 1167–1199 (1986).
[CrossRef]

1985 (2)

1984 (1)

1978 (1)

J. R. Mautz, R. F. Harrington, “H-field, E-field, and combined-field solutions for conducting bodies of revolution,” Arch. Elektr. Uebertrag. 32, 157–164 (1978).

1973 (1)

E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973).
[CrossRef]

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Chang, A. H.

A. H. Chang, K. S. Yee, J. Prodan, “Comparison of different integral equation formulations for bodies of revolution with anisotropic surface impedance boundary conditions,” IEEE Trans. Antennas Propag. 40, 989–999 (1992).
[CrossRef]

Chen, Z.

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in fortran (Cambridge U. Press, London, 1992).

Fu, Q.

Harrington, R. F.

J. R. Mautz, R. F. Harrington, “H-field, E-field, and combined-field solutions for conducting bodies of revolution,” Arch. Elektr. Uebertrag. 32, 157–164 (1978).

R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1968).

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Jayaweera, K.

Kress, R.

R. Kress, “Numerical solution of boundary integral equations in time-harmonic electromagnetic scattering,” Electromagnetics 10, 1–20 (1990).
[CrossRef]

Liou, K. N.

K. N. Liou, “Influence of cirrus clouds on weather and climate processes: a global perspective,” Mon. Weather Rev. 114, 1167–1199 (1986).
[CrossRef]

Liou, K.-N.

Mackowski, D. W.

M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996).
[CrossRef]

Mautz, J. R.

J. R. Mautz, R. F. Harrington, “H-field, E-field, and combined-field solutions for conducting bodies of revolution,” Arch. Elektr. Uebertrag. 32, 157–164 (1978).

Miller, E. K.

E. K. Miller, “A selective survey of computational electromagnetics,” IEEE Trans. Antennas Propag. 36, 1281–1305 (1988).
[CrossRef]

A. J. Poggio, E. K. Miller, “Integral equations of three-dimensional scattering problems” in Computer Techniques for Electromagnetics, R. Mittra ed. (Pergamon, Oxford, 1973).

Mishchenko, M. I.

M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996).
[CrossRef]

Mittra, R.

Müller, C.

C. Müller, Foundations of the Mathematical Theory of Electromagnetic Waves (Springer-Verlag, Berlin, 1969).

Pennypacker, C. P.

E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973).
[CrossRef]

Peterson, A. F.

Poggio, A. J.

A. J. Poggio, E. K. Miller, “Integral equations of three-dimensional scattering problems” in Computer Techniques for Electromagnetics, R. Mittra ed. (Pergamon, Oxford, 1973).

Press, W. H.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in fortran (Cambridge U. Press, London, 1992).

Prodan, J.

A. H. Chang, K. S. Yee, J. Prodan, “Comparison of different integral equation formulations for bodies of revolution with anisotropic surface impedance boundary conditions,” IEEE Trans. Antennas Propag. 40, 989–999 (1992).
[CrossRef]

Purcell, E. M.

E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973).
[CrossRef]

Sun, W.

Takano, Y.

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in fortran (Cambridge U. Press, London, 1992).

Travis, L. D.

M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996).
[CrossRef]

Vetterling, W. T.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in fortran (Cambridge U. Press, London, 1992).

Warren, S. G.

Yang, P.

Yee, K. S.

A. H. Chang, K. S. Yee, J. Prodan, “Comparison of different integral equation formulations for bodies of revolution with anisotropic surface impedance boundary conditions,” IEEE Trans. Antennas Propag. 40, 989–999 (1992).
[CrossRef]

Yoshida, K.

K. Yoshida, Functional Analysis (Springer-Verlag, Berlin, 1968).

Appl. Opt. (3)

Arch. Elektr. Uebertrag. (1)

J. R. Mautz, R. F. Harrington, “H-field, E-field, and combined-field solutions for conducting bodies of revolution,” Arch. Elektr. Uebertrag. 32, 157–164 (1978).

Astrophys. J. (1)

E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973).
[CrossRef]

Electromagnetics (1)

R. Kress, “Numerical solution of boundary integral equations in time-harmonic electromagnetic scattering,” Electromagnetics 10, 1–20 (1990).
[CrossRef]

IEEE Trans. Antennas Propag. (2)

E. K. Miller, “A selective survey of computational electromagnetics,” IEEE Trans. Antennas Propag. 36, 1281–1305 (1988).
[CrossRef]

A. H. Chang, K. S. Yee, J. Prodan, “Comparison of different integral equation formulations for bodies of revolution with anisotropic surface impedance boundary conditions,” IEEE Trans. Antennas Propag. 40, 989–999 (1992).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. Quant. Spectrosc. Radiat. Transfer (1)

M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996).
[CrossRef]

Mon. Weather Rev. (1)

K. N. Liou, “Influence of cirrus clouds on weather and climate processes: a global perspective,” Mon. Weather Rev. 114, 1167–1199 (1986).
[CrossRef]

Other (6)

R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1968).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in fortran (Cambridge U. Press, London, 1992).

A. J. Poggio, E. K. Miller, “Integral equations of three-dimensional scattering problems” in Computer Techniques for Electromagnetics, R. Mittra ed. (Pergamon, Oxford, 1973).

C. Müller, Foundations of the Mathematical Theory of Electromagnetic Waves (Springer-Verlag, Berlin, 1969).

K. Yoshida, Functional Analysis (Springer-Verlag, Berlin, 1968).

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

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