217
22. RAY OPTICS APPROXIMATION FOR RANDOM CLUSTERS
OF GAUSSIAN SPHERES
6.
ACKNOWLEDGMENTS
The author thanks J. S. V. Lagerros for valuable suggestions during the
course of the work.
7.
REFERENCES
Aitchison, J. and Brown, J. A. C. (1963). The Log-normal Distribution, University Press,
Cambridge, U.K.
Arfken, G. (1970) Mathematical Methods for Physicists, Second Edition, Academic Press,
New York.
Lagerros, J. S. V. (1997) Thermal physics of asteroids. III. Irregular shapes and albedo
variegations, Astronomy and Astrophysics, in press.
Muinonen, K. (1994) Coherent backscattering by solar system dust particles, in A. Milani, M.
Di Martin, A. Cellino (Editors): IAU Symposium No. 160, Asteroids, Comets, Meteors
1993, 271–296 (Kluwer Academic Publishers, Dordrecht).
Muinonen, K. (1996) Light scattering by Gaussian random particles, Earth, Moon, and
Planets, 72, 339–342.
Muinonen, K. (1997) Introducing the Gaussian shape hypothesis for asteroids and comets,
Submitted to Astronony and Astrophysics.
Muinonen, K., Lumme, K., Peltoniemi, J. I., and Irvine, W. M. (1989) Light scattering by
randomly oriented crystals, Applied Optics, 28, 3051–3060.
Muinonen, K., Nousiainen, T., Fast, P., Lumme, K., and Peltoniemi, J. I. (1996) Light
scattering by Gaussian random particles: Ray optics approximation, Journal of
Quantitative Spectroscopy and Radiative Transfer, 55, 577–601.
Muinonen, K., Lamberg, L., Fast, P., and Lumme, K. (1997) Ray optics regime for Gaussian
random spheres, Journal of Quantitative Spectroscopy and Radiative Transfer, 57, 197–
205.
Peltoniemi, J. I., and Lumme, K. (1992) Light scattering by closely packed particulate media,
Journal of the Optical Society of America, A 9, 1320–1326.
Peltoniemi, J. I., Lumme, K., Muinonen, K., and Irvine, W. M. (1989) Scattering of light by
stochastically rough particles, Applied Optics, 28, 4088–4095.
van de Hulst, H. C. (1957) Light Scattering by Small Particles, Wiley, New York.
22. RAY OPTICS APPROXIMATION FOR RANDOM CLUSTERS
OF GAUSSIAN SPHERES
6.
ACKNOWLEDGMENTS
The author thanks J. S. V. Lagerros for valuable suggestions during the
course of the work.
7.
REFERENCES
Aitchison, J. and Brown, J. A. C. (1963). The Log-normal Distribution, University Press,
Cambridge, U.K.
Arfken, G. (1970) Mathematical Methods for Physicists, Second Edition, Academic Press,
New York.
Lagerros, J. S. V. (1997) Thermal physics of asteroids. III. Irregular shapes and albedo
variegations, Astronomy and Astrophysics, in press.
Muinonen, K. (1994) Coherent backscattering by solar system dust particles, in A. Milani, M.
Di Martin, A. Cellino (Editors): IAU Symposium No. 160, Asteroids, Comets, Meteors
1993, 271–296 (Kluwer Academic Publishers, Dordrecht).
Muinonen, K. (1996) Light scattering by Gaussian random particles, Earth, Moon, and
Planets, 72, 339–342.
Muinonen, K. (1997) Introducing the Gaussian shape hypothesis for asteroids and comets,
Submitted to Astronony and Astrophysics.
Muinonen, K., Lumme, K., Peltoniemi, J. I., and Irvine, W. M. (1989) Light scattering by
randomly oriented crystals, Applied Optics, 28, 3051–3060.
Muinonen, K., Nousiainen, T., Fast, P., Lumme, K., and Peltoniemi, J. I. (1996) Light
scattering by Gaussian random particles: Ray optics approximation, Journal of
Quantitative Spectroscopy and Radiative Transfer, 55, 577–601.
Muinonen, K., Lamberg, L., Fast, P., and Lumme, K. (1997) Ray optics regime for Gaussian
random spheres, Journal of Quantitative Spectroscopy and Radiative Transfer, 57, 197–
205.
Peltoniemi, J. I., and Lumme, K. (1992) Light scattering by closely packed particulate media,
Journal of the Optical Society of America, A 9, 1320–1326.
Peltoniemi, J. I., Lumme, K., Muinonen, K., and Irvine, W. M. (1989) Scattering of light by
stochastically rough particles, Applied Optics, 28, 4088–4095.
van de Hulst, H. C. (1957) Light Scattering by Small Particles, Wiley, New York.