M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578-2591 (2006).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

J. Rahola, "On the eigenvalues of the volume integral operator of electromagnetic scattering," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 21, 1740-1754 (2000).

[CrossRef]

S. D. Druger and B. V. Bronk, "Internal and scattered electric fields in the discrete dipole approximation," J. Opt. Soc. Am. B 16, 2239-2246 (1999).

[CrossRef]

Y. L. Xu and B. A. S. Gustafson, "Comparison between multisphere light-scattering calculations: rigorous solution and discrete-dipole approximation," Astrophys. J. 513, 894-909 (1999).

[CrossRef]

C. L. Liu and A. J. Illingworth, "Reply to comment by Lemke, Okamoto and Quante on 'Error analysis of backscatter from discrete dipole approximation for different ice particle shapes'," Atmos. Res. 50, 1-2 (1999).

N. B. Piller, "Coupled-dipole approximation for high permittivity materials," Opt. Commun. 160, 10-14 (1999).

[CrossRef]

A. G. Hoekstra, J. Rahola, and P. M. A. Sloot, "Accuracy of internal fields in volume integral equation simulations of light scattering," Appl. Opt. 37, 8482-8497 (1998).

[CrossRef]

H. Lemke, H. Okamoto, and M. Quante, "Comment on error analysis of backscatter from discrete dipole approximation for different ice particle shapes [Liu, C.-L., Illingworth, A. J., 1997, Atmos. Res. 44, 231-241]," Atmos. Res. 49, 189-197 (1998).

N. B. Piller and O. J. F. Martin, "Increasing the performance of the coupled-dipole approximation: a spectral approach," IEEE Trans. Antennas Propag. 46, 1126-1137 (1998).

[CrossRef]

A. G. Hoekstra, M. D. Grimminck, and P. M. A. Sloot, "Large scale simulations of elastic light scattering by a fast discrete dipole approximation," Int. J. Mod. Phys. C 9, 87-102 (1998).

[CrossRef]

J. Rahola, "Solution of dense systems of linear equations in the discrete-dipole approximation," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 17, 78-89 (1996).

[CrossRef]

K. F. Evans and G. L. Stephens, "Microwave radiative transfer through clouds composed of realistically shaped ice crystals. Part 1. Single scattering properties," J. Atmos. Sci. 52, 2041-2057 (1995).

[CrossRef]

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

F. Rouleau and P. G. Martin, "A new method to calculate the extinction properties of irregularly shaped particles," Astrophys. J. 414, 803-814 (1993).

[CrossRef]

B. T. Draine and J. J. Goodman, "Beyond Clausius-Mossotti—wave propagation on a polarizable point lattice and the discrete dipole approximation," Astrophys. J. 405, 685-697 (1993).

[CrossRef]

J. J. Goodman, B. T. Draine, and P. J. Flatau, "Application of fast-Fourier-transform techniques to the discrete-dipole approximation," Opt. Lett. 16, 1198-1200 (1991).

[CrossRef]
[PubMed]

J. I. Hage, J. M. Greenberg, and R. T. Wang, "Scattering from arbitrarily shaped particles—theory and experiment," Appl. Opt. 30, 1141-1152 (1991).

[CrossRef]
[PubMed]

B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).

[CrossRef]

E. M. Purcell and C. R. Pennypacker, "Scattering and adsorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).

[CrossRef]

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

P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

M. J. Collinge and B. T. Draine, "Discrete-dipole approximation with polarizabilities that account for both finite wavelength and target geometry," J. Opt. Soc. Am. A 21, 2023-2028 (2004).

[CrossRef]

B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994).

[CrossRef]

B. T. Draine and J. J. Goodman, "Beyond Clausius-Mossotti—wave propagation on a polarizable point lattice and the discrete dipole approximation," Astrophys. J. 405, 685-697 (1993).

[CrossRef]

J. J. Goodman, B. T. Draine, and P. J. Flatau, "Application of fast-Fourier-transform techniques to the discrete-dipole approximation," Opt. Lett. 16, 1198-1200 (1991).

[CrossRef]
[PubMed]

B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).

[CrossRef]

B. T. Draine, "The discrete dipole approximation for light scattering by irregular targets," in Light Scattering by Nonspherical Particles, Theory, Measurements, and Applications, M.I.Mishchenko, J.W.Hovenier, and L.D.Travis, eds. (Academic, 2000), pp. 131-145.

B. T. Draine and P. J. Flatau, "User guide for the discrete dipole approximation code DDSCAT 6.1," http://xxx.arxiv.org/abs/astro-ph/0409262 (2004).

K. F. Evans and G. L. Stephens, "Microwave radiative transfer through clouds composed of realistically shaped ice crystals. Part 1. Single scattering properties," J. Atmos. Sci. 52, 2041-2057 (1995).

[CrossRef]

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).

P. J. Flatau, "Improvements in the discrete-dipole approximation method of computing scattering and absorption," Opt. Lett. 22, 1205-1207 (1997).

[CrossRef]
[PubMed]

B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994).

[CrossRef]

J. J. Goodman, B. T. Draine, and P. J. Flatau, "Application of fast-Fourier-transform techniques to the discrete-dipole approximation," Opt. Lett. 16, 1198-1200 (1991).

[CrossRef]
[PubMed]

B. T. Draine and P. J. Flatau, "User guide for the discrete dipole approximation code DDSCAT 6.1," http://xxx.arxiv.org/abs/astro-ph/0409262 (2004).

M. Frigo and S. G. Johnson, "The design and implementation of FFTW3," Proc. IEEE 93, 216-231 (2005).

A. G. Hoekstra, M. D. Grimminck, and P. M. A. Sloot, "Large scale simulations of elastic light scattering by a fast discrete dipole approximation," Int. J. Mod. Phys. C 9, 87-102 (1998).

[CrossRef]

Y. L. Xu and B. A. S. Gustafson, "Comparison between multisphere light-scattering calculations: rigorous solution and discrete-dipole approximation," Astrophys. J. 513, 894-909 (1999).

[CrossRef]

M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578-2591 (2006).

[CrossRef]

M. A. Yurkin, K. A. Semyanov, P. A. Tarasov, A. V. Chernyshev, A. G. Hoekstra, and V. P. Maltsev, "Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and discrete dipole approximation," Appl. Opt. 44, 5249-5256 (2005).

[CrossRef]
[PubMed]

A. G. Hoekstra, M. D. Grimminck, and P. M. A. Sloot, "Large scale simulations of elastic light scattering by a fast discrete dipole approximation," Int. J. Mod. Phys. C 9, 87-102 (1998).

[CrossRef]

A. G. Hoekstra, J. Rahola, and P. M. A. Sloot, "Accuracy of internal fields in volume integral equation simulations of light scattering," Appl. Opt. 37, 8482-8497 (1998).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

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

C. L. Liu and A. J. Illingworth, "Reply to comment by Lemke, Okamoto and Quante on 'Error analysis of backscatter from discrete dipole approximation for different ice particle shapes'," Atmos. Res. 50, 1-2 (1999).

C. L. Liu and A. J. Illingworth, "Error analysis of backscatter from discrete dipole approximation for different ice particle shapes," Atmos. Res. 44, 231-241 (1997).

[CrossRef]

M. Frigo and S. G. Johnson, "The design and implementation of FFTW3," Proc. IEEE 93, 216-231 (2005).

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

H. Lemke, H. Okamoto, and M. Quante, "Comment on error analysis of backscatter from discrete dipole approximation for different ice particle shapes [Liu, C.-L., Illingworth, A. J., 1997, Atmos. Res. 44, 231-241]," Atmos. Res. 49, 189-197 (1998).

C. L. Liu and A. J. Illingworth, "Reply to comment by Lemke, Okamoto and Quante on 'Error analysis of backscatter from discrete dipole approximation for different ice particle shapes'," Atmos. Res. 50, 1-2 (1999).

C. L. Liu and A. J. Illingworth, "Error analysis of backscatter from discrete dipole approximation for different ice particle shapes," Atmos. Res. 44, 231-241 (1997).

[CrossRef]

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578-2591 (2006).

[CrossRef]

M. A. Yurkin, K. A. Semyanov, P. A. Tarasov, A. V. Chernyshev, A. G. Hoekstra, and V. P. Maltsev, "Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and discrete dipole approximation," Appl. Opt. 44, 5249-5256 (2005).

[CrossRef]
[PubMed]

N. B. Piller and O. J. F. Martin, "Increasing the performance of the coupled-dipole approximation: a spectral approach," IEEE Trans. Antennas Propag. 46, 1126-1137 (1998).

[CrossRef]

F. Rouleau and P. G. Martin, "A new method to calculate the extinction properties of irregularly shaped particles," Astrophys. J. 414, 803-814 (1993).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

H. Lemke, H. Okamoto, and M. Quante, "Comment on error analysis of backscatter from discrete dipole approximation for different ice particle shapes [Liu, C.-L., Illingworth, A. J., 1997, Atmos. Res. 44, 231-241]," Atmos. Res. 49, 189-197 (1998).

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

E. M. Purcell and C. R. Pennypacker, "Scattering and adsorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).

[CrossRef]

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).

E. M. Purcell and C. R. Pennypacker, "Scattering and adsorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).

[CrossRef]

H. Lemke, H. Okamoto, and M. Quante, "Comment on error analysis of backscatter from discrete dipole approximation for different ice particle shapes [Liu, C.-L., Illingworth, A. J., 1997, Atmos. Res. 44, 231-241]," Atmos. Res. 49, 189-197 (1998).

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004).

[CrossRef]

J. Rahola, "On the eigenvalues of the volume integral operator of electromagnetic scattering," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 21, 1740-1754 (2000).

[CrossRef]

A. G. Hoekstra, J. Rahola, and P. M. A. Sloot, "Accuracy of internal fields in volume integral equation simulations of light scattering," Appl. Opt. 37, 8482-8497 (1998).

[CrossRef]

J. Rahola, "Solution of dense systems of linear equations in the discrete-dipole approximation," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 17, 78-89 (1996).

[CrossRef]

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

F. Rouleau and P. G. Martin, "A new method to calculate the extinction properties of irregularly shaped particles," Astrophys. J. 414, 803-814 (1993).

[CrossRef]

P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004).

[CrossRef]

A. G. Hoekstra, M. D. Grimminck, and P. M. A. Sloot, "Large scale simulations of elastic light scattering by a fast discrete dipole approximation," Int. J. Mod. Phys. C 9, 87-102 (1998).

[CrossRef]

A. G. Hoekstra, J. Rahola, and P. M. A. Sloot, "Accuracy of internal fields in volume integral equation simulations of light scattering," Appl. Opt. 37, 8482-8497 (1998).

[CrossRef]

K. F. Evans and G. L. Stephens, "Microwave radiative transfer through clouds composed of realistically shaped ice crystals. Part 1. Single scattering properties," J. Atmos. Sci. 52, 2041-2057 (1995).

[CrossRef]

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).

Y. L. Xu and B. A. S. Gustafson, "Comparison between multisphere light-scattering calculations: rigorous solution and discrete-dipole approximation," Astrophys. J. 513, 894-909 (1999).

[CrossRef]

M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578-2591 (2006).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

M. A. Yurkin, K. A. Semyanov, P. A. Tarasov, A. V. Chernyshev, A. G. Hoekstra, and V. P. Maltsev, "Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and discrete dipole approximation," Appl. Opt. 44, 5249-5256 (2005).

[CrossRef]
[PubMed]

J. I. Hage, J. M. Greenberg, and R. T. Wang, "Scattering from arbitrarily shaped particles—theory and experiment," Appl. Opt. 30, 1141-1152 (1991).

[CrossRef]
[PubMed]

A. G. Hoekstra, J. Rahola, and P. M. A. Sloot, "Accuracy of internal fields in volume integral equation simulations of light scattering," Appl. Opt. 37, 8482-8497 (1998).

[CrossRef]

M. A. Yurkin, K. A. Semyanov, P. A. Tarasov, A. V. Chernyshev, A. G. Hoekstra, and V. P. Maltsev, "Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and discrete dipole approximation," Appl. Opt. 44, 5249-5256 (2005).

[CrossRef]
[PubMed]

B. T. Draine and J. J. Goodman, "Beyond Clausius-Mossotti—wave propagation on a polarizable point lattice and the discrete dipole approximation," Astrophys. J. 405, 685-697 (1993).

[CrossRef]

Y. L. Xu and B. A. S. Gustafson, "Comparison between multisphere light-scattering calculations: rigorous solution and discrete-dipole approximation," Astrophys. J. 513, 894-909 (1999).

[CrossRef]

F. Rouleau and P. G. Martin, "A new method to calculate the extinction properties of irregularly shaped particles," Astrophys. J. 414, 803-814 (1993).

[CrossRef]

B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).

[CrossRef]

E. M. Purcell and C. R. Pennypacker, "Scattering and adsorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).

[CrossRef]

C. L. Liu and A. J. Illingworth, "Error analysis of backscatter from discrete dipole approximation for different ice particle shapes," Atmos. Res. 44, 231-241 (1997).

[CrossRef]

H. Lemke, H. Okamoto, and M. Quante, "Comment on error analysis of backscatter from discrete dipole approximation for different ice particle shapes [Liu, C.-L., Illingworth, A. J., 1997, Atmos. Res. 44, 231-241]," Atmos. Res. 49, 189-197 (1998).

C. L. Liu and A. J. Illingworth, "Reply to comment by Lemke, Okamoto and Quante on 'Error analysis of backscatter from discrete dipole approximation for different ice particle shapes'," Atmos. Res. 50, 1-2 (1999).

H. Okamoto, A. Macke, M. Quante, and E. Raschke, "Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94GHz. An error analysis," Contrib. Atmos. Phys. 68, 319-334 (1995).

N. B. Piller and O. J. F. Martin, "Increasing the performance of the coupled-dipole approximation: a spectral approach," IEEE Trans. Antennas Propag. 46, 1126-1137 (1998).

[CrossRef]

A. G. Hoekstra, M. D. Grimminck, and P. M. A. Sloot, "Large scale simulations of elastic light scattering by a fast discrete dipole approximation," Int. J. Mod. Phys. C 9, 87-102 (1998).

[CrossRef]

K. F. Evans and G. L. Stephens, "Microwave radiative transfer through clouds composed of realistically shaped ice crystals. Part 1. Single scattering properties," J. Atmos. Sci. 52, 2041-2057 (1995).

[CrossRef]

M. J. Collinge and B. T. Draine, "Discrete-dipole approximation with polarizabilities that account for both finite wavelength and target geometry," J. Opt. Soc. Am. A 21, 2023-2028 (2004).

[CrossRef]

B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994).

[CrossRef]

M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578-2591 (2006).

[CrossRef]

M. Min, J. W. Hovenier, A. Dominik, A. de Koter, and M. A. Yurkin, "Absorption and scattering properties of arbitrary shaped particles in the Rayleigh domain: a rapid computational method and a theoretical foundation for the statistical approach," J. Quant. Spectrosc. Radiat. Transf. 97, 161-180 (2006).

[CrossRef]

N. B. Piller, "Coupled-dipole approximation for high permittivity materials," Opt. Commun. 160, 10-14 (1999).

[CrossRef]

J. J. Goodman, B. T. Draine, and P. J. Flatau, "Application of fast-Fourier-transform techniques to the discrete-dipole approximation," Opt. Lett. 16, 1198-1200 (1991).

[CrossRef]
[PubMed]

N. B. Piller, "Influence of the edge meshes on the accuracy of the coupled-dipole approximation," Opt. Lett. 22, 1674-1676 (1997).

[CrossRef]

P. J. Flatau, "Improvements in the discrete-dipole approximation method of computing scattering and absorption," Opt. Lett. 22, 1205-1207 (1997).

[CrossRef]
[PubMed]

P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004).

[CrossRef]

J. Rahola, "Solution of dense systems of linear equations in the discrete-dipole approximation," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 17, 78-89 (1996).

[CrossRef]

J. Rahola, "On the eigenvalues of the volume integral operator of electromagnetic scattering," SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 21, 1740-1754 (2000).

[CrossRef]

M. Frigo and S. G. Johnson, "The design and implementation of FFTW3," Proc. IEEE 93, 216-231 (2005).

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

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).

"Amsterdam DDA," http://www.science.uva.nl/research/scs/software/adda.

"Description of the national computer cluster Lisa," http://www.sara.nl/userinfo/lisa/description/index.html (2005).

B. T. Draine, "The discrete dipole approximation for light scattering by irregular targets," in Light Scattering by Nonspherical Particles, Theory, Measurements, and Applications, M.I.Mishchenko, J.W.Hovenier, and L.D.Travis, eds. (Academic, 2000), pp. 131-145.

B. T. Draine and P. J. Flatau, "User guide for the discrete dipole approximation code DDSCAT 6.1," http://xxx.arxiv.org/abs/astro-ph/0409262 (2004).