Abstract

Using the classical Mie scattering theory, we compute the energy density of an arbitrary partial wave (e.g., the nth order) and then determine that the interaction between an incident planar wave and a sphere of radius a is the one between the sphere and those partial waves the order of which satisfies n 6 ka. We also provide a simple expression to describe the diffracted wave in which the angle-dependent functions are employed. The difference between the accurate and the approximate expressions is demonstrated by numerical calculation.

© 2013 Chinese Optics Letters

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  17. H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).
  18. H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

2011 (2)

2010 (1)

2009 (1)

H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

2008 (1)

H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).

2005 (1)

J. Shen and X. Cai, PIERS Online 1, 691 (2005).

1998 (1)

P. Yang and K. N. Liou, Contr. Atmos. Phys. 71, 223 (1998).

1992 (1)

1991 (1)

H. M. Nussenzveig and W. J. Wiscombe, Phys. Rev. A 43, 2093 (1991).

1988 (1)

H. M. Nussenzveig, J. Phys. A 21, 81 (1988).

1987 (1)

1980 (1)

Bott, A.

Cai, X.

J. Shen and X. Cai, PIERS Online 1, 691 (2005).

Guo, W.

Hovenac, E. A.

Laven, P.

Liou, K. N.

P. Yang and K. N. Liou, Contr. Atmos. Phys. 71, 223 (1998).

Lock, J. A.

Nussenzveig, H. M.

H. M. Nussenzveig and W. J. Wiscombe, Phys. Rev. A 43, 2093 (1991).

H. M. Nussenzveig, J. Phys. A 21, 81 (1988).

Ruppin, R.

R. Ruppin, J. Opt. 13, 095101 (2011).

Shen, J.

H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).

J. Shen and X. Cai, PIERS Online 1, 691 (2005).

Wei, Y.

H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).

Wiscombe, W. J.

H. M. Nussenzveig and W. J. Wiscombe, Phys. Rev. A 43, 2093 (1991).

W. J. Wiscombe, Appl. Opt. 19, 1505 (1980).

Yang, P.

P. Yang and K. N. Liou, Contr. Atmos. Phys. 71, 223 (1998).

Yu, H.

H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).

Zdunkowski, W.

Appl. Opt. (1)

Contr. Atmos. Phys. (1)

P. Yang and K. N. Liou, Contr. Atmos. Phys. 71, 223 (1998).

J. Opt. (1)

R. Ruppin, J. Opt. 13, 095101 (2011).

J. Opt. Soc. Am. A (4)

J. Phys. A (1)

H. M. Nussenzveig, J. Phys. A 21, 81 (1988).

J. Quantum Spectum Rad. Tran. (1)

H. Yu, J. Shen, and Y. Wei, J. Quantum Spectum Rad. Tran. 110, 1178 (2009).

Particuology (1)

H. Yu, J. Shen, and Y. Wei, Particuology 6, 340 (2008).

Phys. Rev. A (1)

H. M. Nussenzveig and W. J. Wiscombe, Phys. Rev. A 43, 2093 (1991).

PIERS Online (1)

J. Shen and X. Cai, PIERS Online 1, 691 (2005).

Other (6)

Frank W. J. Olver, Asymptotics and Special Functions (Academic, New York, 1974).

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics (Wiley, New York, 2005).

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 2005).

H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge University Press, Cambridge, 1992).

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

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