Abstract

Derived from the light scattering by a radially anisotropic sphere, unusual scattering behavior is exhibited, which breaks the Rayleigh law (scattering efficiency Qscaq4 as q0, where q is the size parameter). Under certain conditions, we demonstrate an asymptotical relation between Qsca and q, i.e., Qsca=Fq8, which is not realizable for isotropic particles in Rayleigh regime. Moreover, suitable adjustment of the anisotropic parameters can further suppress the coefficient F, resulting in enhanced transparency of the anisotropic particle.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Lord Rayleigh, Philos. Mag. 41, 107 (1871).
  2. G. Mie, Ann. Phys. 25, 377 (1908).
    [CrossRef]
  3. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1998).
  4. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th (expanded) ed. (Cambridge, 1999).
  5. M. I. Tribelsky and B. S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006).
    [CrossRef]
  6. M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
    [CrossRef]
  7. A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
    [CrossRef]
  8. V. B. Il’in and V. G. Farafonov, Opt. Lett. 36, 4080 (2011).
    [CrossRef]
  9. M. C. K. Wiltshire, Science 292, 60 (2001).
    [CrossRef]
  10. R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
    [CrossRef]
  11. Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
    [CrossRef]
  12. A. E. Miroshnichenko, Phys. Rev. A 80, 013808 (2009).
    [CrossRef]
  13. B. S. Luk’yanchuk and C. W. Qiu, Appl. Phys. A 92, 773 (2008).
    [CrossRef]
  14. L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
    [CrossRef]
  15. C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
    [CrossRef]
  16. X. F. Fan, Z. X. Shen, and B. Luk’yanchuk, Opt. Express 18, 24868 (2010).
    [CrossRef]
  17. Z. J. Li, Z. S. Wu, and Q. C. Shang, Opt. Express 19, 16044 (2011).
    [CrossRef]
  18. Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
    [CrossRef]
  19. H. Chew and M. Kerker, J. Opt. Soc. Am. 66, 445 (1976).
    [CrossRef]

2011 (3)

2010 (3)

A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
[CrossRef]

X. F. Fan, Z. X. Shen, and B. Luk’yanchuk, Opt. Express 18, 24868 (2010).
[CrossRef]

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

2009 (1)

A. E. Miroshnichenko, Phys. Rev. A 80, 013808 (2009).
[CrossRef]

2008 (3)

B. S. Luk’yanchuk and C. W. Qiu, Appl. Phys. A 92, 773 (2008).
[CrossRef]

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

2006 (1)

M. I. Tribelsky and B. S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006).
[CrossRef]

2004 (1)

Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
[CrossRef]

2001 (2)

M. C. K. Wiltshire, Science 292, 60 (2001).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef]

1976 (1)

1908 (1)

G. Mie, Ann. Phys. 25, 377 (1908).
[CrossRef]

1871 (1)

Lord Rayleigh, Philos. Mag. 41, 107 (1871).

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1998).

Born, M.

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th (expanded) ed. (Cambridge, 1999).

Chew, H.

Chui, S. T.

Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
[CrossRef]

Fan, X. F.

Farafonov, V. G.

Flach, S.

A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
[CrossRef]

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

Fung, T. H.

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

Gao, D. L.

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

Gao, L.

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

Gorbach, A. V.

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1998).

Il’in, V. B.

Joannopoulos, J. D.

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

Kerker, M.

Kivshar, Y. S.

A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
[CrossRef]

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

Li, Z. J.

Lin, Z. F.

Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
[CrossRef]

Liu, Z.

Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
[CrossRef]

Luk’yanchuk, B.

Luk’yanchuk, B. S.

B. S. Luk’yanchuk and C. W. Qiu, Appl. Phys. A 92, 773 (2008).
[CrossRef]

M. I. Tribelsky and B. S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006).
[CrossRef]

Mie, G.

G. Mie, Ann. Phys. 25, 377 (1908).
[CrossRef]

Miroshnichenko, A. E.

A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
[CrossRef]

A. E. Miroshnichenko, Phys. Rev. A 80, 013808 (2009).
[CrossRef]

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

Ni, Y. X.

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

Qiu, C. W.

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

B. S. Luk’yanchuk and C. W. Qiu, Appl. Phys. A 92, 773 (2008).
[CrossRef]

Rayleigh, Lord

Lord Rayleigh, Philos. Mag. 41, 107 (1871).

Sang, Z. F.

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef]

Shang, Q. C.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef]

Shen, Z. X.

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef]

Soljacic, M.

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

Tribelsky, M. I.

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

M. I. Tribelsky and B. S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006).
[CrossRef]

Wiltshire, M. C. K.

M. C. K. Wiltshire, Science 292, 60 (2001).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th (expanded) ed. (Cambridge, 1999).

Wu, Z. S.

Yu, K. W.

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

Ann. Phys. (1)

G. Mie, Ann. Phys. 25, 377 (1908).
[CrossRef]

Appl. Phys. A (2)

B. S. Luk’yanchuk and C. W. Qiu, Appl. Phys. A 92, 773 (2008).
[CrossRef]

Y. X. Ni, D. L. Gao, Z. F. Sang, L. Gao, and C. W. Qiu, Appl. Phys. A 102, 673 (2011).
[CrossRef]

J. Opt. Soc. Am. (1)

Laser Photon. Rev. (1)

C. W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, Laser Photon. Rev. 4, 268 (2010).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Philos. Mag. (1)

Lord Rayleigh, Philos. Mag. 41, 107 (1871).

Phys. Rev. A (1)

A. E. Miroshnichenko, Phys. Rev. A 80, 013808 (2009).
[CrossRef]

Phys. Rev. E (2)

L. Gao, T. H. Fung, K. W. Yu, and C. W. Qiu, Phys. Rev. E 78, 046609 (2008).
[CrossRef]

Z. Liu, Z. F. Lin, and S. T. Chui, Phys. Rev. E 69, 016609 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

M. I. Tribelsky and B. S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006).
[CrossRef]

M. I. Tribelsky, S. Flach, A. E. Miroshnichenko, A. V. Gorbach, and Y. S. Kivshar, Phys. Rev. Lett. 100, 043903 (2008).
[CrossRef]

Rev. Mod. Phys. (1)

A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).
[CrossRef]

Science (2)

M. C. K. Wiltshire, Science 292, 60 (2001).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef]

Other (2)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1998).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th (expanded) ed. (Cambridge, 1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Log-log plot of the scattering efficiency against the size parameters. The lines are calculated via full-wave electromagnetic theory. The magenta star is calculated with Eq. (6).

Fig. 2.
Fig. 2.

Qsca versus q and F versus εt (the inset) for μt=3 and μr=1/5.

Fig. 3.
Fig. 3.

Contour plot of electric field enhancement |E/E0| in the x/az/a plane for μt=μr=1, q=0.002. Other parameters are: (a) εt=3, εr=1/5; (b) εt=3, εr=2. Note that the area outside the sphere includes the scattering field only.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

an=εtψn(q)ψνn(mq)μtψn(q)ψνn(mq)εtξn(q)ψνn(mq)μtξn(q)ψνn(mq),
Qsca=2q2n=1(2n+1)(|an|2+|bn|2).
a1=i(2C1εtD1μt)3(C1εt+D1μt)q3+i(4C1+20C2)εti(D1+10D2)μt30(C1εt+D1μt)q5,
a1=i45(15μt4εt+1)q5.
a2=i453εt(6εt(2εt1)+1/4+1/2)2εt+(6εt(2εt1)+1/4+1/2)q5.
Qsca2q8675[(15μt4εt+1)2+(15εt4μt+1)2]+2q8405g=εμ(6gt24gt(2gt1)+114gt+24gt(2gt1)+1+1)2.

Metrics