Abstract

We present a new formulation of the coupled dipole method that accounts for local-field effects and is exact in the long-wavelength limit. This formulation also leads to improved accuracy of the description of light-scattering processes at finite frequencies.

© 2002 Optical Society of America

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References

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  1. E. M. Purcell and C. R. Pennypacker, Astrophys. J. 186, 705 (1973).
    [CrossRef]
  2. B. T. Draine, Astrophys. J. 333, 848 (1988).
    [CrossRef]
  3. B. T. Draine and J. Goodman, Astrophys. J. 405, 685 (1993).
    [CrossRef]
  4. B. T. Draine and P. J. Flatau, J. Opt. Soc. Am. A 11, 1491 (1994), and references therein.
    [CrossRef]
  5. A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
    [CrossRef]
  6. P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
    [CrossRef]
  7. A. Rahmani and G. W. Bryant, Phys. Rev. A 65, 033817 (2002).
    [CrossRef]
  8. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1980).
  9. A. D. Yaghjian, Proc. IEEE 68, 248 (1980).
    [CrossRef]
  10. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  11. P. C. Chaumet, A. Rahmani, and G. W. Bryant have prepared a manuscript called “Generalization of the coupled dipole method to periodic structures.”
  12. N. Kar and A. Bagchi, Solid State Commun. 31, 645 (1980).
    [CrossRef]
  13. W. L. Mochán and R. G. Barrera, Phys. Rev. Lett. 55, 1192 (1985).
    [CrossRef]
  14. G. P. M. Poppe and C. M. J. Wijers, Physica B 167, 221 (1990).
    [CrossRef]

2002 (2)

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

A. Rahmani and G. W. Bryant, Phys. Rev. A 65, 033817 (2002).
[CrossRef]

2001 (1)

A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
[CrossRef]

1994 (1)

1993 (1)

B. T. Draine and J. Goodman, Astrophys. J. 405, 685 (1993).
[CrossRef]

1990 (1)

G. P. M. Poppe and C. M. J. Wijers, Physica B 167, 221 (1990).
[CrossRef]

1988 (1)

B. T. Draine, Astrophys. J. 333, 848 (1988).
[CrossRef]

1985 (1)

W. L. Mochán and R. G. Barrera, Phys. Rev. Lett. 55, 1192 (1985).
[CrossRef]

1980 (2)

A. D. Yaghjian, Proc. IEEE 68, 248 (1980).
[CrossRef]

N. Kar and A. Bagchi, Solid State Commun. 31, 645 (1980).
[CrossRef]

1973 (1)

E. M. Purcell and C. R. Pennypacker, Astrophys. J. 186, 705 (1973).
[CrossRef]

Bagchi, A.

N. Kar and A. Bagchi, Solid State Commun. 31, 645 (1980).
[CrossRef]

Barrera, R. G.

W. L. Mochán and R. G. Barrera, Phys. Rev. Lett. 55, 1192 (1985).
[CrossRef]

Bryant, G. W.

A. Rahmani and G. W. Bryant, Phys. Rev. A 65, 033817 (2002).
[CrossRef]

P. C. Chaumet, A. Rahmani, and G. W. Bryant have prepared a manuscript called “Generalization of the coupled dipole method to periodic structures.”

Chaumet, P. C.

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
[CrossRef]

P. C. Chaumet, A. Rahmani, and G. W. Bryant have prepared a manuscript called “Generalization of the coupled dipole method to periodic structures.”

de Fornel, F.

A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
[CrossRef]

Draine, B. T.

B. T. Draine and P. J. Flatau, J. Opt. Soc. Am. A 11, 1491 (1994), and references therein.
[CrossRef]

B. T. Draine and J. Goodman, Astrophys. J. 405, 685 (1993).
[CrossRef]

B. T. Draine, Astrophys. J. 333, 848 (1988).
[CrossRef]

Flatau, P. J.

Goodman, J.

B. T. Draine and J. Goodman, Astrophys. J. 405, 685 (1993).
[CrossRef]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1980).

Kar, N.

N. Kar and A. Bagchi, Solid State Commun. 31, 645 (1980).
[CrossRef]

Mochán, W. L.

W. L. Mochán and R. G. Barrera, Phys. Rev. Lett. 55, 1192 (1985).
[CrossRef]

Nieto-Vesperinas, M.

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

Pennypacker, C. R.

E. M. Purcell and C. R. Pennypacker, Astrophys. J. 186, 705 (1973).
[CrossRef]

Poppe, G. P. M.

G. P. M. Poppe and C. M. J. Wijers, Physica B 167, 221 (1990).
[CrossRef]

Purcell, E. M.

E. M. Purcell and C. R. Pennypacker, Astrophys. J. 186, 705 (1973).
[CrossRef]

Rahmani, A.

A. Rahmani and G. W. Bryant, Phys. Rev. A 65, 033817 (2002).
[CrossRef]

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
[CrossRef]

P. C. Chaumet, A. Rahmani, and G. W. Bryant have prepared a manuscript called “Generalization of the coupled dipole method to periodic structures.”

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

Wijers, C. M. J.

G. P. M. Poppe and C. M. J. Wijers, Physica B 167, 221 (1990).
[CrossRef]

Yaghjian, A. D.

A. D. Yaghjian, Proc. IEEE 68, 248 (1980).
[CrossRef]

Astrophys. J. (3)

E. M. Purcell and C. R. Pennypacker, Astrophys. J. 186, 705 (1973).
[CrossRef]

B. T. Draine, Astrophys. J. 333, 848 (1988).
[CrossRef]

B. T. Draine and J. Goodman, Astrophys. J. 405, 685 (1993).
[CrossRef]

J. Opt. Soc. Am. A (1)

Phys. Rev. A (2)

A. Rahmani, P. C. Chaumet, and F. de Fornel, Phys. Rev. A 63, 023819 (2001).
[CrossRef]

A. Rahmani and G. W. Bryant, Phys. Rev. A 65, 033817 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

W. L. Mochán and R. G. Barrera, Phys. Rev. Lett. 55, 1192 (1985).
[CrossRef]

Physica B (1)

G. P. M. Poppe and C. M. J. Wijers, Physica B 167, 221 (1990).
[CrossRef]

Proc. IEEE (1)

A. D. Yaghjian, Proc. IEEE 68, 248 (1980).
[CrossRef]

Solid State Commun. (1)

N. Kar and A. Bagchi, Solid State Commun. 31, 645 (1980).
[CrossRef]

Other (3)

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

P. C. Chaumet, A. Rahmani, and G. W. Bryant have prepared a manuscript called “Generalization of the coupled dipole method to periodic structures.”

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1980).

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Figures (3)

Fig. 1
Fig. 1

Macroscopic field outside and inside a dielectric slab. The slab occupies the region 0z50 nm delimited by the vertical lines. The plane wave λ=400 nm is incident from the left of the figure. Angle θ=50°, permittivity of the slab =20 (see text for details).

Fig. 2
Fig. 2

Relative error of the field transmitted through a slab. Results for the x and the y components are plotted as a function of the number of discretization layers. The parameters of the calculation are =20, t=50 nm, θ=50°, and λ=600 nm.

Fig. 3
Fig. 3

Same as Fig. 2 but for an aluminum slab and parameters =-34.5+8.5i,t=50 nm,θ=50°, and λ=488 nm.

Equations (9)

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

Eiloc=Ei0+jiFijαjEjloc,
Eiloc=1+Lii-14πEim+jiFijαjEjloc,
Eiloc=ΛiEim.
Pi=αid3Eiloc,
=i-14πEim,
=i-14πΛi-1Eiloc,
αi=i-14πΛi-1d3.
Λi=Ci+jiFijj-14πd3Cj-1Ci,
Ci=1+i-14πLi.

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