Abstract

This Addendum provides a revised set of figures containing converged numerical data for total scattering cross section (TSCS), replacing the figures in our recent publication [Opt. Lett. 29, 1393 (2004)]. Due to the use of an overly large time step, our original TSCS data exhibited a systematic, nonphysical diminution above 150 THz for all cases studied. We have determined that numerical convergence in the temporal sense for the pseudospectral time-domain (PSTD) algorithm employed previously requires limiting the time step to no more than 1/60th of the sinusoidal period at the maximum frequency of interest, which in the previous case was 300 THz. This is an important point that we hereby report to future users of PSTD simulations in electrodynamics and optics. Note that all our original conclusions remain valid.

© 2005 Optical Society of America

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References

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  1. S. H. Tseng, J. H. Greene, V. Backman, D. Maitland, and J. T. Walsh, Opt. Lett. 29, 1393 (2004).
    [Crossref] [PubMed]
  2. Q. H. Liu, in Proceedings of the 1997 IEEE Antennas and Propagation Society International Symposium, Vol. 1 (Institute of Electrical and Electronics Engineers, New York, 1997), pp. 122–125.
    [Crossref]
  3. A. Taflove and S. C. Hagness, Computational Electrodynamics:?the Finite-Difference Time-Domain Method (Artech House, Norwood, Mass., 2000), p. 852.

2004 (1)

Backman, V.

Greene, J. H.

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics:?the Finite-Difference Time-Domain Method (Artech House, Norwood, Mass., 2000), p. 852.

Liu, Q. H.

Q. H. Liu, in Proceedings of the 1997 IEEE Antennas and Propagation Society International Symposium, Vol. 1 (Institute of Electrical and Electronics Engineers, New York, 1997), pp. 122–125.
[Crossref]

Maitland, D.

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics:?the Finite-Difference Time-Domain Method (Artech House, Norwood, Mass., 2000), p. 852.

Tseng, S. H.

Walsh, J. T.

Opt. Lett. (1)

Other (2)

Q. H. Liu, in Proceedings of the 1997 IEEE Antennas and Propagation Society International Symposium, Vol. 1 (Institute of Electrical and Electronics Engineers, New York, 1997), pp. 122–125.
[Crossref]

A. Taflove and S. C. Hagness, Computational Electrodynamics:?the Finite-Difference Time-Domain Method (Artech House, Norwood, Mass., 2000), p. 852.

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Figures (4)

Fig. 1
Fig. 1

PSTD-computed TSCS of a 160µm overall-diameter cylindrical bundle of 34 randomly positioned, noncontacting, n=1.2 dielectric cylinders of individual diameter d. Four cases are shown (d=5,10,15,20 µm) with the position of each cylinder fixed. As d exceeds approximately 10 µm, the TSCS above 60 THz saturates.

Fig. 2
Fig. 2

PSTD-computed TSCS of a 160µm overall-diameter cylindrical bundle of N randomly positioned, noncontacting, n=1.2 dielectric cylinders of fixed individual diameter d=5 µm. Five cases are shown (N=80,200,320,400,480). As N exceeds approximately 200, the TSCS above 60 THz saturates at the level indicated in Fig. 1.

Fig. 3
Fig. 3

PSTD-computed TSCS of a 160µm overall-diameter cylindrical bundle of N randomly positioned, noncontacting, n=1.2 dielectric cylinders of fixed individual diameter d=10 µm. Five cases are shown (N=20,50,80,100,120). As N exceeds approximately 50, the TSCS above 60 THz saturates at the same level as in Figs. 1 and 2.

Fig. 4
Fig. 4

PSTD-computed TSCS of (a) 160µm overall-diameter cylindrical bundle of 120 randomly positioned, noncontacting, n=1.2 dielectric cylinders of individual diameter d=10 µm; (b) same as in (a) but for 480 cylinders of individual diameter d=5 µm; and (c) single cylinder of refractive index n=1.0938, the average refractive index for cases (a) and (b).

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