Optical trapping of nonspherical particles in the T-matrix formalism: erratum

Ferdinando Borghese; Paolo Denti; Rosalba Saija; Maria Antonia Iatì

doi:10.1364/OE.15.014618

Abstract

An erratum is presented to correct the errors in two equations in Sect. 2 of [Opt. Express 15, 11984-11998 (2007)].

In Eqs. (10) and (11) of Ref. [1] two factors are missing. Moreover, in Eq. (11) r̂′ should be changed into Y _1μ(r̂′). The correct equations read

I_{ζ lml′ m′}^{(pp′)} = \int_{Ω′} (\hat{r′} ∙ {\hat{v}}_{ζ}) i^{p - p′} Z_{lm}^{(p) *} (\hat{r′}) ∙ Z_{l′ m′}^{(p')} (\hat{r′}) d Ω′ = \frac{4 π}{3} \sum_{μ} Y_{1 μ}^{*} ({\hat{v}}_{ζ}) \frac{i^{l′ - l}}{16 π^{2}} K_{μ; lml′ m′,}^{(pp′)}

and

K_{μ; lml′ m′,}^{(pp′)} = 16 π^{2} i^{l - l′} \int_{Ω′} Y_{1 μ} (\hat{r′}) i^{p - p′} Z_{lm}^{(p) *} (\hat{r′}) ∙ Z_{l′ m′}^{(p)} (\hat{r′}) d Ω′ .

The factor 16π ² i ^l-l′ must be inserted in Eq. (11) to ensure that the integrals K ^(pp′) _{μ;lml′m′} are just those reported in Refs. [2, 3] and that their values are given by Eq. (12)of Ref [1]. This factor is compensated for by inserting its reciprocal in Eq. (10). In any case, all the calculations in Ref. [1] were performed by using the correct formulas reported above.

References and links

1. F. Borghese, P. Denti, R. Saija, and M. A. Iatì, “Optical trapping of nonspherical particles in the T-matrix formalism,” Opt. Express 15, 11984–11998 (2007). [CrossRef] [PubMed]

2. R. Saija, M. A. Iatì, A. Giusto, P. Denti, and F. Borghese, “Transverse components of the radiation force in the T-matrix formalism,” J. Quant. Spectrosc. Radiat. Transfer 94, 163–167 (2005). [CrossRef]

3. F. Borghese, P. Denti, and R. Saija, Scattering from model nonspherical particles, 2nd edition (Springer, Berlin, 2007)

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Equations (2)

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I_{ζ lml′ m′}^{(pp′)} = \int_{Ω′} (\hat{r′} ∙ {\hat{v}}_{ζ}) i^{p - p′} Z_{lm}^{(p) *} (\hat{r′}) ∙ Z_{l′ m′}^{(p')} (\hat{r′}) d Ω′ = \frac{4 π}{3} \sum_{μ} Y_{1 μ}^{*} ({\hat{v}}_{ζ}) \frac{i^{l′ - l}}{16 π^{2}} K_{μ; lml′ m′,}^{(pp′)}

K_{μ; lml′ m′,}^{(pp′)} = 16 π^{2} i^{l - l′} \int_{Ω′} Y_{1 μ} (\hat{r′}) i^{p - p′} Z_{lm}^{(p) *} (\hat{r′}) ∙ Z_{l′ m′}^{(p)} (\hat{r′}) d Ω′ .

Abstract

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Equations (2)

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