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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 4 — Feb. 15, 2010
  • pp: 3456–3457
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Three-dimensional harmonic holographic microcopy using nanoparticles as probes for cell imaging: erratum

Chia-Lung Hsieh, Rachel Grange, Ye Pu, and Demetri Psaltis  »View Author Affiliations


Optics Express, Vol. 18, Issue 4, pp. 3456-3457 (2010)
http://dx.doi.org/10.1364/OE.18.003456


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Abstract

An error was made in calculating the polarization dependent second harmonic response of barium titanate nanoparticles. We have corrected the error and repeated the comparison with the experimental results.

© 2010 Optical Society of America

In the article [1

1. C.-L. Hsieh, R. Grange, Y. Pu, and D. Psaltis, “Three-dimensional harmonic holographic microcopy using nanoparticles as probes for cell imaging,” Opt. Express 17(4), 2880–2891 (2009). [CrossRef] [PubMed]

] we calculated the polarization dependent second harmonic generation (SHG) response of a single 90-nm barium titanate (BaTiO3) nanoparticle based on Eq. (3) and (4). The Eq. (3) is actually

P(2ω)=χ(2)E1(ω)E1(ω)=[d11d12d13d14d15d16d21d22d23d24d25d26d31d32d33d34d35d36][Ex(ω)2Ey(ω)2Ez(ω)22Ey(ω)Ez(ω)2Ex(ω)Ez(ω)2Ex(ω)Ey(ω)].

We have recently discovered that the factors of 2 in the calculation of Eq. (3) were missing. We corrected the mistake and plotted the normalized polarization dependent SHG responses of BaTiO3 nanoparticles at different orientations in Fig. 1 (a). The corresponding estimated SHG cross section of a 90-nm BaTiO3 particle is 465 – 4,820 GM. It should be noted that Fig. 1 (a) shows the total SHG power radiated by the three dipole moment components, and the radiation pattern is not uniform in space. To consider the non-uniform SHG radiation pattern, we use a simplified model: assuming the SHG power radiated by the axial (Z-axis) dipole moment is hardly collected. By excluding the contribution of the axial dipole moment, the theoretical calculation of the SHG polar response is plotted in Fig. 1 (b). The experimental result matches with the theoretical calculation when θ = 20 degree. With this simplified model on the collection efficiency, we calibrated the measured SHG cross section as 23,910-29,510 GM. The greater measured SHG cross section suggests the object under the measurement was either a particle of 125-nm diameter or a cluster of two properly aligned nanoparticles of equivalent volume.

Fig. 1. Polarization dependent SHG response of an isolated BaTiO3 nanoparticle. (a) Theoretical calculation of the normalized SHG polar response from a nanoparticle of various orientations. (b) Line: theoretical calculation of the normalized SHG polar response contributed from the transversal nonlinear polarizations of a nanoparticle of various orientations. Dots: experimental data. The black arrows in the polar diagrams indicate the projection of the c-axis of the nanoparticle on the XY plane.

References and links

1.

C.-L. Hsieh, R. Grange, Y. Pu, and D. Psaltis, “Three-dimensional harmonic holographic microcopy using nanoparticles as probes for cell imaging,” Opt. Express 17(4), 2880–2891 (2009). [CrossRef] [PubMed]

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(170.6900) Medical optics and biotechnology : Three-dimensional microscopy
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
(090.1995) Holography : Digital holography
(160.4236) Materials : Nanomaterials

ToC Category:
Holography

History
Original Manuscript: January 28, 2010
Published: February 2, 2010

Virtual Issues
Vol. 5, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Chia-Lung Hsieh, Rachel Grange, Ye Pu, and Demetri Psaltis, "Three-dimensional harmonic holographic microcopy using nanoparticles as probes for cell imaging: erratum," Opt. Express 18, 3456-3457 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-4-3456


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