Abstract

The light scattering properties of a horizontally and vertically oriented spheroidal particle under laser illumination are experimentally investigated using digital in‐line holography. The reconstructed wave field shows the bright singular points as a result of the condensed beam formed by a transparent spheroidal particle acting as a lens. The in‐plane (θ) and out‐of‐plane (ϕ) rotating angles of an arbitrarily oriented spheroidal particle are measured by using these scattering properties. As a feasibility test, the 3D orientation of a transparent spheroidal particle suspended in a microscale pipe flow is successfully reconstructed by adapting the proposed method.

© 2014 Optical Society of America

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2011 (2)

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Y. S. Choi and S. J. Lee, Opt. Lett. 36, 4167 (2011).
[CrossRef]

2010 (1)

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

2009 (2)

2006 (4)

2004 (1)

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

2003 (3)

2002 (1)

2001 (1)

1988 (1)

1983 (1)

1982 (1)

S. R. Keller and R. Skalak, J. Fluid Mech. 120, 27 (1982).
[CrossRef]

1980 (1)

1975 (1)

1922 (1)

G. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1922).
[CrossRef]

Asano, S.

Asundi, A. K.

Babenko, V. A.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Cai, X. S.

Champion, J. A.

J. A. Champion and S. Mitragotri, Proc. Natl. Acad. Sci. USA 103, 4930 (2006).
[CrossRef]

Choi, Y. S.

Y. S. Choi and S. J. Lee, Opt. Lett. 36, 4167 (2011).
[CrossRef]

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Y. S. Choi and S. J. Lee, Appl. Opt. 48, 2983 (2009).
[CrossRef]

Chu, B.

B. Chu, Laser Light Scattering (Academic, 1974).

Darakis, E.

Garcia-Sucerquia, J.

Gouesbet, G.

Gréhan, G.

Han, Y. P.

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Jeffery, G. B.

G. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1922).
[CrossRef]

Jericho, M. H.

Jericho, S. K.

Kariwala, V.

Katz, J.

Keller, S. R.

S. R. Keller and R. Skalak, J. Fluid Mech. 120, 27 (1982).
[CrossRef]

Kempkes, M.

Khanam, T.

Khlebtsov, N. G.

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

Klages, P.

Kreuzer, H. J.

Lee, S. J.

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Y. S. Choi and S. J. Lee, Opt. Lett. 36, 4167 (2011).
[CrossRef]

Y. S. Choi and S. J. Lee, Appl. Opt. 48, 2983 (2009).
[CrossRef]

Luo, L. S.

D. W. Qi and L. S. Luo, J. Fluid Mech. 477, 201 (2003).
[CrossRef]

Maheu, B.

Malkiel, E.

Mazzotti, M.

Meinertzhagen, I. A.

Meng, H.

Mishchenko, M. I.

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

Mitragotri, S.

J. A. Champion and S. Mitragotri, Proc. Natl. Acad. Sci. USA 103, 4930 (2006).
[CrossRef]

Naughton, T. J.

Pan, G.

Qi, D. W.

D. W. Qi and L. S. Luo, J. Fluid Mech. 477, 201 (2003).
[CrossRef]

Rajendran, A.

Ren, K. F.

Sato, M.

Seo, K. W.

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Shen, J. Q.

Sheng, J.

Skalak, R.

S. R. Keller and R. Skalak, J. Fluid Mech. 120, 27 (1982).
[CrossRef]

Sohn, M. H.

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Videen, G.

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

Wriedt, T.

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

Wu, Z. S.

Xu, F.

Xu, W.

Xu, W. B.

Yamamoto, G.

Zakharova, N. T.

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

Appl. Opt. (10)

J. Fluid Mech. (2)

S. R. Keller and R. Skalak, J. Fluid Mech. 120, 27 (1982).
[CrossRef]

D. W. Qi and L. S. Luo, J. Fluid Mech. 477, 201 (2003).
[CrossRef]

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

J. Quant. Spectrosc. Radiat. Transfer (2)

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 88, 357 (2004).
[CrossRef]

M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, J. Quant. Spectrosc. Radiat. Transfer 111, 650 (2010).
[CrossRef]

Meas. Sci. Technol. (1)

S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, Meas. Sci. Technol. 22, 064004 (2011).

Opt. Express (1)

Opt. Lett. (2)

Proc. Natl. Acad. Sci. USA (1)

J. A. Champion and S. Mitragotri, Proc. Natl. Acad. Sci. USA 103, 4930 (2006).
[CrossRef]

Proc. R. Soc. London, Ser. A (1)

G. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1922).
[CrossRef]

Other (2)

B. Chu, Laser Light Scattering (Academic, 1974).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

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Figures (5)

Fig. 1.
Fig. 1.

Coordinate system defining the orientation of the arbitrarily oriented spheroidal particle. θ and ϕ denote the in-plane and out-of-plane rotation angles, respectively.

Fig. 2.
Fig. 2.

(a) Schematic of the DIHM. (b) Holograms of the horizontally oriented spheroidal particle captured at the focal plane (z=0), z=15 and 70 μm. The scale bar represents 5 μm.

Fig. 3.
Fig. 3.

(a) Reconstructed intensity fields for the hologram of a horizontally oriented spheroidal particle. The red circles in the projection image represent the brightest spots. The scale bar denotes 10 μm. (b) Variations of light intensity along the major and minor axes of a horizontally oriented spheroidal particle in the direction of the optical axis.

Fig. 4.
Fig. 4.

(a) Reconstructed intensity fields for the hologram of a vertically oriented spheroidal particle. The scale bar denotes 10 μm. (b) Variation of light intensity along the center plane of the vertically oriented spheroidal particle in the direction of the optical axis.

Fig. 5.
Fig. 5.

(a) Consecutive holograms of the rotating spheroidal particle in a Poiseuille flow. (b) Singular points (red circles) showing the brightest spots induced by the condensed light appearing in the projection images (c) Reconstructed intensity images of a randomly oriented spheroidal particle near the focal plane. (d) 3D perspectives of the arbitrarily oriented spheroidal particle reconstructed from (c).

Equations (3)

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A(kx,ky;0)=E0(x0,y0,0)exp[i(kxx0+kyy0)]dx0dy0,
E(x,y,z)=I1{I{E0}exp[ikzz]},kz=k2kx2ky2,
I(m,n)=Re[E(x,y;z)]2+Im[E(x,y;z)]2.

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