Abstract

We propose an original cylindrical interferometric out-of-focus imaging setup to realize the characterization of spherical droplets in a volume. The longitudinal position of the droplets is determined through the orientation of the fringes while the diameter of the droplets is obtained from the frequency of the fringes. The experiments agree with the simulations.

© 2012 Optical Society of America

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References

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2010

N. Verrier, C. Remacha, M. Brunel, D. Lebrun, and S. Coetmellec, Opt. Express 18, 7807 (2010).
[CrossRef]

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

2008

2006

2002

N. Damaschke, H. Nobach, and C. Tropea, Exp. Fluids 32, 143 (2002).
[CrossRef]

2000

Y. Pu and H. Meng, Exp. Fluids 29, 184 (2000).
[CrossRef]

1997

1995

1991

1987

1969

H. M. Nussenzveig, J. Math. Phys. 10, 82 (1969).
[CrossRef]

Albrecht, H. E.

H. E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer, 2003).

Angarita-Jaimes, N. C.

Bagini, V.

Borys, M.

H. E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer, 2003).

Boyle, R. D.

Bredif, M.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Brunel, M.

N. Verrier, C. Remacha, M. Brunel, D. Lebrun, and S. Coetmellec, Opt. Express 18, 7807 (2010).
[CrossRef]

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

Campbell, H. I.

Chen, S.

Cierpka, C.

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

Coetmellec, S.

Damaschke, N.

N. Damaschke, H. Nobach, and C. Tropea, Exp. Fluids 32, 143 (2002).
[CrossRef]

H. E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer, 2003).

Duval, G.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Glover, A. R.

Greenaway, A. H.

Grehan, G.

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

Hain, R.

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

Hanrahan, P.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Hanson, S. G.

Horowitz, M.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Kahler, C. J.

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

Lebrun, D.

Lemaitre, P.

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

Levoy, M.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Lin, D.

Lindken, R.

R. Lindken, J. Westerweel, and B. Wieneke, Exp. Fluids 41, 161 (2006).
[CrossRef]

Meng, H.

Y. Pu and H. Meng, Exp. Fluids 29, 184 (2000).
[CrossRef]

Ng, R.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

Nobach, H.

N. Damaschke, H. Nobach, and C. Tropea, Exp. Fluids 32, 143 (2002).
[CrossRef]

Nussenzveig, H. M.

H. M. Nussenzveig, J. Math. Phys. 10, 82 (1969).
[CrossRef]

Palma, C.

Porcheron, E.

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

Pu, Y.

Y. Pu and H. Meng, Exp. Fluids 29, 184 (2000).
[CrossRef]

Querel, A.

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

Remacha, C.

Segura, R.

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

Skippon, S. M.

Towers, C. E.

Towers, D. P.

Tropea, C.

N. Damaschke, H. Nobach, and C. Tropea, Exp. Fluids 32, 143 (2002).
[CrossRef]

H. E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer, 2003).

van de Hulst, H. C.

Verrier, N.

Wang, R. T.

Westerweel, J.

R. Lindken, J. Westerweel, and B. Wieneke, Exp. Fluids 41, 161 (2006).
[CrossRef]

Wieneke, B.

R. Lindken, J. Westerweel, and B. Wieneke, Exp. Fluids 41, 161 (2006).
[CrossRef]

Yura, H. T.

Zhang, S.

Appl. Opt.

Exp. Fluids

N. Damaschke, H. Nobach, and C. Tropea, Exp. Fluids 32, 143 (2002).
[CrossRef]

R. Lindken, J. Westerweel, and B. Wieneke, Exp. Fluids 41, 161 (2006).
[CrossRef]

Y. Pu and H. Meng, Exp. Fluids 29, 184 (2000).
[CrossRef]

J. Math. Phys.

H. M. Nussenzveig, J. Math. Phys. 10, 82 (1969).
[CrossRef]

J. Opt. Soc. Am. A

Meas. Sci. Technol.

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Grehan, Meas. Sci. Technol. 21, 015306 (2010).
[CrossRef]

C. Cierpka, R. Segura, R. Hain, and C. J. Kahler, Meas. Sci. Technol. 21, 045401 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

Other

H. E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer, 2003).

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, Stanford University Computer Science Tech Report CSTR 2005-02 (2005).

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Figures (5)

Fig. 1.
Fig. 1.

Two glare points of a water droplet.

Fig. 2.
Fig. 2.

Cylindrical ILIDS configuration.

Fig. 3.
Fig. 3.

Rotation of the fringes in cylindrical geometry.

Fig. 4.
Fig. 4.

Experimental ILIDS interferogram.

Fig. 5.
Fig. 5.

Theoretical ILIDS interferogram.

Equations (5)

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

|ab|=d2(cos(Θ/2)+msin(Θ/2)m2+12mcos(Θ/2)),
G1(x,y,)=ei2πλ(n)iλBtotxBtoty(a1eiθa+a2eiθb+iφ),
θq=πλ[Atotxqx22qxx+Dtotxx2Btotx]+πλ[Atotyqy22qyy+Dtotyy2Btoty],
(2πλab2Btotx;2πλab2Btoty).
Fi=|ab|2λ(1Btot,ix)2+(1Btot,iy)2,

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