Abstract

The particle scattering asymmetry parameter of an ensemble of submicrometer particles, as well as the complete scattering phase function (angular distribution), is determined by measuring the Doppler spectrum of the scattered light. No calibration is required. The monitor incorporates a 532 nm laser with long coherence length, an integrating sphere to collect the scattered light, and a heterodyne (interferometric) detection scheme. Measurements of monodisperse polystyrene latex spheres and polydisperse ammonium sulfate particles indicate that the measured value of the asymmetry parameter is generally within ±0.03 of that calculated using Mie theory.

© 2012 Optical Society of America

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References

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  1. J. Seinfeld and S. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (Wiley, 2006).
  2. S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis, K. B. Averyt, M. Tignor, and H. L. Miller, eds., IPCC, 2007: Climate Change 2007: The Physical Science Basis(Cambridge University, 2007).
  3. E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
    [CrossRef]
  4. W. H. Steel, Interferometry (Cambridge University, 1967).
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    [CrossRef]
  6. M. Tiuri, in Radio Astronomy, J. Kraus, ed. (McGraw-Hill, 1966) Chap. 7, pp. 236–293.
  7. P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
    [CrossRef]

2009

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

2006

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

1966

A. E. Siegman, Proc. IEEE 54, 1350 (1966).
[CrossRef]

Andrews, E.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Arnott, P.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Baynard, T.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

Brock, C. A.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

Collins, D.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Covert, D.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Elleman, R.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Fiebig, M.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Gasparini, R.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Jonsson, H.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Lack, D. A.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

Lovejoy, E. R.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

Massoli, P.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

McComiskey, A.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Murphy, D. M.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

Ogren, J.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Pandis, S.

J. Seinfeld and S. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (Wiley, 2006).

Schmid, B.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Seinfeld, J.

J. Seinfeld and S. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (Wiley, 2006).

Sheridan, P.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Proc. IEEE 54, 1350 (1966).
[CrossRef]

Steel, W. H.

W. H. Steel, Interferometry (Cambridge University, 1967).

Tiuri, M.

M. Tiuri, in Radio Astronomy, J. Kraus, ed. (McGraw-Hill, 1966) Chap. 7, pp. 236–293.

Wang, J.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Aerosol Sci. Technol.

P. Massoli, D. M. Murphy, D. A. Lack, T. Baynard, C. A. Brock, and E. R. Lovejoy, Aerosol Sci. Technol. 43, 1064 (2009).
[CrossRef]

J. Geophys. Res.

E. Andrews, P. Sheridan, M. Fiebig, A. McComiskey, J. Ogren, P. Arnott, D. Covert, R. Elleman, R. Gasparini, D. Collins, H. Jonsson, B. Schmid, and J. Wang, J. Geophys. Res. 111, D05S04 (2006).
[CrossRef]

Proc. IEEE

A. E. Siegman, Proc. IEEE 54, 1350 (1966).
[CrossRef]

Other

M. Tiuri, in Radio Astronomy, J. Kraus, ed. (McGraw-Hill, 1966) Chap. 7, pp. 236–293.

W. H. Steel, Interferometry (Cambridge University, 1967).

J. Seinfeld and S. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (Wiley, 2006).

S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis, K. B. Averyt, M. Tignor, and H. L. Miller, eds., IPCC, 2007: Climate Change 2007: The Physical Science Basis(Cambridge University, 2007).

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Figures (3)

Fig. 1.
Fig. 1.

Schematic of Doppler spectrum-based polar nephelometer.

Fig. 2.
Fig. 2.

Plot of asymmetry parameter versus particle diameter obtained for four sizes of polystyrene latex particles (n=1.59).

Fig. 3.
Fig. 3.

Scattering phase function (normalized to unit area) obtained from measured Doppler spectrum for a polydisperse distribution of ammonium sulfate particles (n=1.52).

Equations (5)

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

fD=(V/c)[1cos(ϑ)]fR,
S(ϑ)dϑ=I(ϑ)2πsin(ϑ)dϑ,
I(FD)=S(ϑ)(dϑ/dFD)=I(ϑ),
FD=fD[c/fRV]=1cos(ϑ).
g=0πI(θ)cos(θ)sin(θ)dθ0πI(θ)sin(θ)dθ=102FDI(FD)d(FD)02I(FD)d(FD).

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