Abstract

Refractive-index data are important for the prediction of light scattering from spherical pigments. Reflectance from a slurry that contains plastic pigments was studied with the aid of a reflectometer. The effective refractive index of spherical plastic pigments in a slurry was determined by use of reflectance data and a phase-retrieval procedure based on the maximum-entropy method. This method provides a simple way to estimate the effective refractive index of pigments in a liquid matrix.

© 2001 Optical Society of America

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  1. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  2. A. Killey, G. H. Meeten, “Optical extinction and refraction of concentrated latex dispersions,” J. Chem. Soc. Faraday Trans. 77, 587–599 (1981).
    [CrossRef]
  3. G. H. Meeten, A. N. North, “Refractive index measurement of absorbing and turbid fluids by reflection near the critical angle,” Meas. Sci. Technol. 6, 214–221 (1991).
    [CrossRef]
  4. M. Mohammadi, “Colloidal refractometry: meaning and measurement of refractive index for dispersions; the science that time forgot,” Adv. Colloidal Interface Sci. 62, 17–29 (1995).
    [CrossRef]
  5. G. H. Meeten, “Refraction by spherical particles in the intermediate scattering region,” Opt. Commun. 134, 233–240 (1997).
    [CrossRef]
  6. J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
    [CrossRef]
  7. J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from refectance of liquids in the UV–visible range,” Appl. Spectrosc. 53, 92–96 (1999).
    [CrossRef]
  8. J. A. Räty, K.-E. Peiponen, “Reflectance study of milk in the UV–visible range,” Appl. Spectrosc. 53, 1123–1127 (1999).
    [CrossRef]
  9. A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
    [CrossRef]
  10. K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
    [CrossRef]
  11. A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
    [CrossRef]
  12. E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
    [CrossRef]
  13. J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from reflectance of liquids in the UV–visible range,” Appl. Spectrosc. 5, 92–96 (1999).
    [CrossRef]
  14. K.-E. Peiponen, E. M. Vartiainen, T. Asakura, “Dispersion relations and phase retrieval in optical spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1997), Vol. 37.
    [CrossRef]
  15. K.-E. Peiponen, E. M. Vartiainen, T. Asakura, Dispersion, Complex Analysis and Optical Spectroscopy (Springer-Verlag, Berlin, 1999), pp. 79–95.
  16. Melles Griot Catalog 1997–1998 (Melles Griot, 55 Sciene Parkway, Rochester, N.Y. 14620), p. A4.11.
  17. K. F. Palmer, M. Z. Williams, B. A. Budde, “Multiply subtractive Kramers–Kronig analysis of optical data,” Appl. Opt. 37, 2660–2673 (1998).
    [CrossRef]
  18. J. Partington, Advanced Treatise on Physical Chemistry (Longmans, Green, New York, 1960), Vol. 4, p. 30.
  19. J. Räty, K.-E. Peiponen, “Measurement of refractive index of liquids using s- and p-polarized light,” Meas. Sci. Technol. 11, 74–76 (2000).
    [CrossRef]
  20. J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
    [CrossRef]
  21. K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
    [CrossRef]
  22. K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
    [CrossRef]

2001 (1)

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
[CrossRef]

2000 (4)

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

J. Räty, K.-E. Peiponen, “Measurement of refractive index of liquids using s- and p-polarized light,” Meas. Sci. Technol. 11, 74–76 (2000).
[CrossRef]

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

1999 (5)

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
[CrossRef]

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from refectance of liquids in the UV–visible range,” Appl. Spectrosc. 53, 92–96 (1999).
[CrossRef]

J. A. Räty, K.-E. Peiponen, “Reflectance study of milk in the UV–visible range,” Appl. Spectrosc. 53, 1123–1127 (1999).
[CrossRef]

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from reflectance of liquids in the UV–visible range,” Appl. Spectrosc. 5, 92–96 (1999).
[CrossRef]

1998 (2)

K. F. Palmer, M. Z. Williams, B. A. Budde, “Multiply subtractive Kramers–Kronig analysis of optical data,” Appl. Opt. 37, 2660–2673 (1998).
[CrossRef]

J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
[CrossRef]

1997 (1)

G. H. Meeten, “Refraction by spherical particles in the intermediate scattering region,” Opt. Commun. 134, 233–240 (1997).
[CrossRef]

1995 (1)

M. Mohammadi, “Colloidal refractometry: meaning and measurement of refractive index for dispersions; the science that time forgot,” Adv. Colloidal Interface Sci. 62, 17–29 (1995).
[CrossRef]

1993 (1)

E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
[CrossRef]

1991 (1)

G. H. Meeten, A. N. North, “Refractive index measurement of absorbing and turbid fluids by reflection near the critical angle,” Meas. Sci. Technol. 6, 214–221 (1991).
[CrossRef]

1981 (1)

A. Killey, G. H. Meeten, “Optical extinction and refraction of concentrated latex dispersions,” J. Chem. Soc. Faraday Trans. 77, 587–599 (1981).
[CrossRef]

Asakura, T.

E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, Dispersion, Complex Analysis and Optical Spectroscopy (Springer-Verlag, Berlin, 1999), pp. 79–95.

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, “Dispersion relations and phase retrieval in optical spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1997), Vol. 37.
[CrossRef]

Bohren, C. F.

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

Budde, B. A.

Gauglitz, G.

J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
[CrossRef]

Homola, J.

J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
[CrossRef]

Huffman, D. R.

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

Jääskeläinen, A.

Jääskeläinen, A. J.

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Johansen, K.

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

Kauppinen, E. I.

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Kawata, S.

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

Keränen, E.

J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
[CrossRef]

Killey, A.

A. Killey, G. H. Meeten, “Optical extinction and refraction of concentrated latex dispersions,” J. Chem. Soc. Faraday Trans. 77, 587–599 (1981).
[CrossRef]

Liedberg, B.

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

Lumme, K.

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Lundström, I.

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

Meeten, G. H.

G. H. Meeten, “Refraction by spherical particles in the intermediate scattering region,” Opt. Commun. 134, 233–240 (1997).
[CrossRef]

G. H. Meeten, A. N. North, “Refractive index measurement of absorbing and turbid fluids by reflection near the critical angle,” Meas. Sci. Technol. 6, 214–221 (1991).
[CrossRef]

A. Killey, G. H. Meeten, “Optical extinction and refraction of concentrated latex dispersions,” J. Chem. Soc. Faraday Trans. 77, 587–599 (1981).
[CrossRef]

Mohammadi, M.

M. Mohammadi, “Colloidal refractometry: meaning and measurement of refractive index for dispersions; the science that time forgot,” Adv. Colloidal Interface Sci. 62, 17–29 (1995).
[CrossRef]

North, A. N.

G. H. Meeten, A. N. North, “Refractive index measurement of absorbing and turbid fluids by reflection near the critical angle,” Meas. Sci. Technol. 6, 214–221 (1991).
[CrossRef]

Palmer, K. F.

Partington, J.

J. Partington, Advanced Treatise on Physical Chemistry (Longmans, Green, New York, 1960), Vol. 4, p. 30.

Peiponen, K.-E.

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

J. Räty, K.-E. Peiponen, “Measurement of refractive index of liquids using s- and p-polarized light,” Meas. Sci. Technol. 11, 74–76 (2000).
[CrossRef]

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from refectance of liquids in the UV–visible range,” Appl. Spectrosc. 53, 92–96 (1999).
[CrossRef]

J. A. Räty, K.-E. Peiponen, “Reflectance study of milk in the UV–visible range,” Appl. Spectrosc. 53, 1123–1127 (1999).
[CrossRef]

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from reflectance of liquids in the UV–visible range,” Appl. Spectrosc. 5, 92–96 (1999).
[CrossRef]

J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
[CrossRef]

E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, “Dispersion relations and phase retrieval in optical spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1997), Vol. 37.
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, Dispersion, Complex Analysis and Optical Spectroscopy (Springer-Verlag, Berlin, 1999), pp. 79–95.

Räty, J.

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
[CrossRef]

J. Räty, K.-E. Peiponen, “Measurement of refractive index of liquids using s- and p-polarized light,” Meas. Sci. Technol. 11, 74–76 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
[CrossRef]

Räty, J. A.

Richard, O.

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Stålberg, R.

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

Sugiura, T.

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

Tapper, U.

K.-E. Peiponen, A. Jääskeläinen, J. Räty, O. Richard, U. Tapper, E. I. Kauppinen, K. Lumme, “Reflectance study of pigments,” Appl. Spectrosc. 54, 878–884 (2000).
[CrossRef]

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Vartiainen, E. M.

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from reflectance of liquids in the UV–visible range,” Appl. Spectrosc. 5, 92–96 (1999).
[CrossRef]

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

J. A. Räty, E. M. Vartiainen, K.-E. Peiponen, “Resolving optical constants from refectance of liquids in the UV–visible range,” Appl. Spectrosc. 53, 92–96 (1999).
[CrossRef]

E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, “Dispersion relations and phase retrieval in optical spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1997), Vol. 37.
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, Dispersion, Complex Analysis and Optical Spectroscopy (Springer-Verlag, Berlin, 1999), pp. 79–95.

Williams, M. Z.

Yee, S. S.

J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
[CrossRef]

Adv. Colloidal Interface Sci. (1)

M. Mohammadi, “Colloidal refractometry: meaning and measurement of refractive index for dispersions; the science that time forgot,” Adv. Colloidal Interface Sci. 62, 17–29 (1995).
[CrossRef]

Appl. Opt. (1)

Appl. Spectrosc. (4)

J. Chem. Soc. Faraday Trans. (1)

A. Killey, G. H. Meeten, “Optical extinction and refraction of concentrated latex dispersions,” J. Chem. Soc. Faraday Trans. 77, 587–599 (1981).
[CrossRef]

J. Dairy Sci. (1)

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, “On reflectometric measurement of refractive index of milk,” J. Dairy Sci. 84, 38–43 (2001).
[CrossRef]

Meas. Sci. Technol. (5)

J. Räty, E. Keränen, K.-E. Peiponen, “The complex refractive index measurement of liquids by a novel reflectometer apparatus for the UV–visible spectral range,” Meas. Sci. Technol. 9, 95–99 (1998).
[CrossRef]

G. H. Meeten, A. N. North, “Refractive index measurement of absorbing and turbid fluids by reflection near the critical angle,” Meas. Sci. Technol. 6, 214–221 (1991).
[CrossRef]

J. Räty, K.-E. Peiponen, “Measurement of refractive index of liquids using s- and p-polarized light,” Meas. Sci. Technol. 11, 74–76 (2000).
[CrossRef]

K. Johansen, R. Stålberg, I. Lundström, B. Liedberg, “Surface plasmon resonance: instrumental resolution using photo diode arrays,” Meas. Sci. Technol. 11, 1630–1638 (2000).
[CrossRef]

K.-E. Peiponen, J. Räty, E. M. Vartiainen, T. Sugiura, S. Kawata, “Optical constants of industrial liquids obtained by phase retrieval from reflectometric and surface-plasmon-resonance data,” Meas. Sci. Technol. 10, N145–N148 (1999).
[CrossRef]

Opt. Commun. (2)

E. M. Vartiainen, T. Asakura, K.-E. Peiponen, “Generalized noniterative maximum entropy procedure for phase retrieval problems in optical spectroscopy,” Opt. Commun. 104, 149–156 (1993).
[CrossRef]

G. H. Meeten, “Refraction by spherical particles in the intermediate scattering region,” Opt. Commun. 134, 233–240 (1997).
[CrossRef]

Opt. Eng. (1)

A. J. Jääskeläinen, K.-E. Peiponen, J. Räty, U. Tapper, O. Richard, E. I. Kauppinen, K. Lumme, “Estimation of the refractive index of plastic pigments by Wiener bounds,” Opt. Eng. 39, 2959–2963 (2000).
[CrossRef]

Sens. Actuators B (1)

J. Homola, S. S. Yee, G. Gauglitz, “Surface plasmon resonance sensors: review,” Sens. Actuators B 54, 3–15 (1999).
[CrossRef]

Other (5)

J. Partington, Advanced Treatise on Physical Chemistry (Longmans, Green, New York, 1960), Vol. 4, p. 30.

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, “Dispersion relations and phase retrieval in optical spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1997), Vol. 37.
[CrossRef]

K.-E. Peiponen, E. M. Vartiainen, T. Asakura, Dispersion, Complex Analysis and Optical Spectroscopy (Springer-Verlag, Berlin, 1999), pp. 79–95.

Melles Griot Catalog 1997–1998 (Melles Griot, 55 Sciene Parkway, Rochester, N.Y. 14620), p. A4.11.

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

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the reflectometer.

Fig. 2
Fig. 2

TEM micrograph of a group of five plastic pigments.

Fig. 3
Fig. 3

Reflectance from plastic pigment slurry recorded as a function of wavelength at θ = 73.7° angle of incidence.

Fig. 4
Fig. 4

Effective refractive index of the slurry.

Fig. 5
Fig. 5

Effective attenuation coefficient of the slurry.

Fig. 6
Fig. 6

Effective refractive index of a concentric spherical plastic pigment.

Equations (9)

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

Rsλ=cos θ-Neffλ/nprismλ2-sin2 θ1/2cos θ+Neffλ/nprismλ2-sin2 θ1/22,
nprism2-1=0.6961663λ2λ2-0.06840432+0.4079426λ2λ2-0.11624142+0.8974794λ2λ2-9.8961612,
Rs=|β|21+m=1N αm exp-2imπν2,
ν=ω-ω1ω2-ω1
m=0M αmCn-m=|β|2,n=00,n=1,, M.
Ct=01 Rsνexp2πitνdν.
rsν=|β|exp-iϕν1+m=1M αm exp-2imπν,
neff=nwater+fnp-nwatersin xx,
nwaterλ=1.76148-0.013414λ2+0.0065438λ2-0.01325261/2,

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