Abstract

We present a method for optical identification of dielectric and metal nanoparticles in a liquid matrix using phase retrieval of reflectance with TE- and TM-polarized light. A formula is derived for extracting the effective complex dielectric function of a nanoparticle colloid based on different complex reflectance components. The phase retrieval is performed using the maximum entropy method. We observe excellent accuracy both for dielectric and metallic nanoparticles with volume fractions up to 10%.

© 2012 Optical Society of America

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  1. J. Israelachvili, Intermolecular & Surface Forces, 2nd ed. (Academic, 1994).
  2. X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
    [CrossRef]
  3. U. Kreibig and L. Genzel, Surf. Sci. 156, 678 (1985).
    [CrossRef]
  4. L. B. Scaffardi and J. O. Tocho, Nanotechnology 17, 1309 (2006).
    [CrossRef]
  5. V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
    [CrossRef]
  6. T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
    [CrossRef]
  7. J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
    [CrossRef]
  8. V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).
  9. J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
    [CrossRef]
  10. D. E. Aspnes, in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985).
  11. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois, 1949).
  12. P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
    [CrossRef]
  13. T. J. Cornwell and K. F. Evans, Astron. Astrophys. 143, 77 (1985).
  14. J. C. Maxwell Garnett, Phil. Trans. R. Soc. A 203, 385 (1904).
    [CrossRef]
  15. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  16. J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans, 1960), Vol. 4.
  17. J. E. Sipe, J. Opt. Soc. Am. B 4, 481 (1987).
    [CrossRef]
  18. E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
    [CrossRef]

2011 (1)

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

2009 (1)

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
[CrossRef]

2007 (1)

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

2006 (1)

L. B. Scaffardi and J. O. Tocho, Nanotechnology 17, 1309 (2006).
[CrossRef]

2004 (1)

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

2003 (1)

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
[CrossRef]

2002 (1)

P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
[CrossRef]

1993 (1)

E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
[CrossRef]

1987 (1)

1985 (2)

T. J. Cornwell and K. F. Evans, Astron. Astrophys. 143, 77 (1985).

U. Kreibig and L. Genzel, Surf. Sci. 156, 678 (1985).
[CrossRef]

1972 (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

1904 (1)

J. C. Maxwell Garnett, Phil. Trans. R. Soc. A 203, 385 (1904).
[CrossRef]

Asakura, T.

E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
[CrossRef]

Aspnes, D. E.

D. E. Aspnes, in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985).

Baker, J. R.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Beals, J.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Candido, K.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Cao, P.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Cornwell, T. J.

T. J. Cornwell and K. F. Evans, Astron. Astrophys. 143, 77 (1985).

El-Sayed, I. H.

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

El-Sayed, M. A.

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

Evans, K. F.

T. J. Cornwell and K. F. Evans, Astron. Astrophys. 143, 77 (1985).

Genzel, L.

U. Kreibig and L. Genzel, Surf. Sci. 156, 678 (1985).
[CrossRef]

Huang, X.

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

Ionescu, R.

P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
[CrossRef]

Israelachvili, J.

J. Israelachvili, Intermolecular & Surface Forces, 2nd ed. (Academic, 1994).

Jain, P. K.

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Kerzler, B.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Kontturi, V.

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

Kotlyar, A.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Kreibig, U.

U. Kreibig and L. Genzel, Surf. Sci. 156, 678 (1985).
[CrossRef]

Lucarini, V.

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).

Matthews, C. R.

P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
[CrossRef]

Maxwell Garnett, J. C.

J. C. Maxwell Garnett, Phil. Trans. R. Soc. A 203, 385 (1904).
[CrossRef]

Myaing, M. T.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Norris, T. B.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Palik, E. D.

D. E. Aspnes, in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985).

Partington, J. R.

J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans, 1960), Vol. 4.

Patri, A. K.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Peiponen, K.-E.

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
[CrossRef]

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
[CrossRef]

E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
[CrossRef]

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).

Räty, J.

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

Saarinen, J. J.

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
[CrossRef]

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
[CrossRef]

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).

Scaffardi, L. B.

L. B. Scaffardi and J. O. Tocho, Nanotechnology 17, 1309 (2006).
[CrossRef]

Shannon, C. E.

C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois, 1949).

Silfsten, P.

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

Sipe, J. E.

Steinbach, P.

P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
[CrossRef]

Thomas, T. P.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Tocho, J. O.

L. B. Scaffardi and J. O. Tocho, Nanotechnology 17, 1309 (2006).
[CrossRef]

Vartiainen, E. M.

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
[CrossRef]

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
[CrossRef]

E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
[CrossRef]

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).

Weaver, W.

C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois, 1949).

Ye, J. Y.

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

Appl. Phys. Lett. (1)

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Appl. Phys. Lett. 83, 893 (2003).
[CrossRef]

Astron. Astrophys. (1)

T. J. Cornwell and K. F. Evans, Astron. Astrophys. 143, 77 (1985).

Biophys. J. (2)

P. Steinbach, R. Ionescu, and C. R. Matthews, Biophys. J. 82, 2244 (2002).
[CrossRef]

T. P. Thomas, M. T. Myaing, J. Y. Ye, K. Candido, A. Kotlyar, J. Beals, P. Cao, B. Kerzler, A. K. Patri, T. B. Norris, and J. R. Baker, Biophys. J. 86, 3959 (2004).
[CrossRef]

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

Nanomedicine (1)

X. Huang, P. K. Jain, I. H. El-Sayed, and M. A. El-Sayed, Nanomedicine 2, 681 (2007).
[CrossRef]

Nanotechnology (1)

L. B. Scaffardi and J. O. Tocho, Nanotechnology 17, 1309 (2006).
[CrossRef]

Opt. Commun. (1)

E. M. Vartiainen, T. Asakura, and K.-E. Peiponen, Opt. Commun. 104, 149 (1993).
[CrossRef]

Phil. Trans. R. Soc. A (1)

J. C. Maxwell Garnett, Phil. Trans. R. Soc. A 203, 385 (1904).
[CrossRef]

Phys. Rev. B (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Plasmonics (1)

V. Kontturi, P. Silfsten, J. Räty, and K.-E. Peiponen, Plasmonics 6, 345 (2011).
[CrossRef]

Sens. Actuators B (1)

J. J. Saarinen, E. M. Vartiainen, and K.-E. Peiponen, Sens. Actuators B 138, 383 (2009).
[CrossRef]

Surf. Sci. (1)

U. Kreibig and L. Genzel, Surf. Sci. 156, 678 (1985).
[CrossRef]

Other (5)

J. Israelachvili, Intermolecular & Surface Forces, 2nd ed. (Academic, 1994).

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research (Springer, 2005).

D. E. Aspnes, in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985).

C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois, 1949).

J. R. Partington, An Advanced Treatise on Physical Chemistry (Longmans, 1960), Vol. 4.

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