Abstract

A new method is presented for obtaining intrinsic absorption spectra (i.e., index of refraction and extinction coefficient versus wavelength) from reflection spectra of stratified media, which usually are complicated by substrate absorption, thin-layer interference patterns, etc. A typical application is to obtain intrinsic absorption spectra of an organic monolayer chemisorbed on the surface of a very thin metal film, which is in turn supported by a bulk substrate. The basis of the method is the proven causality of a special reflection function that we introduce, and the application of the transformation of Peterson and Knight to this function. The method is general, and has been found to give accurate results for various multiphase systems without restriction as to number of phases, angle of incidence, or polarization. While the method is valid for general stratified media, its accuracy depends upon the information content of the particular reflection spectrum taken. The sensitivity available can be calculated and the adjustable optical parameters chosen accordingly.

© 1977 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |

  1. N. J. Harrick, Internal Reflection Spectroscopy (Interscience, New York, 1967).
  2. W. N. Hansen, in Symposium of the Faraday Society, No. 4, 1970 (unpublished).
  3. W. N. Hansen, in Advances in Electrochemistry and Electrochemical Engineering, edited by R. H. Muller (Wiley-Interscience, New York, 1973), Vol. 9, pp. 1–60.
  4. J. D. E. McIntyre, in Ref. 3, pp. 61–166.
  5. J. D. E. McIntyre, in Optical Properties of Solids—New Developments, edited by B. O. Seraphin (American Elsevier, New York, 1976).
  6. W. N. Hansen, J. Opt. Soc. Am. 63, 793 (1973).
  7. T. S. Robinson, Proc. Phys. Soc. Lond. B 65, 910 (1952).
  8. T. S. Robinson and W. C. Price, Proc. Phys. Soc. Lond. B 66, 969 (1953).
  9. J. S. Toll, Phys. Rev. 104, 1760 (1956).
  10. H. R. Phillip and E. A. Taft, Phys. Rev. 136, A1445 (1964).
  11. Dwight W. Berreman, Appl. Opt. 6, 1519 (1967).
  12. M. Gottlieb, J. Opt. Soc. Am. 50, 343 (1960).
  13. G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).
  14. C. W. Peterson and B. W. Knight, J. Opt. Soc. Am. 63, 1238 (1973).
  15. W. J. Plieth and K. Naegele, Surf. Sci. 50, 53 (1975).
  16. K. Naegele and W. J. Plieth, Surf. Sci. 50, 64–76 (1975).
  17. W. N. Hansen, J. Opt. Soc. Am. 58, 380 (1968).
  18. W. M. Hansen, in Progress in Nuclear Energy, Series IX, edited by H. A. Elion and D. C. Steward (Pergamon, New York, 1972), Vol. 11.
  19. G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).
  20. F. Wooten, Optical Properties of Solids (Academic, New York, 1972).
  21. A. C. Gilby et al., J. Phys. Chem. 70, 1525 (1966).
  22. K. Kozima, W. Suétka, and P. N. Schatz, J. Opt. Soc. Am. 56, 181 (1966).
  23. J. S. Plaskett and P. N. Shatz, J. Chem. Phys. 38, 612 (1963).
  24. (a) H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972), p. 21; (b) p. 27; (c) p. 19.
  25. Z. Nehari, Introduction to Complex Analysis (Allyn and Bacon, Boston, 1961), Chap. VII.
  26. J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).
  27. E. Oran Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N. J., 1974).

Andermann, G.

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

Berreman, Dwight W.

Dwight W. Berreman, Appl. Opt. 6, 1519 (1967).

Brantley, L.

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

Brigham, E. Oran

E. Oran Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N. J., 1974).

Caron, A.

G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

Cooley, J. W.

J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).

Dows, D. A.

G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

Gilby, A. C.

A. C. Gilby et al., J. Phys. Chem. 70, 1525 (1966).

Gottlieb, M.

M. Gottlieb, J. Opt. Soc. Am. 50, 343 (1960).

Hansen, W. M.

W. M. Hansen, in Progress in Nuclear Energy, Series IX, edited by H. A. Elion and D. C. Steward (Pergamon, New York, 1972), Vol. 11.

Hansen, W. N.

W. N. Hansen, in Symposium of the Faraday Society, No. 4, 1970 (unpublished).

W. N. Hansen, J. Opt. Soc. Am. 58, 380 (1968).

W. N. Hansen, in Advances in Electrochemistry and Electrochemical Engineering, edited by R. H. Muller (Wiley-Interscience, New York, 1973), Vol. 9, pp. 1–60.

W. N. Hansen, J. Opt. Soc. Am. 63, 793 (1973).

Harrick, N. J.

N. J. Harrick, Internal Reflection Spectroscopy (Interscience, New York, 1967).

Knight, B. W.

C. W. Peterson and B. W. Knight, J. Opt. Soc. Am. 63, 1238 (1973).

Kozima, K.

K. Kozima, W. Suétka, and P. N. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

McIntyre, J. D. E.

J. D. E. McIntyre, in Ref. 3, pp. 61–166.

J. D. E. McIntyre, in Optical Properties of Solids—New Developments, edited by B. O. Seraphin (American Elsevier, New York, 1976).

Naegele, K.

W. J. Plieth and K. Naegele, Surf. Sci. 50, 53 (1975).

K. Naegele and W. J. Plieth, Surf. Sci. 50, 64–76 (1975).

Nehari, Z.

Z. Nehari, Introduction to Complex Analysis (Allyn and Bacon, Boston, 1961), Chap. VII.

Nussenzveig, H. M.

(a) H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972), p. 21; (b) p. 27; (c) p. 19.

Peterson, C. W.

C. W. Peterson and B. W. Knight, J. Opt. Soc. Am. 63, 1238 (1973).

Phillip, H. R.

H. R. Phillip and E. A. Taft, Phys. Rev. 136, A1445 (1964).

Plaskett, J. S.

J. S. Plaskett and P. N. Shatz, J. Chem. Phys. 38, 612 (1963).

Plieth, W. J.

K. Naegele and W. J. Plieth, Surf. Sci. 50, 64–76 (1975).

W. J. Plieth and K. Naegele, Surf. Sci. 50, 53 (1975).

Price, W. C.

T. S. Robinson and W. C. Price, Proc. Phys. Soc. Lond. B 66, 969 (1953).

Robinson, T. S.

T. S. Robinson and W. C. Price, Proc. Phys. Soc. Lond. B 66, 969 (1953).

T. S. Robinson, Proc. Phys. Soc. Lond. B 65, 910 (1952).

Schatz, P. N.

K. Kozima, W. Suétka, and P. N. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

Shatz, P. N.

J. S. Plaskett and P. N. Shatz, J. Chem. Phys. 38, 612 (1963).

Suétka, W.

K. Kozima, W. Suétka, and P. N. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

Taft, E. A.

H. R. Phillip and E. A. Taft, Phys. Rev. 136, A1445 (1964).

Toll, J. S.

J. S. Toll, Phys. Rev. 104, 1760 (1956).

Tukey, J. W.

J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).

Wooten, F.

F. Wooten, Optical Properties of Solids (Academic, New York, 1972).

Other

N. J. Harrick, Internal Reflection Spectroscopy (Interscience, New York, 1967).

W. N. Hansen, in Symposium of the Faraday Society, No. 4, 1970 (unpublished).

W. N. Hansen, in Advances in Electrochemistry and Electrochemical Engineering, edited by R. H. Muller (Wiley-Interscience, New York, 1973), Vol. 9, pp. 1–60.

J. D. E. McIntyre, in Ref. 3, pp. 61–166.

J. D. E. McIntyre, in Optical Properties of Solids—New Developments, edited by B. O. Seraphin (American Elsevier, New York, 1976).

W. N. Hansen, J. Opt. Soc. Am. 63, 793 (1973).

T. S. Robinson, Proc. Phys. Soc. Lond. B 65, 910 (1952).

T. S. Robinson and W. C. Price, Proc. Phys. Soc. Lond. B 66, 969 (1953).

J. S. Toll, Phys. Rev. 104, 1760 (1956).

H. R. Phillip and E. A. Taft, Phys. Rev. 136, A1445 (1964).

Dwight W. Berreman, Appl. Opt. 6, 1519 (1967).

M. Gottlieb, J. Opt. Soc. Am. 50, 343 (1960).

G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).

C. W. Peterson and B. W. Knight, J. Opt. Soc. Am. 63, 1238 (1973).

W. J. Plieth and K. Naegele, Surf. Sci. 50, 53 (1975).

K. Naegele and W. J. Plieth, Surf. Sci. 50, 64–76 (1975).

W. N. Hansen, J. Opt. Soc. Am. 58, 380 (1968).

W. M. Hansen, in Progress in Nuclear Energy, Series IX, edited by H. A. Elion and D. C. Steward (Pergamon, New York, 1972), Vol. 11.

G. Andermann and L. Brantley, J. Opt. Soc. Am. 58, 171 (1968).

F. Wooten, Optical Properties of Solids (Academic, New York, 1972).

A. C. Gilby et al., J. Phys. Chem. 70, 1525 (1966).

K. Kozima, W. Suétka, and P. N. Schatz, J. Opt. Soc. Am. 56, 181 (1966).

J. S. Plaskett and P. N. Shatz, J. Chem. Phys. 38, 612 (1963).

(a) H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972), p. 21; (b) p. 27; (c) p. 19.

Z. Nehari, Introduction to Complex Analysis (Allyn and Bacon, Boston, 1961), Chap. VII.

J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).

E. Oran Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N. J., 1974).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.