Abstract

The pseudo-Brewster angle Ø<sub>p</sub>B, of minimum reflectance <i>R</i><sub>pm</sub> for the parallel (<i>p</i>) polarization, of an interface between a transparent and an absorbing medium is determined by Im{(∊ - <i>u</i>)[1 - (1 + ∊<sup>-1</sup>)u]<sup>2</sup>} = 0, where ∊ is the complex ratio of dielectric constants of the media and u = sin<sup>2</sup>ø<sub>p</sub>B. It is shown that, for a given value of the normal-incidence amplitude reflectance |<i>r</i>|, there is an associated normal-incidence phase shift, δ = δ<sub>mm</sub>, that leads to maximum minimum parallel reflectance, <i>R</i><sub>pmm</sub>. We determine δ<sub>mm</sub>, <i>R</i><sub>pmm</sub>, ø<sub>p</sub>B<sub>mm</sub> as functions of |<i>r</i>| . We find that, as |<i>r</i>| increases from 0 to 1, δ<sub>mm</sub> decreases from 90° to 0, <i>R</i><sub>pmm</sub>/|<i>r</i>|<sup>2</sup> increases from 0 to 1, and the associated ø<sub>p</sub>B<sub>mm</sub> decreases from 45° to 0, all mon otonically.

© 1983 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Brewster, "On the laws which regulate the polarisation of light by reflexion," Philos. Trans. 105, 125–130 (1815).
  2. See, for example, J. M. Bennett and H. E. Bennett, "Polarization," in Handbook of Optics, W. G. Driscoll and W. Vaughan, eds. (McGraw-Hill, New York, 1978), p. 10–11.
  3. S. P. F. Humphreys-Owen, "Comparison of reflection methods for measuring optical constants without polarimetric analysis, and proposal for new methods based on the Brewster angle," Proc. Phys. Soc. London 77, 949–957 (1961).
  4. H. B. Holl, "Specular reflection and characteristics of reflected light," J. Opt. Soc. Am. 57, 683–690 (1967); see, in particular, footnote 19.
  5. R. H. Muller, "Definitions and conventions in ellipsometry," Surf. Sci. 16, 14–33 (1969).
  6. See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975), Sec. 1.5.2.
  7. The other solution of Eq. (16), u = ∊, is unacceptable when ∊ > 1 or ∊ < 0. When 0 < ∊ < 1, it yields the critical angle of total internal reflection, sin-11/2.
  8. See, for example, S. M. Selby, ed., Standard Mathematical Tables, 20th ed. (Chemical Rubber, Cleveland, Ohio, 1972), pp. 103–105.
  9. This is Method F of Ref. 3.

1969 (1)

R. H. Muller, "Definitions and conventions in ellipsometry," Surf. Sci. 16, 14–33 (1969).

1967 (1)

1961 (1)

S. P. F. Humphreys-Owen, "Comparison of reflection methods for measuring optical constants without polarimetric analysis, and proposal for new methods based on the Brewster angle," Proc. Phys. Soc. London 77, 949–957 (1961).

1815 (1)

D. Brewster, "On the laws which regulate the polarisation of light by reflexion," Philos. Trans. 105, 125–130 (1815).

Bennett, H. E.

See, for example, J. M. Bennett and H. E. Bennett, "Polarization," in Handbook of Optics, W. G. Driscoll and W. Vaughan, eds. (McGraw-Hill, New York, 1978), p. 10–11.

Bennett, J. M.

See, for example, J. M. Bennett and H. E. Bennett, "Polarization," in Handbook of Optics, W. G. Driscoll and W. Vaughan, eds. (McGraw-Hill, New York, 1978), p. 10–11.

Born, M.

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975), Sec. 1.5.2.

Brewster, D.

D. Brewster, "On the laws which regulate the polarisation of light by reflexion," Philos. Trans. 105, 125–130 (1815).

Holl, H. B.

Humphreys-Owen, S. P. F.

S. P. F. Humphreys-Owen, "Comparison of reflection methods for measuring optical constants without polarimetric analysis, and proposal for new methods based on the Brewster angle," Proc. Phys. Soc. London 77, 949–957 (1961).

Muller, R. H.

R. H. Muller, "Definitions and conventions in ellipsometry," Surf. Sci. 16, 14–33 (1969).

Wolf, E.

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975), Sec. 1.5.2.

J. Opt. Soc. Am. (1)

Philos. Trans. (1)

D. Brewster, "On the laws which regulate the polarisation of light by reflexion," Philos. Trans. 105, 125–130 (1815).

Proc. Phys. Soc. London (1)

S. P. F. Humphreys-Owen, "Comparison of reflection methods for measuring optical constants without polarimetric analysis, and proposal for new methods based on the Brewster angle," Proc. Phys. Soc. London 77, 949–957 (1961).

Surf. Sci. (1)

R. H. Muller, "Definitions and conventions in ellipsometry," Surf. Sci. 16, 14–33 (1969).

Other (5)

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975), Sec. 1.5.2.

The other solution of Eq. (16), u = ∊, is unacceptable when ∊ > 1 or ∊ < 0. When 0 < ∊ < 1, it yields the critical angle of total internal reflection, sin-11/2.

See, for example, S. M. Selby, ed., Standard Mathematical Tables, 20th ed. (Chemical Rubber, Cleveland, Ohio, 1972), pp. 103–105.

This is Method F of Ref. 3.

See, for example, J. M. Bennett and H. E. Bennett, "Polarization," in Handbook of Optics, W. G. Driscoll and W. Vaughan, eds. (McGraw-Hill, New York, 1978), p. 10–11.

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.