Abstract

Generalized Brewster-angle conditions for either the <i>s</i> or <i>p</i> plane of polarization are derived for periodic quarter-wave multilayers on a substrate, when the two layers of the basic period are matched to have equal effective optical thickness. By use of these relations, graphs for the design of reflecting polarizers for either the <i>s</i> or <i>p</i> plane of polarization are presented; two examples made with ZnS and MgF<sub>2</sub> layers are treated in detail. The multilayer systems under consideration may also be used as transmitting polarizers, antireflection coatings for linearly polarized light, and for polarization-sensitive interference filters.

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  1. C. J. Broomer, Opt. Spectra 6 (7), 34 (1972).
  2. R. J. King and S. P. Talim, J. Phys. E 4, 93 (1971).
  3. F. Abelès, J. Phys. Radium 11, 403 (1950).
  4. L. A. Catalan, J. Opt. Soc. Am. 55, 857 (1965).
  5. M. Ruiz-Urbieta and E. M. Sparrow, J. Opt. Soc. Am. 62, 1188 (1972).
  6. M. Banning, J. Opt. Soc. Am. 37, 792 (1947).
  7. H. Schröder and R. Schläfer, Z. Naturforsch. 4a, 576 (1949).
  8. J. J. Vera, Opt. Acta 11, 315 (1964).
  9. P. B. Clapham, M. J. Downs, and R. J. King, Appl. Opt. 8, 1965 (1969).
  10. A. F. Turner and P. W. Baumeister, Appl. Opt. 5, 69 (1966).
  11. P. Kard, Izv. Akad. Nauk Eston. SSR 9, 26 (1960).
  12. H. Schröder, Optik 3, 499 (1948).
  13. R. Messner, Feinwerktechnik 57, 142 (1953).
  14. W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 61, 1604 (1971).
  15. W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 62, 1329 (1972).
  16. D. Kermisch, J. Opt. Soc. Am. 62, 1010 (1972).
  17. P. Baumeister, Opt. Acta 8, 105 (1961).
  18. H. F. Mahlein, Opt. Acta 20, 687 (1973).
  19. H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).
  20. H. F. Mahlein, Opt. Laser Tech. 5, 60 (1973).
  21. E. Ritter, in Laser Handbook, edited by F. T. Arecchi and E. O. Schulz-Dubois (North-Holland, Amsterdam, 1972), Vol. 1, p. 897.

Abelès, F.

F. Abelès, J. Phys. Radium 11, 403 (1950).

Banning, M.

M. Banning, J. Opt. Soc. Am. 37, 792 (1947).

Baumeister, P.

P. Baumeister, Opt. Acta 8, 105 (1961).

Baumeister, P. W.

A. F. Turner and P. W. Baumeister, Appl. Opt. 5, 69 (1966).

Broomer, C. J.

C. J. Broomer, Opt. Spectra 6 (7), 34 (1972).

Buchman, W. W.

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 61, 1604 (1971).

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 62, 1329 (1972).

Catalan, L. A.

L. A. Catalan, J. Opt. Soc. Am. 55, 857 (1965).

Clapham, P. B.

P. B. Clapham, M. J. Downs, and R. J. King, Appl. Opt. 8, 1965 (1969).

Downs, M. J.

P. B. Clapham, M. J. Downs, and R. J. King, Appl. Opt. 8, 1965 (1969).

Holmes, S. J.

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 61, 1604 (1971).

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 62, 1329 (1972).

Kard, P.

P. Kard, Izv. Akad. Nauk Eston. SSR 9, 26 (1960).

Kermisch, D.

D. Kermisch, J. Opt. Soc. Am. 62, 1010 (1972).

King, R. J.

P. B. Clapham, M. J. Downs, and R. J. King, Appl. Opt. 8, 1965 (1969).

R. J. King and S. P. Talim, J. Phys. E 4, 93 (1971).

Macleod, H. A.

H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).

Mahlein, H. F.

H. F. Mahlein, Opt. Acta 20, 687 (1973).

H. F. Mahlein, Opt. Laser Tech. 5, 60 (1973).

Messner, R.

R. Messner, Feinwerktechnik 57, 142 (1953).

Ritter, E.

E. Ritter, in Laser Handbook, edited by F. T. Arecchi and E. O. Schulz-Dubois (North-Holland, Amsterdam, 1972), Vol. 1, p. 897.

Ruiz-Urbieta, M.

M. Ruiz-Urbieta and E. M. Sparrow, J. Opt. Soc. Am. 62, 1188 (1972).

Schläfer, R.

H. Schröder and R. Schläfer, Z. Naturforsch. 4a, 576 (1949).

Schröder, H.

H. Schröder and R. Schläfer, Z. Naturforsch. 4a, 576 (1949).

H. Schröder, Optik 3, 499 (1948).

Sparrow, E. M.

M. Ruiz-Urbieta and E. M. Sparrow, J. Opt. Soc. Am. 62, 1188 (1972).

Talim, S. P.

R. J. King and S. P. Talim, J. Phys. E 4, 93 (1971).

Turner, A. F.

A. F. Turner and P. W. Baumeister, Appl. Opt. 5, 69 (1966).

Vera, J. J.

J. J. Vera, Opt. Acta 11, 315 (1964).

Woodberry, F. J.

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 61, 1604 (1971).

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 62, 1329 (1972).

Other (21)

C. J. Broomer, Opt. Spectra 6 (7), 34 (1972).

R. J. King and S. P. Talim, J. Phys. E 4, 93 (1971).

F. Abelès, J. Phys. Radium 11, 403 (1950).

L. A. Catalan, J. Opt. Soc. Am. 55, 857 (1965).

M. Ruiz-Urbieta and E. M. Sparrow, J. Opt. Soc. Am. 62, 1188 (1972).

M. Banning, J. Opt. Soc. Am. 37, 792 (1947).

H. Schröder and R. Schläfer, Z. Naturforsch. 4a, 576 (1949).

J. J. Vera, Opt. Acta 11, 315 (1964).

P. B. Clapham, M. J. Downs, and R. J. King, Appl. Opt. 8, 1965 (1969).

A. F. Turner and P. W. Baumeister, Appl. Opt. 5, 69 (1966).

P. Kard, Izv. Akad. Nauk Eston. SSR 9, 26 (1960).

H. Schröder, Optik 3, 499 (1948).

R. Messner, Feinwerktechnik 57, 142 (1953).

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 61, 1604 (1971).

W. W. Buchman, S. J. Holmes, and F. J. Woodberry, J. Opt. Soc. Am. 62, 1329 (1972).

D. Kermisch, J. Opt. Soc. Am. 62, 1010 (1972).

P. Baumeister, Opt. Acta 8, 105 (1961).

H. F. Mahlein, Opt. Acta 20, 687 (1973).

H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).

H. F. Mahlein, Opt. Laser Tech. 5, 60 (1973).

E. Ritter, in Laser Handbook, edited by F. T. Arecchi and E. O. Schulz-Dubois (North-Holland, Amsterdam, 1972), Vol. 1, p. 897.

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