Abstract

The Frustrated Total Reflection filter is a transmission band pass filter. It can be constructed for any part of the spectrum for which there exist transparent materials of different indices of refraction. Measurements are shown of a filter which was designed for the rocksalt infra-red region. This filter has two oppositely polarized pass bands which, at a particular angle of incidence, are at 412 and 5 microns, respectively. Both the pass bands are approximately 110 of a micron wide. They can be shifted over a range of approximately half a micron by tilting the filter.

© 1949 Optical Society of America

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References

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  1. John Strong, Procedures in Experimental Physics (Prentice-Hall, Inc., New York, 1943).Maurice Parodi, Recherches dans L’Infrarouge Lointain par la Methode des Rayons Restants (Hermann & Cie, Paris, 1938).
  2. B. Lyot, Comptes Rendus 197, 1593 (1933).
  3. C. Christiansen, Ann. Physik u. Chemie 23, 298 (1884);Ann. Physik u. Chemie 24, 439 (1885).E. D. McAlister, Smithsonian Misc. 93, No. 7 (1935).
    [Crossref]
  4. R. W. Wood, Physical Optics (The Macmillan Company, New York, 1934), p. 199.
  5. See reference 4, p. 214.
  6. L. N. Hadley and D. M. Dennison, J. Opt. Soc. Am. 37, 451–465 (1947);J. Opt. Soc. Am. 38, 483–496 (1948).
    [Crossref]
  7. See reference 4. Also, F. A. Jenkins and H. E. White, Fundamentals of Physical Optics (McGraw-Hill Book Company, Inc., New York, 1937).
  8. Thornton Fry, J. Opt. Soc. Am. 22, 307 (1932).
    [Crossref]
  9. Leurgans Paul and A. F. Turner, J. Opt. Soc. Am. 37, 983 (1947).
  10. Schröter, Zeits. f. Physik 67, 24 (1931).
    [Crossref]
  11. Baird, O’Bryan, Ogden, and Lee, “An automatic recording infra-red spectrophotometer,” J. Opt. Soc. Am. 37, 754–761 (1947).
    [Crossref] [PubMed]
  12. Silver chloride sheets are provided by the Harshaw Chemical Company, Cleveland, Ohio.
  13. N. Wright, J. Opt. Soc. Am 38, 69 (1948).
    [Crossref]
  14. R. Newman and R. S. Halford, Rev. Sci. Inst. 19, 270 (1948).
    [Crossref]

1948 (2)

N. Wright, J. Opt. Soc. Am 38, 69 (1948).
[Crossref]

R. Newman and R. S. Halford, Rev. Sci. Inst. 19, 270 (1948).
[Crossref]

1947 (3)

1933 (1)

B. Lyot, Comptes Rendus 197, 1593 (1933).

1932 (1)

1931 (1)

Schröter, Zeits. f. Physik 67, 24 (1931).
[Crossref]

1884 (1)

C. Christiansen, Ann. Physik u. Chemie 23, 298 (1884);Ann. Physik u. Chemie 24, 439 (1885).E. D. McAlister, Smithsonian Misc. 93, No. 7 (1935).
[Crossref]

Baird,

Christiansen, C.

C. Christiansen, Ann. Physik u. Chemie 23, 298 (1884);Ann. Physik u. Chemie 24, 439 (1885).E. D. McAlister, Smithsonian Misc. 93, No. 7 (1935).
[Crossref]

Dennison, D. M.

Fry, Thornton

Hadley, L. N.

Halford, R. S.

R. Newman and R. S. Halford, Rev. Sci. Inst. 19, 270 (1948).
[Crossref]

Jenkins, F. A.

See reference 4. Also, F. A. Jenkins and H. E. White, Fundamentals of Physical Optics (McGraw-Hill Book Company, Inc., New York, 1937).

Lee,

Lyot, B.

B. Lyot, Comptes Rendus 197, 1593 (1933).

Newman, R.

R. Newman and R. S. Halford, Rev. Sci. Inst. 19, 270 (1948).
[Crossref]

O’Bryan,

Ogden,

Paul, Leurgans

Leurgans Paul and A. F. Turner, J. Opt. Soc. Am. 37, 983 (1947).

Schröter,

Schröter, Zeits. f. Physik 67, 24 (1931).
[Crossref]

Strong, John

John Strong, Procedures in Experimental Physics (Prentice-Hall, Inc., New York, 1943).Maurice Parodi, Recherches dans L’Infrarouge Lointain par la Methode des Rayons Restants (Hermann & Cie, Paris, 1938).

Turner, A. F.

Leurgans Paul and A. F. Turner, J. Opt. Soc. Am. 37, 983 (1947).

White, H. E.

See reference 4. Also, F. A. Jenkins and H. E. White, Fundamentals of Physical Optics (McGraw-Hill Book Company, Inc., New York, 1937).

Wood, R. W.

R. W. Wood, Physical Optics (The Macmillan Company, New York, 1934), p. 199.

Wright, N.

N. Wright, J. Opt. Soc. Am 38, 69 (1948).
[Crossref]

Ann. Physik u. Chemie (1)

C. Christiansen, Ann. Physik u. Chemie 23, 298 (1884);Ann. Physik u. Chemie 24, 439 (1885).E. D. McAlister, Smithsonian Misc. 93, No. 7 (1935).
[Crossref]

Comptes Rendus (1)

B. Lyot, Comptes Rendus 197, 1593 (1933).

J. Opt. Soc. Am (1)

N. Wright, J. Opt. Soc. Am 38, 69 (1948).
[Crossref]

J. Opt. Soc. Am. (4)

Rev. Sci. Inst. (1)

R. Newman and R. S. Halford, Rev. Sci. Inst. 19, 270 (1948).
[Crossref]

Zeits. f. Physik (1)

Schröter, Zeits. f. Physik 67, 24 (1931).
[Crossref]

Other (5)

See reference 4. Also, F. A. Jenkins and H. E. White, Fundamentals of Physical Optics (McGraw-Hill Book Company, Inc., New York, 1937).

John Strong, Procedures in Experimental Physics (Prentice-Hall, Inc., New York, 1943).Maurice Parodi, Recherches dans L’Infrarouge Lointain par la Methode des Rayons Restants (Hermann & Cie, Paris, 1938).

R. W. Wood, Physical Optics (The Macmillan Company, New York, 1934), p. 199.

See reference 4, p. 214.

Silver chloride sheets are provided by the Harshaw Chemical Company, Cleveland, Ohio.

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Figures (8)

F. 1
F. 1

Transmission as a function of wave-length and film reflectivity of an ideal Fabry-Perot filter operating in the first order.

F. 2
F. 2

Transmission as a function of wave-length and silver film reflectivity of a Fabry-Perot filter operating in the first order.

F. 3
F. 3

Refractive index in the infra-red of silver chloride.

F. 4
F. 4

Infra-red refractive index of sodium fluoride.

F. 5
F. 5

Sketch of infrared Frustrated Total Reflection filter. The rhomb has dimensions approximately 1 1 4 in . × 1 1 4 in . × 2 in.

F. 6
F. 6

Recorded transmission curve of the filter shown in Fig. 5. This curve was run on a Perkin-Elmer spectrometer with the source mirror covered with a half-inch wide slit.

F. 7
F. 7

Transmission of the filter shown in Fig. 5 in series with a twoplate silver chloride polarizer.

F. 8
F. 8

Wave-length of peak transmission of filter as a function of the angle of incidence. The upper curve is for the peak which is polarized in the plane of incidence. The lower curve is for the peak polarized at right angles to the plane of incidence.

Equations (11)

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I I 0 = t 2 t 2 + 4 r sin 2 δ ,
Γ = [ 2 d ( n 2 sin 2 θ ) 1 2 ] / λ ,
λ = ( 2 d / Γ ) ( n 2 sin 2 θ ) 1 2 .
λ 0 = ( 2 d / Γ ) n .
λ = ( λ 0 / n ) ( n 2 sin 2 θ ) 1 2 .
Θ = 2 sin 1 [ n ( λ 0 2 λ I / 2 2 λ 0 2 ) 1 2 ] ,
T = T N ( Θ / α ) ,
Δ λ = ( α / Θ ) Δ λ N ,
tan δ p 2 = ( sin 2 θ ( n 1 / n 0 ) 2 ) 1 2 ( n 1 / n 0 ) 2 cos θ ; tan δ s 2 = ( sin 2 θ ( n 1 / n 0 ) 2 ) 1 2 cos θ ,
λ 0 = 2 d n = 2 × 23 4 × 6500 × n n 6500 .
λ = 7.3 × n Nacl n AgCl [ ( n AgCl n Nacl ) 2 sin 2 60 ] 1 2 = 5.6 μ .