Abstract

Birefringent chain filters were first described 10 years ago. Since then such filters have undergone considerable development, and experience has been gained with their use. This article includes only a brief review of previous work, which is supplemented with new information.

© 1965 Optical Society of America

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References

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  1. I. Šolc, Česk. Časopis Fys. 3, 366 (1953).
  2. I. Šolc, Česk. Časopis Fys. 10, 16 (1960).
  3. J. W. Evans, J. Opt. Soc. Am. 48, 142 (1958).
    [Crossref]
  4. Hoien Hsü, Liang Yüng-Kang, and M. Richartz, J. Opt. Soc. Am. 37, 99 (1947).
    [Crossref]
  5. I. Šolc, Czech. J. Phys. 9, 237 (1959).
    [Crossref]
  6. B. Lyot, Ann. Astrophys. 7, 31 (1944).
  7. J. W. Evans, J. Opt. Soc. Am. 39, 229 (1949).
    [Crossref]
  8. J. W. Evans, Appl. Opt. 2, 193 (1963).
    [Crossref]
  9. C. J. Koester, J. Opt. Soc. Am. 49, 405 (1959).
    [Crossref]

1963 (1)

1960 (1)

I. Šolc, Česk. Časopis Fys. 10, 16 (1960).

1959 (2)

1958 (1)

1953 (1)

I. Šolc, Česk. Časopis Fys. 3, 366 (1953).

1949 (1)

1947 (1)

1944 (1)

B. Lyot, Ann. Astrophys. 7, 31 (1944).

Ann. Astrophys. (1)

B. Lyot, Ann. Astrophys. 7, 31 (1944).

Appl. Opt. (1)

Cesk. Casopis Fys. (2)

I. Šolc, Česk. Časopis Fys. 3, 366 (1953).

I. Šolc, Česk. Časopis Fys. 10, 16 (1960).

Czech. J. Phys. (1)

I. Šolc, Czech. J. Phys. 9, 237 (1959).
[Crossref]

J. Opt. Soc. Am. (4)

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Figures (2)

F. 1
F. 1

Variation of intensity of 7-plate chain filter with Ω = 31.5° compared with 7-plate chain filter with Ω = 45° (narrower principal maximum, but greater neighboring maximum at γ = 57°).

F. 2
F. 2

Tuning of chain filter by inclination. Left: inclination perpendicular to optical axis. Right: inclination parallel to optical axis.

Tables (1)

Tables Icon

Table I Coefficients of Eq. (6) for filters containing as many as 9 plates.

Equations (20)

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ρ = 45 ° / N .
Δ = d · D .
ϑ = 2 γ = ( 2 π / λ ) · Δ .
Δ = K · λ ,
I 1 = sin 2 γ I 2 = sin 4 γ I 3 = sin 6 γ sin 4 γ cos 2 γ + 0.25 sin 2 γ cos 4 γ I 4 = sin 8 γ 2.818 sin 6 γ cos 2 γ + 2 sin 4 γ cos 4 γ I 5 = sin 10 γ 5.472 sin 8 γ cos 2 γ + 8.104 sin 6 γ cos 4 γ 1.691 sin 4 cos 6 γ + 0.095 sin 2 γ cos 8 γ .
I 1 = cos 2 γ I 2 = cos 4 γ I 3 = cos 6 γ cos 4 γ sin 2 γ + 0.25 cos 2 γ sin 4 γ I 4 = cos 8 γ 2.818 cos 6 γ sin 2 γ + 2 cos 4 γ sin 4 γ I 5 = cos 10 γ 5.472 cos 8 γ sin 2 γ + 8.104 cos 6 γ sin 4 γ 1.691 cos 4 sin 6 γ + 0.095 cos 2 γ sin 8 γ .
Δ = K · λ ,
i = 1 N | P i | = 45 0 .
ρ 1 = 4.5 ° , ρ 2 = 6.0 ° , ρ 3 = 7.5 ° , ρ 4 = 9 ° , ρ 5 = 7.5 ° , ρ 6 = 6 ° , ρ 7 = 4.5 ° .
I 7 = sin 14 γ 9.428 sin 12 γ cos 2 γ + 27.924 sin 10 γ cos 4 γ 27.092 sin 8 γ cos 6 γ + 9.127 sin 6 γ cos 8 γ 0.012 sin 2 γ cos 12 γ .
ρ 1 = 4.5 ° , ρ 2 = 15 ° , ρ 3 = 28.5 ° , ρ 4 = 45 ° , ρ 5 = 61.5 ° , ρ 6 = 75 ° , ρ 7 = 85.5 ° .
I 7 = cos 14 γ 9.428 cos 12 γ sin 2 γ + 27.924 cos 10 γ sin 4 γ 27.092 cos 8 γ sin 6 γ + 9.127 cos 6 γ sin 8 γ 0.012 cos 2 γ sin 12 γ .
Δ λ ( λ / 2 K · N ) · H .
λ φ = ( d · D / K ) · [ n / ( n 2 sin 2 φ ) 1 2 ] .
λ φ = ( d · D / K ) · [ ( n 2 sin 2 φ ) 1 2 / n ] .
λ φ = λ 0 · [ n / ( n 2 sin 2 φ ) 1 2 ] ,
λ φ = λ 0 · [ ( n 2 sin 2 φ ) 1 2 / n ] .
λ φ λ 0 [ 1 ( φ 2 / 2 n 2 ) ] .
( λ 0 / 20 K · N ) · H = λ 0 · ( φ 2 / 2 n 2 ) .
φ n · [ H / ( 10 K · N ) ] 1 2 .