Abstract

A new birefringent filter composed of a series of retardation plates between a single pair of polarizers has been described by Solc. The filter is analyzed and compared with the Lyot filter. It is found that the Solc filter is inferior to the Lyot filter in the suppression of parasitic light in secondary maxima near the primary transmission bands, although its band width is slightly less, and its transparency is very much better if both filters use Polaroid film for polarizers.

© 1958 Optical Society of America

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References

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  1. I. Solc, Czechoslov. Cosopis pro Fysiku,  3, 366 (1953);Czechoslov. Cosopis pro Fysiku 4, 607, 669 (1954);Czechoslov. Cosopis pro Fysiku 5, 114 (1955).
  2. R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941);J. Opt. Soc. Am. 31, 500 (1941).
    [Crossref]
  3. B. Lyot, Ann. astrophys. 7(1), 2 (1944).
  4. J. W. Evans, J. Opt. Soc. Am. 39, 229 (1949).
    [Crossref]
  5. A. Dollfus, Rev. opt. 35, 625 (1956).

1956 (1)

A. Dollfus, Rev. opt. 35, 625 (1956).

1953 (1)

I. Solc, Czechoslov. Cosopis pro Fysiku,  3, 366 (1953);Czechoslov. Cosopis pro Fysiku 4, 607, 669 (1954);Czechoslov. Cosopis pro Fysiku 5, 114 (1955).

1949 (1)

1944 (1)

B. Lyot, Ann. astrophys. 7(1), 2 (1944).

1941 (1)

Dollfus, A.

A. Dollfus, Rev. opt. 35, 625 (1956).

Evans, J. W.

Jones, R. C.

Lyot, B.

B. Lyot, Ann. astrophys. 7(1), 2 (1944).

Solc, I.

I. Solc, Czechoslov. Cosopis pro Fysiku,  3, 366 (1953);Czechoslov. Cosopis pro Fysiku 4, 607, 669 (1954);Czechoslov. Cosopis pro Fysiku 5, 114 (1955).

Ann. astrophys. (1)

B. Lyot, Ann. astrophys. 7(1), 2 (1944).

Czechoslov. Cosopis pro Fysiku (1)

I. Solc, Czechoslov. Cosopis pro Fysiku,  3, 366 (1953);Czechoslov. Cosopis pro Fysiku 4, 607, 669 (1954);Czechoslov. Cosopis pro Fysiku 5, 114 (1955).

J. Opt. Soc. Am. (2)

Rev. opt. (1)

A. Dollfus, Rev. opt. 35, 625 (1956).

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Figures (5)

F. 1
F. 1

Section of a Solc filter, consisting of 16 retardation plates between a pair of polarizers, P.

F. 2
F. 2

Transmission curve of a Solc filter of 16 plates as a function of the retardation, γ, of a single plate.

F. 3
F. 3

Section of a Lyot filter of four birefringent elements, b1b4, sandwiched between polarizers, P.

F. 4
F. 4

Transmission curve of a Lyot filter of four elements as a function of the retardation, γ1, of the thinnest element.

F. 5
F. 5

Superposed transmission curves of a 16-plate Solc filter (solid curve) and a 4-element Lyot filter (dotted curve).

Equations (17)

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ω j = ( α / 2 ) + ( j 1 ) α ,
ω j = ( 1 ) j + 1 ( α / 2 ) .
0 = ( E x 0 E y 0 ) and n = ( E x n E y n ) .
( E x n E y n ) Fan = P x S ( α / 2 ) S ( π / 2 ) [ S ( α ) G ] n × S ( α ) P x ( E x 0 E y 0 ) ,
( E x n E y n ) Folded n even = ( 1 ) ( n / 2 ) P y S ( α / 2 ) [ S ( α ) G S ( α ) G ] ( n / 2 ) × S ( α ) P x ( E x 0 E y 0 ) ,
( E x n E y n ) Folded n odd = i ( 1 ) ( n 1 ) / 2 P y S ( α / 2 ) × G [ S ( α ) GS ( α ) G ] ( n 1 ) / 2 × S ( α ) P x ( E x 0 E y 0 ) .
S ( α ) = ( cos α sin α sin α cos α ) ,
G = ( e i γ 0 0 e i γ ) ,
P x = ( 1 0 0 0 ) and P y = ( 0 0 0 1 ) .
τ S = t S 2 [ sin n χ sin χ cos χ tan α ] 2 .
cos χ = cos γ cos α .
τ S m = t S 2 [ sin n ( 2 l + 1 ) α sin ( 2 l + 1 ) α cos ( 2 l + 1 ) α tan α ] 2 .
τ L = ( t L / 2 ) [ cos γ 1 cos 2 γ 1 cos 4 γ 1 cos 2 N 1 γ 1 ] 2 ,
τ L = t L 2 [ sin 2 N γ 1 2 N sin γ 1 ] 2 .
τ L m = t L 2 ( sin ( 2 l + 1 ) π 2 2 N sin π 2 ( 2 l + 1 ) / 2 N ) 2 .
τ S m τ L m = [ 2 N cos ( 2 l + 1 2 N ) ( π / 2 ) tan 1 2 N π 2 ] 2 .
( τ S m / τ L m ) = ( π / 2 ) 2 = 2.47 .