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References

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  1. R. Crane, Appl. Opt. 8, 538 (1969).
  2. G. E. Sommargren, J. Opt. Soc. Am. 65, 960 (1975).
    [CrossRef]
  3. R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941).
    [CrossRef]

1975 (1)

1969 (1)

R. Crane, Appl. Opt. 8, 538 (1969).

1941 (1)

Crane, R.

R. Crane, Appl. Opt. 8, 538 (1969).

Jones, R. C.

Sommargren, G. E.

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Figures (1)

Fig. 1
Fig. 1

Typical interferometer configuration utilizing frequency shifter (see text for nomenclature). A Mach-Zehnder configuration is shown but may be adapted to other inteferometers such as the Twyman-Green.

Equations (9)

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X = [ 1 0 ] exp [ i ( ϕ 1 ω t ) ] ,
Q s X = [ 1 i i 1 ] [ 1 0 ] exp [ i ( ϕ 1 ω t ) ] = [ 1 i ] exp [ i ( ϕ 1 ω t ) ] .
H r Q s X = i [ cos 2 ω t sin 2 ω t sin 2 ω t cos 2 ω t ] [ 1 i ] exp [ i ( ϕ 1 ω t ) ] = i [ 1 i ] exp { i [ ϕ 1 ( ω + 2 ω ) t ] } ,
H s H r Q x X = i [ 1 0 0 1 ] ( i ) [ 1 i ] exp { i [ ϕ 1 ( ω + 2 ω ) t ] } = [ 1 i ] exp { i [ ϕ 1 ( ω + 2 ω ) t ] } .
H r H s H r Q s X = i [ cos 2 ω t sin 2 ω t sin 2 ω t cos 2 ω t ] ( 1 ) [ 1 i ] × exp { i [ ϕ 1 ( ω + 2 ω ) t ] } = i [ 1 i ] exp { i [ ϕ 1 ( ω + 4 ω ) t ] } .
A 1 ( t ) = L s H r · H s · H r · Q s · X = [ 1 0 0 0 ] i [ 1 i ] exp { i [ ϕ 1 ( ω + 4 ω ) t ] } = i [ 1 0 ] exp { i [ ϕ 1 ( ω + 4 ω ) t ] } ,
Y = [ 0 1 ] exp [ i ( ϕ 2 ω t ) ] ,
A 2 ( t ) = L s · H r · H s · H r · Q s · Y = [ 1 0 ] exp { i [ ϕ 2 ( ω 4 ω ) t ] } ,
I ( t ) = | A 1 ( t ) + A 2 ( t ) | 2 = 1 sin ( ϕ 2 ϕ 1 + 8 ω t ) .

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