Abstract

The transmission characteristics of a polarization-maintaining optical-fiber ring resonator are examined. The resonator’s response is found to be strongly dependent on the differential phase delay between the fiber birefringence axes. Large cross talk of as much as 40% between the fiber modes and splitting of the resonance notch can occur, even for very good (better than −35-dB) isolation between the fiber polarization modes.

© 1989 Optical Society of America

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References

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  1. L. F. Stokes, M. Chodorow, H. J. Shaw, Opt. Lett. 7, 288 (1982).
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    [CrossRef]

1988 (1)

E. Shafir, A. Hardy, M. Tur, Electron. Lett. 24, 756 (1988).
[CrossRef]

1986 (2)

1982 (2)

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Figures (4)

Fig. 1
Fig. 1

Highly birefringent fiber ring resonator: s and f denote the slow and fast axes, respectively; the cross talk between the fiber axes in the coupler is described by an equivalent misalignment angle α.

Fig. 2
Fig. 2

Intensity transmission of the PMRR for an induced phase ramp in the ring. Angle ϕ equals (a) π, (b) 2, (c) close to 2, (d) intensity transmission with a cross polarizer at the output for ϕ = 2.

Fig. 3
Fig. 3

Theoretical transmission of the same resonator as in Fig. 2(b); the isolation level between the fiber polarization modes is −24 dB.

Fig. 4
Fig. 4

Level of cross coupling in a PMRR as a function of finesse for different values of isolation ratio in the coupler at ϕ = 2.

Equations (7)

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F = exp [ ( - α 0 + i β ) L ] × diag [ exp ( i Δ β L / 2 ) , exp ( - i Δ β L / 2 ) ] ,
C t = diag { [ ( 1 - γ s ) ( 1 - k s ) ] 1 / 2 , [ ( 1 - γ f ) ( 1 - k f ) ] 1 / 2 } ,
C c = diag { i [ ( 1 - γ s ) k s ] 1 / 2 , i [ ( 1 - γ f ) k f ] 1 / 2 } .
E 4 = { C t A + n = 0 C c F ( A - 1 C c F ) n A - 1 C t A } E 1 ,
A = [ cos α sin α - sin α cos α ] .
V 1 = [ 1 , { cos ( α ) exp ( i ϕ ) - exp [ i ( ϕ / 2 + θ ) ] } / sin ( α ) ] T ,
V 2 = [ 1 , { cos ( α ) exp ( i ϕ ) - exp [ i ( ϕ / 2 - θ ) ] } / sin ( α ) ] T ,

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