Abstract

The depolarizing properties of a fiber ring structure have been analyzed, and the analytical solution to the device optimization has been found. The result proves that a tunable fiber ring depolarizer can completely depolarize light for any input state of polarization.

© 2001 Optical Society of America

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References

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  1. B. Hillerich, E. Weidel, “Polarization noise in single mode fibres and its reduction by depolarizers,” Opt. Quantum Electron. 15, 281–287 (1983).
    [CrossRef]
  2. J. S. Wang, J. R. Costelloe, R. H. Stolen, “Reduction of the degree of polarization of a laser diode with a fiber Lyot depolarizer,” IEEE Photon. Technol. Lett. 11, 1449–1451 (1999).
    [CrossRef]
  3. K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
    [CrossRef]
  4. B. Szafraniec, G. A. Sanders, “Theory of polarization evolution in interferometric fiber-optic depolarized gyros,” J. Lightwave Technol. 17, 579–590 (1999).
    [CrossRef]
  5. H. Lefévre, The Fiber-Optic Gyroscope (Artech House, Boston, Mass., 1993), pp. 73–91.
  6. P. Shen, J. C. Palais, “Passive single-mode fiber depolarizer,” Appl. Opt. 38, 1686–1691 (1999).
    [CrossRef]
  7. P. Shen, J. C. Palais, C. Lin, “Fiber recirculating delay-line tunable depolarizer,” Appl. Opt. 37, 443–448 (1998).
    [CrossRef]
  8. D. R. Lutz, “A passive fiber-optic depolarizer,” IEEE Photon. Technol. Lett. 5, 463–465 (1993).
    [CrossRef]
  9. W. K. Burns, “Degree of polarization in the Lyot depolarizer,” J. Lightwave Technol. 1, 475–479 (1983).
    [CrossRef]
  10. R. Ulrich, Fiber-Optic Rotation Sensors (Springer-Verlag, Berlin, 1982), pp. 52–77.
    [CrossRef]
  11. C.-L. Chen, W. K. Burns, “Polarization characteristics of single-mode fiber couplers,” IEEE J. Quantum Electron. 18, 1589–1600 (1982).
    [CrossRef]
  12. F. P. Kapron, N. F. Borrelli, “Birefringence in dielectric optical waveguides,” IEEE J. Quantum Electron. 8, 222–225 (1972).
    [CrossRef]
  13. M. Born, E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, 1980), pp. 544–555.
  14. D. S. Kliger, J. W. Lewis, C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic, San Diego, Calif., 1997), pp. 103–152.
  15. K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
    [CrossRef]
  16. F. Heismann, “Compact electro-optic polarization scramblers for optically amplified lightwave systems,” J. Lightwave Technol. 14, 1801–1814 (1996).
    [CrossRef]
  17. N. G. Walker, G. R. Walker, “Polarization control for coherent communications,” J. Lightwave Technol. 8, 438–458 (1990).
    [CrossRef]

1999 (3)

1998 (1)

1996 (1)

F. Heismann, “Compact electro-optic polarization scramblers for optically amplified lightwave systems,” J. Lightwave Technol. 14, 1801–1814 (1996).
[CrossRef]

1993 (1)

D. R. Lutz, “A passive fiber-optic depolarizer,” IEEE Photon. Technol. Lett. 5, 463–465 (1993).
[CrossRef]

1990 (1)

N. G. Walker, G. R. Walker, “Polarization control for coherent communications,” J. Lightwave Technol. 8, 438–458 (1990).
[CrossRef]

1986 (1)

K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
[CrossRef]

1983 (2)

B. Hillerich, E. Weidel, “Polarization noise in single mode fibres and its reduction by depolarizers,” Opt. Quantum Electron. 15, 281–287 (1983).
[CrossRef]

W. K. Burns, “Degree of polarization in the Lyot depolarizer,” J. Lightwave Technol. 1, 475–479 (1983).
[CrossRef]

1982 (1)

C.-L. Chen, W. K. Burns, “Polarization characteristics of single-mode fiber couplers,” IEEE J. Quantum Electron. 18, 1589–1600 (1982).
[CrossRef]

1981 (1)

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

1972 (1)

F. P. Kapron, N. F. Borrelli, “Birefringence in dielectric optical waveguides,” IEEE J. Quantum Electron. 8, 222–225 (1972).
[CrossRef]

Böhm, K.

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, 1980), pp. 544–555.

Borrelli, N. F.

F. P. Kapron, N. F. Borrelli, “Birefringence in dielectric optical waveguides,” IEEE J. Quantum Electron. 8, 222–225 (1972).
[CrossRef]

Burns, W. K.

W. K. Burns, “Degree of polarization in the Lyot depolarizer,” J. Lightwave Technol. 1, 475–479 (1983).
[CrossRef]

C.-L. Chen, W. K. Burns, “Polarization characteristics of single-mode fiber couplers,” IEEE J. Quantum Electron. 18, 1589–1600 (1982).
[CrossRef]

Chen, C.-L.

C.-L. Chen, W. K. Burns, “Polarization characteristics of single-mode fiber couplers,” IEEE J. Quantum Electron. 18, 1589–1600 (1982).
[CrossRef]

Costelloe, J. R.

J. S. Wang, J. R. Costelloe, R. H. Stolen, “Reduction of the degree of polarization of a laser diode with a fiber Lyot depolarizer,” IEEE Photon. Technol. Lett. 11, 1449–1451 (1999).
[CrossRef]

Heismann, F.

F. Heismann, “Compact electro-optic polarization scramblers for optically amplified lightwave systems,” J. Lightwave Technol. 14, 1801–1814 (1996).
[CrossRef]

Hillerich, B.

B. Hillerich, E. Weidel, “Polarization noise in single mode fibres and its reduction by depolarizers,” Opt. Quantum Electron. 15, 281–287 (1983).
[CrossRef]

Kapron, F. P.

F. P. Kapron, N. F. Borrelli, “Birefringence in dielectric optical waveguides,” IEEE J. Quantum Electron. 8, 222–225 (1972).
[CrossRef]

Kliger, D. S.

D. S. Kliger, J. W. Lewis, C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic, San Diego, Calif., 1997), pp. 103–152.

Lefévre, H.

H. Lefévre, The Fiber-Optic Gyroscope (Artech House, Boston, Mass., 1993), pp. 73–91.

Lewis, J. W.

D. S. Kliger, J. W. Lewis, C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic, San Diego, Calif., 1997), pp. 103–152.

Lin, C.

Lutz, D. R.

D. R. Lutz, “A passive fiber-optic depolarizer,” IEEE Photon. Technol. Lett. 5, 463–465 (1993).
[CrossRef]

Marten, P.

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

Noda, J.

K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
[CrossRef]

Okamoto, K.

K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
[CrossRef]

Palais, J. C.

Petermann, K.

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

Randall, C. E.

D. S. Kliger, J. W. Lewis, C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic, San Diego, Calif., 1997), pp. 103–152.

Sanders, G. A.

Shen, P.

Stolen, R. H.

J. S. Wang, J. R. Costelloe, R. H. Stolen, “Reduction of the degree of polarization of a laser diode with a fiber Lyot depolarizer,” IEEE Photon. Technol. Lett. 11, 1449–1451 (1999).
[CrossRef]

Szafraniec, B.

Takada, K.

K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
[CrossRef]

Ulrich, R.

R. Ulrich, Fiber-Optic Rotation Sensors (Springer-Verlag, Berlin, 1982), pp. 52–77.
[CrossRef]

Walker, G. R.

N. G. Walker, G. R. Walker, “Polarization control for coherent communications,” J. Lightwave Technol. 8, 438–458 (1990).
[CrossRef]

Walker, N. G.

N. G. Walker, G. R. Walker, “Polarization control for coherent communications,” J. Lightwave Technol. 8, 438–458 (1990).
[CrossRef]

Wang, J. S.

J. S. Wang, J. R. Costelloe, R. H. Stolen, “Reduction of the degree of polarization of a laser diode with a fiber Lyot depolarizer,” IEEE Photon. Technol. Lett. 11, 1449–1451 (1999).
[CrossRef]

Weidel, E.

B. Hillerich, E. Weidel, “Polarization noise in single mode fibres and its reduction by depolarizers,” Opt. Quantum Electron. 15, 281–287 (1983).
[CrossRef]

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, 1980), pp. 544–555.

Appl. Opt. (2)

Electron. Lett. (1)

K. Böhm, P. Marten, K. Petermann, E. Weidel, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352–353 (1981).
[CrossRef]

IEEE J. Quantum Electron. (2)

C.-L. Chen, W. K. Burns, “Polarization characteristics of single-mode fiber couplers,” IEEE J. Quantum Electron. 18, 1589–1600 (1982).
[CrossRef]

F. P. Kapron, N. F. Borrelli, “Birefringence in dielectric optical waveguides,” IEEE J. Quantum Electron. 8, 222–225 (1972).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

J. S. Wang, J. R. Costelloe, R. H. Stolen, “Reduction of the degree of polarization of a laser diode with a fiber Lyot depolarizer,” IEEE Photon. Technol. Lett. 11, 1449–1451 (1999).
[CrossRef]

D. R. Lutz, “A passive fiber-optic depolarizer,” IEEE Photon. Technol. Lett. 5, 463–465 (1993).
[CrossRef]

J. Lightwave Technol. (5)

W. K. Burns, “Degree of polarization in the Lyot depolarizer,” J. Lightwave Technol. 1, 475–479 (1983).
[CrossRef]

B. Szafraniec, G. A. Sanders, “Theory of polarization evolution in interferometric fiber-optic depolarized gyros,” J. Lightwave Technol. 17, 579–590 (1999).
[CrossRef]

K. Takada, K. Okamoto, J. Noda, “New fiber-optic depolarizer,” J. Lightwave Technol. 4, 213–219 (1986).
[CrossRef]

F. Heismann, “Compact electro-optic polarization scramblers for optically amplified lightwave systems,” J. Lightwave Technol. 14, 1801–1814 (1996).
[CrossRef]

N. G. Walker, G. R. Walker, “Polarization control for coherent communications,” J. Lightwave Technol. 8, 438–458 (1990).
[CrossRef]

Opt. Quantum Electron. (1)

B. Hillerich, E. Weidel, “Polarization noise in single mode fibres and its reduction by depolarizers,” Opt. Quantum Electron. 15, 281–287 (1983).
[CrossRef]

Other (4)

H. Lefévre, The Fiber-Optic Gyroscope (Artech House, Boston, Mass., 1993), pp. 73–91.

R. Ulrich, Fiber-Optic Rotation Sensors (Springer-Verlag, Berlin, 1982), pp. 52–77.
[CrossRef]

M. Born, E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, 1980), pp. 544–555.

D. S. Kliger, J. W. Lewis, C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic, San Diego, Calif., 1997), pp. 103–152.

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Figures (5)

Fig. 1
Fig. 1

Tunable fiber ring depolarizer.

Fig. 2
Fig. 2

Optimum DC splitting ratio versus DC excess loss L e . The splice loss is L s .

Fig. 3
Fig. 3

Mapping of linear and circular retardation onto the Poincaré sphere.

Fig. 4
Fig. 4

Transformation of the SOP S into its orthogonal sphere S by use of linear and circular retardation (first solution).

Fig. 5
Fig. 5

Transformation of the SOP S into its orthogonal sphere S by use of linear and circular retardation (second solution).

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

Kd=Le-κ00Le-κ,  Kc=iκ00iκ
Tδl, θ, δc=Lsexp-iβωLT11T12T21T22,
T11=T22*=cosδl/2cosδc/2+i sinδl/2cos2θ-δc/2,T12=-T21*=cosδl/2sinδc/2+i sinδl/2sin2θ-δc/2,
H=Kd+KcUˆ-TKd-1TKc,
E0t=E0xE0yatexpiω0t,
J1=Le-κJ0+κ2n=1Le-κn-1LsnJn,
Jxxn=|An|2J0xx+2 ReAnBn*J0xy+|Bn|2J0yy,Jxyn=-AnBnJ0xx+An2J0xy-Bn2J0xy*+AnBnJ0yy,Jyxn=Jxyn*,Jyyn=|Bn|2J0xx-2 ReAnBn*J0xy+|An|2J0yy,
S=cos χ cos ψ+i sin χ sin ψcos χ sin ψ-i sin χ cos ψ,
TSS=0,
P2/P3opt=L3-κoptκopt=11+1/LeLs.
δl=π, 4θ-δc=4ψ-π
δl=2 arctantan2χsin2ψ-2θ,  δc=π
H11ω=Le-κ-κ n=1 Lsn/2Le-κn-1/2An×exp-inβωL,H12ω=-κ n=1 Lsn/2Le-κn-1/2Bn×exp-inβωL,H21ω=κ n=1 Lsn/2Le-κn-1/2Bn* exp-inβωL,H22ω=Le-κ-κ n=1 Lsn/2Le-κn-1/2An*×exp-inβωL,
An=T11*-α-α2-12α2-1α-α2-1n-T11*-α+α2-12α2-1α+α2-1n,Bn=T122α2-1α+α2-1n-α-α2-1n,a=ReT11.
E1xt=Le-κ E0xatexpiω0t-κ×n=1Le-κn-1/2Lsn/2AnE0x+BnE0y×at-nβ0Lexpiω0t-nβ0L,E1yt=Le-κ E0yatexpiω0t-κ×n=1Le-κn-1/2Lsn/2-Bn*E0x+An*E0y×at-nβ0Lexpiω0t-nβ0L,

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