Abstract

The effect of the polarization rotation induced by curved waveguides on the spectral behavior of phase shifter ring resonators is investigated both theoretically and experimentally. At resonance the polarization rotation that takes place in curved waveguides is strongly enhanced. The effect can be detrimental, or it can be exploited for new devices. The ring vectorial transfer function is derived, together with the conditions for the total conversion of TE polarization into TM polarization. These conditions are verified experimentally.

© 2004 Optical Society of America

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References

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  1. B. E. Little and S. T. Chu, IEEE Photon. Technol. Lett. 12, 401 (2000).
    [CrossRef]
  2. M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).
  3. S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
    [CrossRef]
  4. N. Somasiri and B. M. A. Rahman, J. Lightwave Technol. 21, 54 (2003).
    [CrossRef]
  5. W. W. Lui, T. Hirono, K. Yokoyama, and W. Huang, J. Lightwave Technol. 16, 929 (1998).
    [CrossRef]
  6. C. K. Madsen and J. H. Zhao, in Optical Filter Design and Analysis (Wiley, New York, 1999).
    [CrossRef]
  7. A. Melloni, R. Costa, P. Monguzzi, and M. Martinelli, Opt. Lett. 28, 1567 (2003).
    [CrossRef] [PubMed]

2003 (2)

2001 (1)

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

2000 (1)

B. E. Little and S. T. Chu, IEEE Photon. Technol. Lett. 12, 401 (2000).
[CrossRef]

1998 (1)

Belardini, A.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

Chu, S. T.

B. E. Little and S. T. Chu, IEEE Photon. Technol. Lett. 12, 401 (2000).
[CrossRef]

Costa, R.

Driessen, A.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

El-Mikati, H. A.

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

Geuzebroek, D. H.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

Grattan, K. T. V.

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

Hirono, T.

Huang, W.

Klein, E. J.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

Larciprete, M. C.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

Little, B. E.

B. E. Little and S. T. Chu, IEEE Photon. Technol. Lett. 12, 401 (2000).
[CrossRef]

Lui, W. W.

Madsen, C. K.

C. K. Madsen and J. H. Zhao, in Optical Filter Design and Analysis (Wiley, New York, 1999).
[CrossRef]

Martinelli, M.

Melloni, A.

Michelotti, F.

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

Monguzzi, P.

Obayya, S. S. A.

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

Rahman, B. M. A.

N. Somasiri and B. M. A. Rahman, J. Lightwave Technol. 21, 54 (2003).
[CrossRef]

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

Somasiri, N.

Yokoyama, K.

Zhao, J. H.

C. K. Madsen and J. H. Zhao, in Optical Filter Design and Analysis (Wiley, New York, 1999).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

B. E. Little and S. T. Chu, IEEE Photon. Technol. Lett. 12, 401 (2000).
[CrossRef]

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, IEEE Photon. Technol. Lett. 13, 681 (2001).
[CrossRef]

J. Lightwave Technol. (2)

Opt. Lett. (1)

Other (2)

C. K. Madsen and J. H. Zhao, in Optical Filter Design and Analysis (Wiley, New York, 1999).
[CrossRef]

M. C. Larciprete, E. J. Klein, A. Belardini, D. H. Geuzebroek, A. Driessen, and F. Michelotti, in Micro-resonators as Building Block for VLSI Photonics, M. Bertolotti, A. Driessen, and F. Michelotti, eds. (American Institute of Physics, New York, 2004).

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Figures (4)

Fig. 1
Fig. 1

(a) Single-ring phase shifter. (b) Loci of poles and zeros of Eq. (2) for a phase shifter with small losses and Δβ=0.

Fig. 2
Fig. 2

Hee2 (solid curve) and Hem2 (dashed curve) of lossless phase shifters with t2=0.5 and Δβ=0 for three values of ϕ. ϕcr=0.34.

Fig. 3
Fig. 3

Hee2 and Hem2 of phase shifters with t2=0.3, γ=0.25 dB/turn, a FSR of 100 GHz, birefringence of 10-4 for three values of polarization coupling.

Fig. 4
Fig. 4

Comparison between measured (solid curve) and simulated (dashed curve) Hee2 and Hem2 of phase shifters with a FSR of (a) 100 GHz and (b) 50 GHz. The position of the resonances in the absence of polarization coupling is shown.

Equations (4)

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

Tb=z-1cos ϕ-jR sin ϕ-jS sin ϕ-jS sin ϕcos ϕ+jR sin ϕ,
H mmee=rz-2-1+r2z-1 cos ϕ±jRt2z-1 sin ϕ+r1+r2z-2-2rz-1 cos ϕ,
H meem=jSt2z-1 sin ϕ1+r2z-2-2rz-1 cos ϕ.
cos ϕcr=r1+γ2γ1+r2.

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