Abstract

We propose using a novel multifunction optical filter with a Michelson–Gires–Tournois interferometer (MGTI) for future smart wavelength-division-multiplexed network system applications. The MGTI filter is a typical Michelson interferometer in which one of its reflecting mirrors is replaced with a Gires–Tournois resonator. One unique feature of this device is that it can function as a channel-passing (CP), a channel-dropping (CD), or a wide-bandpass (BP) filter, depending on the interferometer arm-length difference. Other interesting features are that (1) the linewidths of both the CP and the CD filter are twice as narrow as that of a typical Fabry–Perot filter with similar parameters, (2) theoretical visibility is always unity regardless of the mirror reflectance value, and (3) the BP filter has an excellent boxlike response function. Numerical results showing these characteristics are presented.

© 1998 Optical Society of America

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  1. M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
    [CrossRef]
  2. G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
    [CrossRef]
  3. D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
    [CrossRef]
  4. O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
    [CrossRef]
  5. P. H. Lissberger and A. K. Roy, Electron. Lett. 21, 798 (1985).
    [CrossRef]
  6. M. Kuznetsov, J. Lightwave Technol. 12, 226 (1994).
    [CrossRef]
  7. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
    [CrossRef]
  8. P. Urquhart, J. Opt. Soc. Am. A 5, 803 (1988).
    [CrossRef]
  9. J. Stone and L. Stulz, Electron. Lett. 23, 781 (1987).
    [CrossRef]
  10. K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
    [CrossRef]
  11. F. Gires and P. Tournois, C. R. Acad. Sci. 258, 612 (1964).
  12. A. Yariv and P. Yeh, Optical Waves in Crystal (Wiley, New York, 1990), p. 219.

1997 (3)

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

1996 (1)

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

1995 (1)

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

1994 (1)

M. Kuznetsov, J. Lightwave Technol. 12, 226 (1994).
[CrossRef]

1990 (1)

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

1988 (1)

1987 (1)

J. Stone and L. Stulz, Electron. Lett. 23, 781 (1987).
[CrossRef]

1985 (1)

P. H. Lissberger and A. K. Roy, Electron. Lett. 21, 798 (1985).
[CrossRef]

1964 (1)

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 612 (1964).

Banerjee, D.

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Baran, J.

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

Bennion, I.

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

Borella, M.

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Cheung, K.

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

Chu, S. T.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Foresi, J.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Gires, F.

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 612 (1964).

Haus, H. A.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Inoue, Y.

O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
[CrossRef]

Ishida, O.

O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
[CrossRef]

Jinguji, K.

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

Johnson, J.

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

Jue, J.

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Kuznetsov, M.

M. Kuznetsov, J. Lightwave Technol. 12, 226 (1994).
[CrossRef]

Laine, J.-P.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Lissberger, P. H.

P. H. Lissberger and A. K. Roy, Electron. Lett. 21, 798 (1985).
[CrossRef]

Little, B. E.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Mukherjee, B.

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Ohmori, Y.

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

Okamoto, K.

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

Poolee, S.

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

Ramamurthy, B.

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Roy, A. K.

P. H. Lissberger and A. K. Roy, Electron. Lett. 21, 798 (1985).
[CrossRef]

Smith, D.

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

Stone, J.

J. Stone and L. Stulz, Electron. Lett. 23, 781 (1987).
[CrossRef]

Stulz, L.

J. Stone and L. Stulz, Electron. Lett. 23, 781 (1987).
[CrossRef]

Sugden, K.

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

Takahashi, H.

O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
[CrossRef]

Takiguchi, K.

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

Tournois, P.

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 612 (1964).

Town, G. E.

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

Urquhart, P.

William, J.

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystal (Wiley, New York, 1990), p. 219.

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystal (Wiley, New York, 1990), p. 219.

C. R. Acad. Sci. (1)

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 612 (1964).

Electron. Lett. (2)

J. Stone and L. Stulz, Electron. Lett. 23, 781 (1987).
[CrossRef]

P. H. Lissberger and A. K. Roy, Electron. Lett. 21, 798 (1985).
[CrossRef]

IEEE J. Sel. Topics Quantum Electron. (1)

K. Takiguchi, K. Jinguji, K. Okamoto, and Y. Ohmori, IEEE J. Sel. Topics Quantum Electron. 2, 270 (1996).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

G. E. Town, K. Sugden, J. William, I. Bennion, and S. Poolee, IEEE Photon. Technol. Lett. 7, 78 (1995).
[CrossRef]

J. Lightwave Technol. (3)

O. Ishida, H. Takahashi, and Y. Inoue, J. Lightwave Technol. 15, 321 (1997).
[CrossRef]

M. Kuznetsov, J. Lightwave Technol. 12, 226 (1994).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Sel. Areas Commun. (1)

D. Smith, J. Baran, J. Johnson, and K. Cheung, J. Sel. Areas Commun. 8, 1151 (1990).
[CrossRef]

Proc. IEEE (1)

M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, Proc. IEEE 85, 1274 (1997).
[CrossRef]

Other (1)

A. Yariv and P. Yeh, Optical Waves in Crystal (Wiley, New York, 1990), p. 219.

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic of the proposed multifunction optical filter. (b) The phase response of the GTR approaches zero as ρ increases, except at resonant frequencies.

Fig. 2
Fig. 2

Calculated transmitted intensities of the MGTI-based CP filter and the FPR filter for two values of ρ. The MGTI linewidth is at least twice as narrow as that of the FPR for ρ>0.8.

Fig. 3
Fig. 3

Calculated transmitted intensity of the MGTI filter when it functions as a CD filter for ρ=0.5, 0.9.

Fig. 4
Fig. 4

Calculated transmitted intensity and phase difference ΔΦ of the MGTI when it functions as a BP filter for three values of ρ.

Equations (4)

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

β expiΘ=ErefEinc=R+exp-i2θ1+R exp-i2θ,
ΘR,d=-2 tan-11-R1+Rtankd,
EtransEinc=-i sin2kdγ+ΘR,d2×exp-i2kL1+L2-ΘR,d2,
S=ΔνMGTIΔνFPR=tan-11-ρ1+ρcos-11-ρ22ρ.

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