Abstract

A new type of a resonator defined by two or more mode-converting gratings in a waveguide is proposed and analyzed. It is shown that the proposed structure can exhibit narrow resonances similar to Fabry–Perot cavities but has an advantage of being a four-port device and thus is capable of serving as an add–drop filter.

© 2007 Optical Society of America

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References

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  1. R. Kashyap, Fiber Bragg Gratings (Academic, 1999).
  2. B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
    [CrossRef]
  3. M. W. Pruessner, T. H. Stievater, and W. S. Rabinovich, Opt. Lett. 32, 533 (2007).
    [CrossRef] [PubMed]
  4. F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
    [CrossRef]
  5. A. S. Kewitsch, G. A. Rakuljic, P. A. Willems, and A. Yariv, Opt. Lett. 23, 106 (1998).
    [CrossRef]
  6. K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.
  7. D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
    [CrossRef]
  8. S. Tomljenovic-Hanic and J. D. Love, Microwave Opt. Technol. Lett. 37, 163 (2003).
    [CrossRef]
  9. J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, Opt. Express 13, 4180 (2005).
    [CrossRef] [PubMed]
  10. W. K. Burns and F. Milton, IEEE J. Quantum Electron. 16, 446 (1980).
    [CrossRef]
  11. A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford, 1997), pp. 509-511.
  12. J. Stone and L. W. Stulz, Electron. Lett. 23, 781 (1987).
    [CrossRef]
  13. D. Sadot and E. Boimovich, IEEE Commun. Mag. 38, 382 (1995).

2007 (1)

2006 (1)

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

2005 (1)

2003 (1)

S. Tomljenovic-Hanic and J. D. Love, Microwave Opt. Technol. Lett. 37, 163 (2003).
[CrossRef]

2001 (1)

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

1999 (1)

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

1998 (1)

1995 (1)

D. Sadot and E. Boimovich, IEEE Commun. Mag. 38, 382 (1995).

1987 (1)

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

1980 (1)

W. K. Burns and F. Milton, IEEE J. Quantum Electron. 16, 446 (1980).
[CrossRef]

Boimovich, E.

D. Sadot and E. Boimovich, IEEE Commun. Mag. 38, 382 (1995).

Bruce, A. J.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Burns, W. K.

W. K. Burns and F. Milton, IEEE J. Quantum Electron. 16, 446 (1980).
[CrossRef]

Castro, J. M.

Chu, S. T.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Demarco, J.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Geraghty, D. F.

J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, Opt. Express 13, 4180 (2005).
[CrossRef] [PubMed]

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

Greiner, C. M.

Henry, C. H.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Honkanen, S.

J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, Opt. Express 13, 4180 (2005).
[CrossRef] [PubMed]

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

Iazikov, D.

Ippen, E.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Kashyap, R.

R. Kashyap, Fiber Bragg Gratings (Academic, 1999).

Kewitsch, A. S.

Kokubun, T.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Little, B. E.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Love, J. D.

S. Tomljenovic-Hanic and J. D. Love, Microwave Opt. Technol. Lett. 37, 163 (2003).
[CrossRef]

Madsen, K.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Milbrodt, M. A.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Milton, F.

W. K. Burns and F. Milton, IEEE J. Quantum Electron. 16, 446 (1980).
[CrossRef]

Morrell, M. M.

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

Mossberg, T. W.

O'Boyle, M.

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

Pan, W.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Peyghambariam, N.

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

Provenzano, D.

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

Pruessner, M. W.

Rabinovich, W. S.

Rakuljic, G. A.

Ripin, D.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Sadot, D.

D. Sadot and E. Boimovich, IEEE Commun. Mag. 38, 382 (1995).

Sekaric, L.

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

Stievater, T. H.

Stone, J.

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

Strasser, T. A.

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

Stulz, L. W.

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

Tomljenovic-Hanic, S.

S. Tomljenovic-Hanic and J. D. Love, Microwave Opt. Technol. Lett. 37, 163 (2003).
[CrossRef]

Vlasov, Y.

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

Willems, P. A.

Xia, F.

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

Yariv, A.

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

A. S. Kewitsch, G. A. Rakuljic, P. A. Willems, and A. Yariv, Opt. Lett. 23, 106 (1998).
[CrossRef]

A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford, 1997), pp. 509-511.

Appl. Phys. Lett. (1)

F. Xia, L. Sekaric, M. O'Boyle, and Y. Vlasov, Appl. Phys. Lett. 89, 041122 (2006).
[CrossRef]

Electron. Lett. (2)

D. F. Geraghty, D. Provenzano, M. M. Morrell, S. Honkanen, A. Yariv, and N. Peyghambariam, Electron. Lett. 37, 829 (2001).
[CrossRef]

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

IEEE Commun. Mag. (1)

D. Sadot and E. Boimovich, IEEE Commun. Mag. 38, 382 (1995).

IEEE J. Quantum Electron. (1)

W. K. Burns and F. Milton, IEEE J. Quantum Electron. 16, 446 (1980).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kokubun, and E. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

S. Tomljenovic-Hanic and J. D. Love, Microwave Opt. Technol. Lett. 37, 163 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Other (3)

A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford, 1997), pp. 509-511.

R. Kashyap, Fiber Bragg Gratings (Academic, 1999).

K. Madsen, T. A. Strasser, M. A. Milbrodt, C. H. Henry, A. J. Bruce, and J. Demarco, in Integrated Photonics Research, Vol. 4 of 1998 of OSA Technical Digest Series (Optical Society of America, 1998), pp. 102-104.

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Figures (3)

Fig. 1
Fig. 1

(a) Proposed MCC-based ADF. (b) Fields in the MCG. (c) Cross section of the ridge waveguide with an etched MCG.

Fig. 2
Fig. 2

(a) Coupling coefficients and (b) reflection and transmission of the MCG as a function of lateral shift of the center of the grating symmetry plane.

Fig. 3
Fig. 3

Reflection and transmission power spectra of the MCC-based ADF. (a) No fabrication error ( δ x = 0 ) ; (b) δ x = 50 nm , L = 13 μ m ; (c) δ x = 50 nm , L = 15 μ m .

Equations (2)

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κ 01 = κ 10 = 2 Δ n λ 0 h 0 h w 2 w 2 f 0 ( x , y ) S ( x ) f 1 ( x , y ) d x d y ,
( 1 r 01 2 e j ( φ 0 + φ 1 ) r 00 2 e 2 j φ 0 ) ( 1 r 01 2 e j ( φ 0 + φ 1 ) r 11 2 e 2 j φ 1 ) = 0

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