Abstract

We present a design method and numerical results describing the construction of distributed feedback grating filters that support discrete combs of transmission resonances. These filter designs define open superstructure grating resonators with transmission channels that can be placed at predetermined frequencies, such as those defined by the wavelength division multiplexing grid or by a secondary frequency comb source. Focusing on a specific example with 40 GHz channel spacing, we optimize an active structure that defines three low-threshold lasing modes. How our design approach relates to filter synthesis techniques based on cascaded grating resonators is also discussed.

© 2014 Optical Society of America

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  1. B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).
  2. A. W. Fang, E. Lively, Y.-H. Kuo, D. Liang, and J. E. Bowers, Opt. Express 16, 4413 (2008).
    [CrossRef]
  3. O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
    [CrossRef]
  4. A. W. Fang, B. R. Koch, K.-G. Gan, H. Park, R. Jones, O. Cohen, M. Paniccia, D. J. Blumenthal, and J. E. Bowers, Opt. Express 16, 1393 (2008).
    [CrossRef]
  5. L. Agazzi, J. D. B. Bradley, M. Dijkstra, F. Ay, G. Roelkens, R. Baets, K. Worhoff, and M. Pollnau, Opt. Express 18, 27703 (2010).
    [CrossRef]
  6. H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).
  7. J. Kim and P. J. Delfyett, Electron. Lett. 40, 1182 (2004).
    [CrossRef]
  8. T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).
  9. D. V. Strekalov and N. Yu, Phys. Rev. A 79, 041805 (2009).
    [CrossRef]
  10. N. A. Cholan, M. H. Al-Mansoori, A. S. M. Noor, A. Ismail, and M. A. Mahdi, Opt. Express 21, 6131 (2013).
    [CrossRef]
  11. M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
    [CrossRef]
  12. A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).
  13. S. B. Papp, P. Del’Haye, and S. A. Diddams, “Parametric seeding of a microresonator optical frequency comb,” arXiv:1305.3262 (2013).
  14. S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).
  15. D. Bitauld, S. Osborne, and S. O’Brien, Opt. Express 19, 13989 (2011).
    [CrossRef]
  16. D. Bitauld, S. Osborne, and S. O’Brien, Opt. Lett. 36, 2985 (2011).
    [CrossRef]
  17. D. Bitauld, S. Osborne, and S. O’Brien, Opt. Lett. 35, 2200 (2010).
    [CrossRef]
  18. X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).
  19. H.-C. Kim, K. Ikeda, and Y. Fainman, Opt. Lett. 32, 539 (2007).
    [CrossRef]
  20. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
  21. H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).
    [CrossRef]
  22. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
    [CrossRef]

2013 (2)

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

N. A. Cholan, M. H. Al-Mansoori, A. S. M. Noor, A. Ismail, and M. A. Mahdi, Opt. Express 21, 6131 (2013).
[CrossRef]

2012 (1)

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

2011 (3)

2010 (4)

D. Bitauld, S. Osborne, and S. O’Brien, Opt. Lett. 35, 2200 (2010).
[CrossRef]

L. Agazzi, J. D. B. Bradley, M. Dijkstra, F. Ay, G. Roelkens, R. Baets, K. Worhoff, and M. Pollnau, Opt. Express 18, 27703 (2010).
[CrossRef]

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

2009 (3)

D. V. Strekalov and N. Yu, Phys. Rev. A 79, 041805 (2009).
[CrossRef]

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

2008 (2)

2007 (1)

2004 (1)

J. Kim and P. J. Delfyett, Electron. Lett. 40, 1182 (2004).
[CrossRef]

1997 (1)

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

1992 (1)

H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).
[CrossRef]

Agazzi, L.

Al-Mansoori, M. H.

Amann, A.

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

Ay, F.

Baets, R.

Barry, L. P.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Bitauld, D.

Blumenthal, D. J.

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

A. W. Fang, B. R. Koch, K.-G. Gan, H. Park, R. Jones, O. Cohen, M. Paniccia, D. J. Blumenthal, and J. E. Bowers, Opt. Express 16, 1393 (2008).
[CrossRef]

Bondarenko, O.

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

Bowers, J. E.

Bradley, J. D. B.

Byun, H.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Cholan, N. A.

Chrostowski, L.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Chu, S. T.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

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

Cohen, O.

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

A. W. Fang, B. R. Koch, K.-G. Gan, H. Park, R. Jones, O. Cohen, M. Paniccia, D. J. Blumenthal, and J. E. Bowers, Opt. Express 16, 1393 (2008).
[CrossRef]

Del’Haye, P.

S. B. Papp, P. Del’Haye, and S. A. Diddams, “Parametric seeding of a microresonator optical frequency comb,” arXiv:1305.3262 (2013).

Delfyett, P. J.

J. Kim and P. J. Delfyett, Electron. Lett. 40, 1182 (2004).
[CrossRef]

Diddams, S. A.

S. B. Papp, P. Del’Haye, and S. A. Diddams, “Parametric seeding of a microresonator optical frequency comb,” arXiv:1305.3262 (2013).

Dijkstra, M.

Fainman, Y.

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

H.-C. Kim, K. Ikeda, and Y. Fainman, Opt. Lett. 32, 539 (2007).
[CrossRef]

Fang, A. W.

Foresi, J.

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

Frolov, S.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Gaeta, A. L.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Gan, K.-G.

Gu, Q.

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

Habruseva, T.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Hanjani, A.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

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]

H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).
[CrossRef]

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

Hegarty, S. P.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Huyet, G.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Ikeda, K.

Ippen, E. P.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Ismail, A.

Jaeger, N. A. F.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Johnson, A. R.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Jones, R.

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

A. W. Fang, B. R. Koch, K.-G. Gan, H. Park, R. Jones, O. Cohen, M. Paniccia, D. J. Blumenthal, and J. E. Bowers, Opt. Express 16, 1393 (2008).
[CrossRef]

Kartner, F. X.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Kelly, B.

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

Kim, H.-C.

Kim, J.

J. Kim and P. J. Delfyett, Electron. Lett. 40, 1182 (2004).
[CrossRef]

Koch, B. R.

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

A. W. Fang, B. R. Koch, K.-G. Gan, H. Park, R. Jones, O. Cohen, M. Paniccia, D. J. Blumenthal, and J. E. Bowers, Opt. Express 16, 1393 (2008).
[CrossRef]

Kuo, Y.-H.

Lai, Y.

H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).
[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]

Lamont, M. R. E.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Levy, J. S.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Liang, D.

Lipson, M.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Little, B. E.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

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

Lively, E.

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

A. W. Fang, E. Lively, Y.-H. Kuo, D. Liang, and J. E. Bowers, Opt. Express 16, 4413 (2008).
[CrossRef]

Mahdi, M. A.

Morandotti, R.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Moss, D. J.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Noor, A. S. M.

O’Brien, S.

O’Donoghue, S.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

O’Gorman, J.

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

Okawachi, Y.

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

Osborne, S.

Paniccia, M.

Papp, S. B.

S. B. Papp, P. Del’Haye, and S. A. Diddams, “Parametric seeding of a microresonator optical frequency comb,” arXiv:1305.3262 (2013).

Park, H.

Park, Y.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Pasquazi, A.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Peccianti, M.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Phelan, R.

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

Pollnau, M.

Pudo, D.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Rachinskii, D.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Rebrova, N.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Reid, D. A.

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

Roelkens, G.

Shi, W.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Shmulovich, J.

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

Simic, A.

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

Slutsky, B.

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

Strekalov, D. V.

D. V. Strekalov and N. Yu, Phys. Rev. A 79, 041805 (2009).
[CrossRef]

Vafaei, R.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Wang, X.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Worhoff, K.

Yu, N.

D. V. Strekalov and N. Yu, Phys. Rev. A 79, 041805 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

O. Bondarenko, Q. Gu, A. Simic, B. Slutsky, and Y. Fainman, Appl. Phys. Lett. 103, 043105 (2013).
[CrossRef]

Electron. Lett. (1)

J. Kim and P. J. Delfyett, Electron. Lett. 40, 1182 (2004).
[CrossRef]

IEEE J. Quantum Electron. (1)

H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

H. Byun, D. Pudo, S. Frolov, A. Hanjani, J. Shmulovich, E. P. Ippen, and F. X. Kartner, IEEE Photon. Technol. Lett. 21, 3763 (2009).

IEEE Photonics Technol. Lett. (1)

T. Habruseva, S. O’Donoghue, N. Rebrova, D. A. Reid, L. P. Barry, D. Rachinskii, G. Huyet, and S. P. Hegarty, IEEE Photonics Technol. Lett. 22, 359 (2010).

IEEE Trans. Microwave Theory Tech. (1)

S. O’Brien, S. Osborne, D. Bitauld, A. Amann, R. Phelan, B. Kelly, and J. O’Gorman, IEEE Trans. Microwave Theory Tech. 58, 3083 (2010).

J. Lightwave Technol. (1)

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

Lasers Photonics Rev. (1)

B. R. Koch, A. W. Fang, E. Lively, R. Jones, O. Cohen, D. J. Blumenthal, and J. E. Bowers, Lasers Photonics Rev. 3, 355 (2009).

Nat. Commun. (1)

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Nat. Commun. 3, 765 (2012).
[CrossRef]

Opt. Express (5)

Opt. Lett. (3)

Photon. Technol. Lett. (1)

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, Photon. Technol. Lett. 23, 290 (2011).

Phys. Rev. A (1)

D. V. Strekalov and N. Yu, Phys. Rev. A 79, 041805 (2009).
[CrossRef]

Other (3)

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

A. R. Johnson, Y. Okawachi, M. R. E. Lamont, J. S. Levy, M. Lipson, and A. L. Gaeta, “Microresonator-based comb generation without an external laser source,” arXiv:1305.1901 (2013).

S. B. Papp, P. Del’Haye, and S. A. Diddams, “Parametric seeding of a microresonator optical frequency comb,” arXiv:1305.3262 (2013).

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