Abstract

The nonlinear propagation of optical pulses in dielectric waveguides and resonators induces a wide range of remarkable interactions. One example is dispersive-wave generation, the optical analog of Cherenkov radiation. These waves play an essential role in the fiber-optic spectral broadeners used in spectroscopy and metrology. Dispersive waves form when a soliton pulse begins to radiate power as a result of higher-order dispersion. Recently, dispersive-wave generation in microcavities has been reported by phase matching the waves to dissipative Kerr solitons. Here, it is shown that spatial mode interactions within a microcavity can be used to induce dispersive waves. The soliton self-frequency shift is also shown to enable fine tuning control of the dispersive-wave frequency. Both this mechanism and spatial mode interactions allow spectral control of these important waves in microresonators.

© 2016 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Higher order mode suppression in high-Q anomalous dispersion SiN microresonators for temporal dissipative Kerr soliton formation

A. Kordts, M. H. P. Pfeiffer, H. Guo, V. Brasch, and T. J. Kippenberg
Opt. Lett. 41(3) 452-455 (2016)

Investigation of mode coupling in normal-dispersion silicon nitride microresonators for Kerr frequency comb generation

Yang Liu, Yi Xuan, Xiaoxiao Xue, Pei-Hsun Wang, Steven Chen, Andrew J. Metcalf, Jian Wang, Daniel E. Leaird, Minghao Qi, and Andrew M. Weiner
Optica 1(3) 137-144 (2014)

Optical Cherenkov radiation in overmoded microresonators

Andrey B. Matsko, Wei Liang, Anatoliy A. Savchenkov, Danny Eliyahu, and Lute Maleki
Opt. Lett. 41(13) 2907-2910 (2016)

References

  • View by:
  • |
  • |
  • |

  1. P. Wai, C. R. Menyuk, Y. Lee, and H. Chen, Opt. Lett. 11, 464 (1986).
    [Crossref]
  2. N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
    [Crossref]
  3. P. A. Cherenkov, Dokl. Akad. Nauk SSSR 2, 451 (1934).
  4. J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
    [Crossref]
  5. V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
    [Crossref]
  6. V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).
  7. Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.
  8. J. Cheng, M. E. Pedersen, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, Opt. Lett. 37, 4410 (2012).
    [Crossref]
  9. G. Manili, A. Tonello, D. Modotto, M. Andreana, V. Couderc, U. Minoni, and S. Wabnitz, Opt. Lett. 37, 4101 (2012).
    [Crossref]
  10. D. Modotto, M. Andreana, K. Krupa, G. Manili, U. Minoni, A. Tonello, V. Couderc, A. Barthélémy, A. Labruyère, B. M. Shalaby, P. Leproux, S. Wabnitz, and A. B. Aceves, J. Opt. Soc. Am. B 32, 1676 (2015).
    [Crossref]
  11. T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
    [Crossref]
  12. T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
    [Crossref]
  13. X. Yi, Q.-F. Yang, K. Y. Yang, M.-G. Suh, and K. Vahala, Optica 2, 1078 (2015).
  14. P.-H. Wang, J. A. Jaramillo-Villegas, Y. Xuan, X. Xue, C. Bao, D. E. Leaird, M. Qi, and A. M. Weiner, Opt. Express 24, 10890 (2016).
    [Crossref]
  15. C. Joshi, J. K. Jang, K. Luke, X. Ji, S. A. Miller, A. Klenner, Y. Okawachi, M. Lipson, and A. L. Gaeta, Opt. Lett. 41, 2565 (2016).
    [Crossref]
  16. C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
    [Crossref]
  17. M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
    [Crossref]
  18. X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 3419 (2016).
    [Crossref]
  19. H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
    [Crossref]
  20. H. A. Haus and W. P. Huang, Proc. IEEE 79, 1505 (1991).
    [Crossref]
  21. J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006).
    [Crossref]
  22. Y. Liu, Y. Xuan, X. Xue, P.-H. Wang, S. Chen, A. J. Metcalf, J. Wang, D. E. Leaird, M. Qi, and A. M. Weiner, Optica 1, 137 (2014).
  23. F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
    [Crossref]
  24. A. Ankiewicz and N. Akhmediev, Dissipative Solitons: From Optics to Biology and Medicine (Springer, 2008).
  25. X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 2037 (2016).
    [Crossref]
  26. A. B. Matsko and L. Maleki, Opt. Express 21, 28862 (2013).
    [Crossref]
  27. J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, Nat. Commun. 6, 7370 (2015).
    [Crossref]
  28. P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
    [Crossref]
  29. J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Opt. Express 20, 26337 (2012).
    [Crossref]
  30. K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
    [Crossref]
  31. A. B. Matsko, W. Liang, A. A. Savchenkov, D. Eliyahu, and L. Maleki, Opt. Lett. 41, 2907 (2016).
    [Crossref]

2016 (8)

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 3419 (2016).
[Crossref]

P.-H. Wang, J. A. Jaramillo-Villegas, Y. Xuan, X. Xue, C. Bao, D. E. Leaird, M. Qi, and A. M. Weiner, Opt. Express 24, 10890 (2016).
[Crossref]

C. Joshi, J. K. Jang, K. Luke, X. Ji, S. A. Miller, A. Klenner, Y. Okawachi, M. Lipson, and A. L. Gaeta, Opt. Lett. 41, 2565 (2016).
[Crossref]

X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 2037 (2016).
[Crossref]

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

A. B. Matsko, W. Liang, A. A. Savchenkov, D. Eliyahu, and L. Maleki, Opt. Lett. 41, 2907 (2016).
[Crossref]

2015 (4)

2014 (2)

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

Y. Liu, Y. Xuan, X. Xue, P.-H. Wang, S. Chen, A. J. Metcalf, J. Wang, D. E. Leaird, M. Qi, and A. M. Weiner, Optica 1, 137 (2014).

2013 (2)

A. B. Matsko and L. Maleki, Opt. Express 21, 28862 (2013).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

2012 (4)

2010 (1)

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

2008 (1)

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

2006 (2)

J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006).
[Crossref]

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[Crossref]

1995 (1)

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[Crossref]

1991 (1)

H. A. Haus and W. P. Huang, Proc. IEEE 79, 1505 (1991).
[Crossref]

1986 (1)

1934 (1)

P. A. Cherenkov, Dokl. Akad. Nauk SSSR 2, 451 (1934).

Aceves, A. B.

Akhmediev, N.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[Crossref]

A. Ankiewicz and N. Akhmediev, Dissipative Solitons: From Optics to Biology and Medicine (Springer, 2008).

Andreana, M.

Ankiewicz, A.

A. Ankiewicz and N. Akhmediev, Dissipative Solitons: From Optics to Biology and Medicine (Springer, 2008).

Arcizet, O.

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

Bao, C.

Barthélémy, A.

Beha, K.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

Brasch, V.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Briles, T. C.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Charan, K.

Chen, H.

Chen, S.

Chen, T.

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Cheng, J.

Cherenkov, P. A.

P. A. Cherenkov, Dokl. Akad. Nauk SSSR 2, 451 (1934).

Coen, S.

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, Nat. Commun. 6, 7370 (2015).
[Crossref]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[Crossref]

Cole, D. C.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

Couderc, V.

Del’Haye, P.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

Diddams, S.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Diddams, S. A.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

Dudley, J. M.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[Crossref]

Eliyahu, D.

Emplit, P.

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

Erkintalo, M.

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, Nat. Commun. 6, 7370 (2015).
[Crossref]

Gaeta, A. L.

Geiselmann, M.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Genty, G.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[Crossref]

Gorbach, A. V.

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

Gorodetsky, M.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Gorza, S.-P.

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

Grüner-Nielsen, L.

Guo, H.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

Haelterman, M.

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

Haus, H. A.

H. A. Haus and W. P. Huang, Proc. IEEE 79, 1505 (1991).
[Crossref]

Herr, T.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Holzwarth, R.

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

Huang, W. P.

H. A. Haus and W. P. Huang, Proc. IEEE 79, 1505 (1991).
[Crossref]

Ilic, R.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Jakobsen, D.

Jang, J. K.

Jaramillo-Villegas, J. A.

Jeon, S.

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Ji, X.

Joshi, C.

Jost, J.

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Jost, J. D.

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Karlsson, M.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[Crossref]

Karpov, M.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

Kippenberg, T.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Kippenberg, T. J.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Klenner, A.

Kockaert, P.

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

Kondratiev, N.

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Kordts, A.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

Krupa, K.

Labruyère, A.

Leaird, D. E.

Lee, H.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Opt. Express 20, 26337 (2012).
[Crossref]

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Lee, Y.

Leo, F.

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

Leproux, P.

Li, J.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Opt. Express 20, 26337 (2012).
[Crossref]

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Li, Q.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Liang, W.

Lihachev, G.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

Lipson, M.

Liu, Y.

Lucas, E.

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Luke, K.

Maleki, L.

Manili, G.

Matsko, A. B.

Menyuk, C. R.

Metcalf, A. J.

Milián, C.

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

Miller, S. A.

Minoni, U.

Mirgorodskiy, I.

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

Modotto, D.

Murdoch, S. G.

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, Nat. Commun. 6, 7370 (2015).
[Crossref]

Oh, D. Y.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

Okawachi, Y.

Painter, O.

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Papp, S.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Papp, S. B.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

Pedersen, M. E.

Pfeiffer, M.

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

Pfeiffer, M. H.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

Qi, M.

Savchenkov, A. A.

Schliesser, A.

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

Shalaby, B. M.

Skryabin, D. V.

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

Srinivasan, K.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Stone, J.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Suh, M.-G.

Taki, M.

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

Tonello, A.

Vahala, K.

Vahala, K. J.

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Opt. Express 20, 26337 (2012).
[Crossref]

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

Wabnitz, S.

Wai, P.

Wang, C.

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Wang, J.

Wang, K.

Wang, P.-H.

Weiner, A. M.

Westly, D.

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

Wiersig, J.

J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006).
[Crossref]

Xu, C.

Xuan, Y.

Xue, X.

Yang, K. Y.

X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 2037 (2016).
[Crossref]

X. Yi, Q.-F. Yang, K. Y. Yang, and K. Vahala, Opt. Lett. 41, 3419 (2016).
[Crossref]

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

X. Yi, Q.-F. Yang, K. Y. Yang, M.-G. Suh, and K. Vahala, Optica 2, 1078 (2015).

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Opt. Express 20, 26337 (2012).
[Crossref]

Yang, Q.-F.

Yi, X.

Yulin, A. V.

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

Zervas, M.

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

Dokl. Akad. Nauk SSSR (1)

P. A. Cherenkov, Dokl. Akad. Nauk SSSR 2, 451 (1934).

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

Nat. Commun. (1)

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, Nat. Commun. 6, 7370 (2015).
[Crossref]

Nat. Photonics (4)

K. Y. Yang, K. Beha, D. C. Cole, X. Yi, P. Del’Haye, H. Lee, J. Li, D. Y. Oh, S. A. Diddams, S. B. Papp, and K. J. Vahala, Nat. Photonics 10, 316 (2016).
[Crossref]

H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Nat. Photonics 6, 369 (2012).
[Crossref]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
[Crossref]

T. Herr, V. Brasch, J. Jost, C. Wang, N. Kondratiev, M. Gorodetsky, and T. Kippenberg, Nat. Photonics 8, 145 (2013).
[Crossref]

Opt. Express (3)

Opt. Lett. (7)

Optica (2)

Phys. Rev. A (2)

C. Milián, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, Phys. Rev. A 92, 033851 (2015).
[Crossref]

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[Crossref]

Phys. Rev. Lett. (4)

M. Karpov, H. Guo, A. Kordts, V. Brasch, M. H. Pfeiffer, M. Zervas, M. Geiselmann, and T. J. Kippenberg, Phys. Rev. Lett. 116, 103902 (2016).
[Crossref]

T. Herr, V. Brasch, J. Jost, I. Mirgorodskiy, G. Lihachev, M. Gorodetsky, and T. Kippenberg, Phys. Rev. Lett. 113, 123901 (2014).
[Crossref]

J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006).
[Crossref]

P. Del’Haye, O. Arcizet, A. Schliesser, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 101, 053903 (2008).
[Crossref]

Proc. IEEE (1)

H. A. Haus and W. P. Huang, Proc. IEEE 79, 1505 (1991).
[Crossref]

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[Crossref]

Science (1)

V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. Pfeiffer, M. Gorodetsky, and T. Kippenberg, Science 351, 357 (2016).
[Crossref]

Other (3)

V. Brasch, E. Lucas, J. D. Jost, M. Geiselmann, and T. J. Kippenberg, “Self-referencing of an on-chip soliton Kerr frequency comb without external broadening,” arXiv: 1605.02801 (2016).

Q. Li, T. C. Briles, D. Westly, J. Stone, R. Ilic, S. Diddams, S. Papp, and K. Srinivasan, in Frontiers in Optics (Optical Society of America, 2015), paper FW6C.5.

A. Ankiewicz and N. Akhmediev, Dissipative Solitons: From Optics to Biology and Medicine (Springer, 2008).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1.
Fig. 1.

Dispersive-wave generation by spatial mode interaction. (a) Measured relative mode frequencies (blue points) of the soliton-forming mode family and the interaction mode family. Mode number μ = 0 corresponds to the pump laser frequency of 193.45 THz (1549.7 nm). Hybrid mode frequencies calculated from Eq. (1) are shown in green, and the unperturbed mode families are shown in orange. The dashed horizontal black line determines phase matching for ω r = D 1 A . (b) Measured soliton optical spectrum with dispersive-wave feature is shown. For comparison, a Sech 2 fitting is provided in red. The pump frequency (black) and soliton center frequency (green) indicate a Raman-induced SSFS [also see Fig. 2(c)]. A microwave beatnote of the photodetected soliton and dispersive wave is shown in the inset (frequency scale is offset by 21.973 GHz; resolution bandwidth is 10 kHz).

Fig. 2.
Fig. 2.

Dispersive-wave phase-matching condition and Raman-induced frequency shift. (a) Relative mode frequencies for the soliton and interaction mode families are shown [see Fig. 1(a)] with dispersive-wave phase matching as dashed lines [see Eq. (4)]. The black line is the case where ω r = D 1 A , and the green line includes a Raman-induced change in ω r . The intersection of the soliton branch with these lines is the dispersive-wave phase-matching point (arrows). (b) Soliton optical spectra corresponding to small (red) and large (blue) cavity–laser detuning ( δ ω ). Sech 2 fitting of the spectral envelope is shown as the orange curves. (c) Left: SSFS, Ω , versus 1 / τ s 4 ( τ s is pulse width). The theoretical line is calculated with Q = 166    million (measured) and Raman shock time 2.7 fs [18]. Right: dispersive-wave spectra with cavity–laser detuning (soliton power and bandwidth) increasing from lower to upper trace. (d) Measured dispersive-wave peak frequencies (red points) and soliton repetition rate (blue points) are plotted versus SSFS. The dashed blue line is a plot of Eq. (3). The dashed red line uses Eq. (4) to determine the dispersive-wave frequency ( μ DW D 1 A + ω 0 ) as described in the text. The offset for the repetition rate vertical scale is D 1 A = 21.9733    GHz .

Equations (4)

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

ω ± ( μ ) = ω A ( μ ) + ω B ( μ ) 2 ± G 2 + [ ω A ( μ ) ω B ( μ ) ] 2 / 4 .
Δ ω ( μ ) = ( ω r D 1 A ) μ δ ω ,
ω r = D 1 A + D 2 A D 1 A Ω .
Δ ω ( μ ) = μ D 2 A D 1 A Ω δ ω .

Metrics