Abstract

Octave-spanning optical frequency combs are especially interesting in optical metrology owing to the ability of self-referencing. We report a theoretical study on the generation of octave-spanning combs in the whispering gallery modes of a microresonator. Through a modal expansion model simulation in a calcium fluoride microcavity, we show that a combination of suitable pump power, Kerr nonlinearity, and dispersion profile can lead to stable and robust octave-spanning optical frequency combs.

© 2010 Optical Society of America

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  1. S. T. Cundiff and J. Ye, Rev. Mod. Phys. 75, 325 (2003).
    [CrossRef]
  2. J. L. Hall, Rev. Mod. Phys. 78, 1279 (2006).
    [CrossRef]
  3. T. W. Hänsch, Rev. Mod. Phys. 78, 1297 (2006).
    [CrossRef]
  4. P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
    [CrossRef] [PubMed]
  5. A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
    [CrossRef] [PubMed]
  6. I. S. Grudinin, N. Yu, and L. Maleki, Opt. Lett. 34, 878 (2009).
    [CrossRef] [PubMed]
  7. P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).
  8. I. H. Agha, Y. Okawachi, and A. L. Gaeta, Opt. Express 17, 16209 (2009).
    [CrossRef] [PubMed]
  9. B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993).
  10. S. Schiller, Appl. Opt. 32, 2181 (1993).
    [CrossRef] [PubMed]
  11. P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
    [CrossRef]
  12. M. Daimon and A. Masumura, Appl. Opt. 41, 5275 (2002).
    [CrossRef] [PubMed]
  13. Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
    [CrossRef] [PubMed]

2010

Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
[CrossRef] [PubMed]

2009

2008

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

2007

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

2006

J. L. Hall, Rev. Mod. Phys. 78, 1279 (2006).
[CrossRef]

T. W. Hänsch, Rev. Mod. Phys. 78, 1297 (2006).
[CrossRef]

2003

S. T. Cundiff and J. Ye, Rev. Mod. Phys. 75, 325 (2003).
[CrossRef]

2002

1993

B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993).

S. Schiller, Appl. Opt. 32, 2181 (1993).
[CrossRef] [PubMed]

A, J. Opt. Soc.

B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993).

Agha, I. H.

Arcizet, O.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

Chembo, Y. K.

Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
[CrossRef] [PubMed]

Cundiff, S. T.

S. T. Cundiff and J. Ye, Rev. Mod. Phys. 75, 325 (2003).
[CrossRef]

Daimon, M.

Del’Haye, P.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

Gaeta, A. L.

Gavartin, E.

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

Gorodetsky, M. L.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

Grudinin, I. S.

Hall, J. L.

J. L. Hall, Rev. Mod. Phys. 78, 1279 (2006).
[CrossRef]

Hänsch, T. W.

T. W. Hänsch, Rev. Mod. Phys. 78, 1297 (2006).
[CrossRef]

Herr, T.

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

Holzwarth, R.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

Ilchenko, V. S.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Johnson, B. R.

B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993).

Kippenberg, T. J.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

Maleki, L.

I. S. Grudinin, N. Yu, and L. Maleki, Opt. Lett. 34, 878 (2009).
[CrossRef] [PubMed]

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Masumura, A.

Matsko, A. B.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Okawachi, Y.

Savchenkov, A. A.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Schiller, S.

Schliesser, A.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

Seidel, D.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Solomatine, I.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Strekalov, D. V.

Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
[CrossRef] [PubMed]

Wilken, T.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

Ye, J.

S. T. Cundiff and J. Ye, Rev. Mod. Phys. 75, 325 (2003).
[CrossRef]

Yu, N.

Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
[CrossRef] [PubMed]

I. S. Grudinin, N. Yu, and L. Maleki, Opt. Lett. 34, 878 (2009).
[CrossRef] [PubMed]

Appl. Opt.

Nat. Photon.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Nat. Photon. 3, 529 (2009).
[CrossRef]

Nature

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, I. Solomatine, D. Seidel, and L. Maleki, Phys. Rev. Lett. 101, 093902 (2008).
[CrossRef] [PubMed]

Y. K. Chembo, D. V. Strekalov, and N. Yu, Phys. Rev. Lett. 104, 103902 (2010).
[CrossRef] [PubMed]

Rev. Mod. Phys.

S. T. Cundiff and J. Ye, Rev. Mod. Phys. 75, 325 (2003).
[CrossRef]

J. L. Hall, Rev. Mod. Phys. 78, 1279 (2006).
[CrossRef]

T. W. Hänsch, Rev. Mod. Phys. 78, 1297 (2006).
[CrossRef]

Other

P. Del’Haye, T. Herr, E. Gavartin, R. Holzwarth, and T. J. Kippenberg, “Octave spanning frequency comb on a chip,” arXiv:0912.4890v1 (2009).

B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993).

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Figures (2)

Fig. 1
Fig. 1

Lateral view of the microdisk resonator, and two-dimensional representation of the WGM 0 = 192 (TE).

Fig. 2
Fig. 2

Numerical simulation of an octave- spanning optical frequency comb. The intracavity power values are (a) | A in | 2 = 3 | A th | 2 and (b) | A in | 2 = 4 | A th | 2 .

Equations (4)

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

ϒ p ( r , θ , ϕ ) = ( 1 ) 1 4 2 1 2 π 3 4 S p ( r ) e 1 2 ( θ π 2 ) 2 e i ϕ 0 + S p 2 ( r ) r 2 d r ,
ω p = c n ( ω p ) a { [ + 1 2 ] + ξ 1 [ + 1 2 2 ] 1 3 p n 0 2 1 + 3 20 ξ 1 2 [ + 1 2 2 ] 1 3 + O [ + 1 2 ] 2 3 } ,
A ˙ η = 1 2 Δ ω η A η + 1 2 Δ ω η δ η 0 F 0 e i σ t i g 0 α , β , μ Λ η α β μ A α A β * A μ e i ϖ α β μ η t .
Λ η α β μ = ω μ 2 ω 0 2 ω α ω β ω μ ω η 3 V [ ϒ η * · ϒ μ ] [ ϒ β * · ϒ α ] d V V ϒ 0 4 d V

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