Abstract
We present a detailed investigation of the noise properties of an optical frequency comb generated from a femtosecond diode-pumped solid-state laser operating in the 1.5-μm spectral region. The stabilization of the passively mode-locked Er:Yb:glass laser oscillator, referred to as ERGO, is achieved using pump power modulation for the control of the carrier envelope offset (CEO) frequency and by adjusting the laser cavity length for the control of the repetition rate. The stability and the noise of the ERGO comb are characterized in free-running and in phase-locked operation by measuring the noise properties of the CEO, of the repetition rate, and of a comb line at 1558 nm. The comb line is analyzed from the heterodyne beat signal with a cavity-stabilized ultra-narrow-linewidth laser using a frequency discriminator. Two different schemes to stabilize the comb to a radio-frequency (RF) reference are compared. The comb properties (phase noise, frequency stability) are limited in both cases by the RF oscillator used to stabilize the repetition rate, while the contribution of the CEO is negligible at all Fourier frequencies, as a consequence of the low-noise characteristics of the CEO-beat. A linewidth of ≈150 kHz and a fractional frequency instability of 4.2×10−13 at 1 s are obtained for an optical comb line at 1558 nm. Improved performance is obtained by stabilizing the comb to an optical reference, which is a cavity-stabilized ultra-narrow linewidth laser at 1558 nm. The fractional frequency stability of 8×10−14 at 1 s, measured in preliminary experiments, is limited by the reference oscillator used in the frequency comparison.
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References
T.W. Hänsch, Rev. Mod. Phys. 78, 1297 (2006)
J. Ye, H. Schnatz, L.W. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1041 (2003)
S.A. Diddams, Th. Udem, J.C. Bergquist, E.A. Curtis, R.E. Drullinger, L. Hollberg, W.M. Itano, W.D. Lee, C.W. Oates, K.R. Vogel, D.J. Wineland, Science 293, 825 (2001)
U. Sterr, C. Degenhardt, H. Stoehr, C. Lisdat, H. Schnatz, J. Helmcke, F. Riehle, G. Wilpers, C. Oates, L. Hollberg, C. R. Phys. 5, 845 (2004)
A. Bartels, C.W. Oates, L.W. Hollberg, S.A. Diddams, Opt. Lett. 29, 1081 (2004)
M.C. Stowe, M.J. Thorpe, A. Pe’er, J. Ye, J.E. Stalnaker, V. Gerginov, S.A. Diddams, Adv. At. Mol. Opt. Phys. 55, 1 (2008)
M.J. Thorpe, K.D. Moll, R.J. Jones, B. Safdi, J. Ye, Science 311, 1595 (2006)
S.A. Diddams, L. Hollberg, V. Mbele, Nature 445, 627 (2007)
M.J. Thorpe, J. Ye, Appl. Phys. B 91, 397 (2008)
J. Mandon, G. Guelachvili, N. Picqué, Nat. Photonics 3, 99 (2009)
K.A. Tillman, R.R.J. Maier, D.T. Reid, E.D. McNaghten, Appl. Phys. Lett. 85, 3366 (2004)
F. Adler, P. Maslowski, A. Foltynowicz, K.C. Cossel, T.C. Briles, I. Hartl, J. Ye, Opt. Express 18, 21861 (2010)
E. Sorokin, I.T. Sorokina, J. Mandon, G. Guelachvili, N. Picqué, Opt. Express 15, 16540 (2007)
A. Foltynowicz, T. Ban, P. Maslowski, F. Adler, J. Ye, Phys. Rev. Lett. 107, 233002 (2011)
S. Schiller, Opt. Lett. 27, 766 (2002)
F. Keilmann, C. Gohle, R. Holzwarth, Opt. Lett. 29, 1542 (2004)
B. Bernhardt, A. Ozawa, P. Jacquet, M. Jacquey, Y. Kobayashi, T. Udem, R. Holzwarth, G. Guelachvili, T.W. Hänsch, N. Picqué, Nat. Photonics 4, 55 (2010)
I. Coddington, W.C. Swann, N.R. Newbury, Phys. Rev. Lett. 100, 013902 (2008)
A. Schliesser, M. Brehm, F. Keilmann, D.W. van der Weide, Opt. Express 13, 9029 (2005)
M.J. Cich, C.P. McRaven, G.V. Lopez, T.J. Sears, D. Hurtmans, A.W. Mantz, Temperature-dependent pressure broadened line shape measurements in the ν 1+ν 3 band of acetylene using a diode laser referenced to a frequency comb. Appl. Phys. B (2012, in press), doi:10.1007/s00340-011-4829-0
P. Cancio, S. Bartalini, S. Borri, I. Galli, G. Gagliardi, G. Giusfredi, P. Maddaloni, P. Malara, D. Mazzotti, P. De Natale, Appl. Phys. B 102, 255 (2011)
D. Gatti, A. Gambetta, A. Castrillo, G. Galzerano, P. Laporta, L. Gianfrani, M. Marangoni, Opt. Express 19, 17520 (2011)
D. Mazzotti, S. Bartalini, S. Borri, P. Cancio, I. Galli, G. Giusfredi, P. De Natale, in CLEO/Europe and EQEC 2011 Conference Digest, Paper CH4_3, OSA Technical Digest (CD) (Optical Society of America, Washington, 2011)
J. Mandon, P. Jacquet, B. Bernhardt, M. Jacquey, G. Guelachvili, T.W. Hänsch, N. Piqué, in Conference on Lasers and Electro-Optics. Paper CMJ3, OSA Technical Digest (CD) (Optical Society of America, Washington, 2010)
T. Gherman, D. Romanini, Opt. Express 10, 1033 (2002)
R. Holzwarth, T. Udem, T.W. Hänsch, J.C. Knight, W.J. Wadsworth, P.S.J. Russell, Phys. Rev. Lett. 85, 2264 (2000)
D.J. Jones, S.A. Diddams, J.K. Ranka, A. Stentz, R.S. Windeler, J.L. Hall, S.T. Cundiff, Science 266, 635 (2000)
B.R. Washburn, S.A. Diddams, N.R. Newbury, J.W. Nicholson, M.F. Yan, C.G. Jørgensen, Opt. Lett. 29, 250 (2004)
K. Kim, B.R. Washburn, G. Wilpers, C.W. Oates, L. Hollberg, N.R. Newbury, S.A. Diddams, J.W. Nicholson, M.F. Yan, Opt. Lett. 30, 932 (2005)
I. Hartl, M.E. Fermann, P. Pal, W.H. Knox, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies. Paper CMU2, OSA Technical Digest Series (CD) (Optical Society of America, Washington, 2007)
S.A. Meyer, J.A. Squier, S.A. Diddams, Yb. Diode-pumped, Eur. Phys. J. D 38, 19 (2008)
J. Jiang, C. Mohr, J. Bethge, M. Fermann, I. Hartl, in CLEO/Europe and EQEC 2011 Conference Digest, Paper PDB_1. OSA Technical Digest (CD) (Optical Society of America, Washington, 2011)
M.A. Gubin, A.N. Kireev, A.V. Konyashchenko, P.G. Kryukov, A.S. Shelkovnikov, A.V. Tausenev, D.A. Tyurikov, Appl. Phys. B 95, 661 (2009)
C. Erny, K. Moutzouris, J. Biegert, D. Kühlke, F. Adler, A. Leitenstorfer, U. Keller, Opt. Lett. 32, 1138 (2007)
P. Maddaloni, P. Malara, G. Gagliardi, P. De Natale, New J. Phys. 8, 262 (2006)
N. Leindecker, A. Marandi, R.L. Byer, K.L. Vodopyanov, Opt. Express 19, 6296 (2011)
F. Adler, K.C. Cossel, M.J. Thorpe, I. Hartl, M.E. Fermann, J. Ye, Opt. Lett. 34, 1330 (2009)
C. Wang, T. Herr, P. Del’Haye, A. Schliesser, R. Holzwarth, T.W. Haensch, N. Picqué, T. Kippenberg, in CLEO:2011—Laser Applications to Photonic Applications. Paper PDPA4, OSA Technical Digest (CD) (Optical Society of America, Washington, 2011)
S. Schilt, N. Bucalovic, V. Dolgovskiy, C. Schori, M.C. Stumpf, G. Di Domenico, S. Pekarek, A.E.H. Oehler, T. Südmeyer, U. Keller, P. Thomann, Opt. Express 19, 24171 (2011)
A. Bartels, S.A. Diddams, C.W. Oates, G. Wilpers, J.C. Bergquist, W.H. Oskay, L. Hollberg, Opt. Lett. 30, 667 (2005)
J. Millo, M. Abgrall, M. Lours, E.M.L. English, H. Jiang, J. Guéna, A. Clairon, S. Bize, Y. Le Coq, G. Santarelli, M.E. Tobar, Appl. Phys. Lett. 94, 141105 (2009)
G.J. Spühler, L. Krainer, E. Innerhofer, R. Paschotta, K.J. Weingarten, U. Keller, Opt. Lett. 30, 263 (2005)
M.C. Stumpf, S. Pekarek, A.E.H. Oehler, T. Südmeyer, J.M. Dudley, U. Keller, Appl. Phys. B 99, 401 (2010)
G. Karlsson, F. Laurell, J. Tellefsen, B. Denker, B. Galagan, V. Osiko, S. Sverchkov, Appl. Phys. B 75, 41 (2002)
R. Wu, J.D. Myers, M.J. Myers, C. Rapp, Proc. SPIE 4968, 11 (2003)
F.X. Kärtner, I.D. Jung, U. Keller, IEEE J. Sel. Top. Quantum Electron. 2, 540 (1996)
H.R. Telle, G. Steinmeyer, A.E. Dunlop, J. Stenger, D.H. Sutter, U. Keller, Appl. Phys. B 69, 327 (1999)
B.R. Washburn, W.C. Swann, N.R. Newburry, Opt. Express 13, 10622 (2005)
J. Rauschenberger, T.M. Fortier, D.J. Jones, J. Ye, S.T. Cundiff, Opt. Express 10, 1404 (2002)
N.R. Newbury, W.C. Swann, J. Opt. Soc. Am. B 24, 1756 (2007)
D.R. Walker, T. Udem, C. Gohle, B. Stein, T.W. Hänsch, Appl. Phys. B 89, 535 (2007)
R. Paschotta, A. Schlatter, S.C. Zeller, H.R. Telle, U. Keller, Appl. Phys. B 82, 265 (2006)
H.R. Telle, B. Lipphardt, J. Stenger, Appl. Phys. B 74, 1 (2002)
F.W. Helbing, G. Steinmeyer, U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003)
K.W. Holman, R.J. Jones, A. Marian, S.T. Cundiff, Y. Je, IEEE J. Sel. Top. Quantum Electron. 9, 1018 (2003)
G. Di Domenico, S. Schilt, P. Thomann, Appl. Opt. 49, 4801 (2010)
S. Schilt, N. Bucalovic, L. Tombez, C. Schori, V. Dolgovskiy, G. Di Domenico, M. Zaffalon, P. Thomann, Rev. Sci. Instrum. 82, 123116 (2011)
G. Kramer, W. Klische, in Proc. IEEE International Frequency Control Symposium and PDA Exhibition, Seattle, USA, 6–8 June 2001
E. Rubiola, F. Vernotte, V. Giordano, in Proc. IEEE International Frequency Control Symposium and Exhibition, Vancouver, Canada, 29–31 August (2005)
B. Bernhardt, T.W. Hänsch, R. Holzwarth, Opt. Express 17, 16849 (2009)
S.T. Dawkins, J.J. McFerran, A.N. Luiten, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54, 918 (2007)
D.W. Allan, Proc. IEEE 54, 221 (1966)
A. Bartels, C.W. Oates, L.W. Hollberg, S.A. Diddams, Appl. Opt. 29, 1081 (2004)
W.C. Swann, J.J. McFerran, I. Coddigton, N.R. Newbury, I. Hartl, M.E. Fermann, P.S. Westbrook, J.W. Nicholson, K.S. Feder, C. Langrock, M.M. Fejer, Opt. Lett. 31, 3046 (2006)
V. Dolgovskiy, S. Schilt, G. Di Domenico, N. Bucalovic, C. Schori, P. Thomann, in Proc. IFCS&EFTF Joint Conference, San Francisco, USA, 2–5 May (2011)
R.W.P. Drever, J.L. Hall, F.V. Kowalski, J. Hough, G.M. Ford, A.J. Munley, H. Ward, Appl. Phys. B 31, 97 (1983)
J. Millo, D.V. Magalhaes, C. Mandache, Y. Le Coq, E.M.L. English, P.G. Westergaard, J. Lodewyck, S. Bize, P. Lemonde, G. Santarelli, Phys. Rev. A 79, 053829 (2009)
Y. Nakajima, H. Inaba, K. Hosaka, K. Minoshima, A. Onae, M. Yasuda, T. Kohno, S. Kawato, T. Kobayashi, T. Katsuyama, F.-L. Hong, Opt. Express 18, 1667 (2010)
E. Baumann, F.R. Giorgetta, J.W. Nicholson, W.C. Swann, I. Coddington, N.R. Newbury, Opt. Lett. 34, 638 (2009)
P. Salzenstein, A. Kuna, L. Sojdr, J. Chauvin, Electron. Lett. 46, 1433 (2010)
Acknowledgements
The authors would like to thank Dr Jacques Chauvin (Oscilloquartz) for the loan of the BVA-5607B OCXO used in the evaluation of the ERGO comb stabilized to the optical reference and Dr. Luc Schneller for this support in these measurements. This work was financed by ETH Zurich through the “Multiwave” project, by the Swiss National Science Foundation (SNSF) and by the Swiss Confederation Program Nano-Tera.ch which was scientifically evaluated by the SNSF.
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Schilt, S., Dolgovskiy, V., Bucalovic, N. et al. Noise properties of an optical frequency comb from a SESAM-mode-locked 1.5-μm solid-state laser stabilized to the 10−13 level. Appl. Phys. B 109, 391–402 (2012). https://doi.org/10.1007/s00340-012-5072-z
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DOI: https://doi.org/10.1007/s00340-012-5072-z