Abstract
Recently there has been a remarkable synergy between the technology of precision laser stabilization and mode-locked ultrafast lasers. This has resulted in control of the frequency spectrum, which consists of a regular “comb” of sharp lines, produced by mode-locked lasers. Such a controlled mode-locked laser is a “femtosecond optical frequency comb generator.” For a sufficiently broad comb, it is possible to determine the absolute frequencies of all of the comb lines. This ability has revolutionized optical frequency metrology and synthesis. It has also served as the basis for the recent demonstrations of atomic clocks that utilize an optical frequency transition. In addition, it is having an impact on time-domain applications, including phase-sensitive extreme nonlinear optics and pulse manipulation and control. In this chapter, we first review the frequency-domain description of a mode-locked laser and the connection between the pulse phase and the frequency spectrum to provide a basis for understanding how the absolute frequencies can be determined and controlled. Using this understanding, applications in optical frequency metrology, optical atomic clocks, and precision spectroscopy are discussed. Next, we discuss applications of the carrier-envelope phase coherence in time-domain experiments. This chapter serves as a broad introduction and summary for all subsequent chapters that present detailed discussions of specific topics.
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References
U. Morgner, F. X. Kärtner, S. H. Cho, Y. Chen, H. A. Haus, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, Opt. Lett. 24, 411–413 (1999); D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, G. Angelow, and T. Tschudi, Opt. Lett. 24, 631–633 (1999).
D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635–639 (2000).
S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, Phys. Rev. Lett. 84, 5102–5105 (2000); R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, Phys. Rev. Lett. 85, 2264–2267 (2000); S. T. Cundiff, J. Ye, and J. L. Hall, Rev. Sci. Instrum. 72, 3746–3771 (2001).
J. Stenger, T. Binnewies, G. Wilpers, F. Riehle, H. R. Telle, J. K. Ranka, R. S. Windeler, and A. J. Stentz, Phys. Rev. A 63, 021802 (2001).
T. Udem, S. A. Diddams, K. R. Vogel, C. W. Oates, E. A. Curtis, W. D. Lee, W. M. Itano, R. E. Drullinger, J. C. Bergquist, and L. Hollberg, Phys. Rev. Lett. 86, 4996–4999 (2001).
S. A. Diddams, T. Udem, J. C. Bergquist, E. A. Curtis, R. E. Drullinger, L. Hollberg, W. M. Itano, W. D. Lee, C. W. Oates, K. R. Vogel, and D. J. Wineland, Science 293, 825–828 (2001); J. Ye, L. S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. W. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740–743 (2000).
T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545–591 (2000).
R. K. Shelton, L. S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286–1289 (2001).
T. W. Hänsch, in Tunable Lasers and Applications, edited by A. Mooradain, T. Jaeger and P. Stokseth (Springer-Verlag, Berlin, 1976); E. V. Baklanov and V. P. Chebotaev, Sov. J. Quantum Electr. 7, 1252–1255 (1977).
R. Teets, J. Eckstein, and T. W. Hänsch, Phys. Rev. Lett. 38, 760–764 (1977).
J. N. Eckstein, A. I. Ferguson, and T. W. Hänsch, Phys. Rev. Lett. 40, 847–850 (1978).
T. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Opt. Lett. 24, 881–883 (1999).
T. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568–3571 (1999).
S. A. Diddams, D. J. Jones, L. S. Ma, S. T. Cundiff, and J. L. Hall, Opt. Lett. 25, 186–188 (2000).
J. K. Ranka, R. S. Windeler, and A. J. Stentz, Opt. Lett. 25, 25–27 (2000).
J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena: Fundamentals, Techniques, and Applications on a Femtosecond Timescale (Academic Press, San Diego, 1996).
E. P. Ippen, Appl. Phys. B 58, 159–170 (1994).
R. L. Fork, O. E. Martinez, and J. P. Gordon, Opt. Lett. 9, 150–152 (1984).
D. E. Spence, P. N. Kean, and W. Sibbett, Opt. Lett. 16, 42–44 (1991); D. K. Negus, L. Spinelli, N. Goldblatt, and G. Feugnet, in Advanced Solid-State Lasers (OSA, 1991), Vol. 10.
M. T. Asaki, C. P. Huang, D. Garvey, J. P. Zhou, H. C. Kapteyn, and M. M. Murnane, Opt. Lett. 18, 977–979 (1993).
R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, Opt. Lett. 26, 373–375 (2001).
S. T. Cundiff, J. Phys. D. 35, R43 (2002).
M. Kourogi, K. Nakagawa, and M. Ohtsu, IEEE J. Quantum Electron. 29, 2693–2701 (1993).
J. Ye, L. S. Ma, T. Day, and J. L. Hall, Opt. Lett. 22, 301–303 (1997).
K. Nakagawa, M. deLabachelerie, Y. Awaji, and M. Kourogi, J. Opt. Soc. Am. B 13, 2708–2714 (1996).
J. L. Hall, L. S. Ma, M. Taubman, B. Tiemann, F. L. Hong, O. Pfister, and J. Ye, IEEE Trans. Instrum. Meas. 48, 583–586 (1999).
T. Udem, J. Reichert, T. W. Hänsch, and M. Kourogi, Phys. Rev. A 62, 1801–1804 (2000).
G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).
F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, J. Opt. Soc. Am. B 18, 882–885 (2001).
A. Bartels and H. Kurz, in XIII International Conference on Ultrafast Phenomena, edited by M. M. Murnane, N. F. Scherer, D. J. D. Miller and A. M. Weiner (OSA, Vancouver, BC, 2002), Vol. 72, p. 173–174.
J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, Opt. Commun. 172, 59–68 (1999).
A. Poppe, R. Holzwarth, A. Apolonski, G. Tempea, C. Spielmann, T. W. Hänsch, and F. Krausz, Appl. Phys. B 72, 977–977 (2001).
L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. Hänsch, Opt. Lett. 21, 2008–2010 (1996).
H. A. Haus and E. P. Ippen, Opt. Lett. 26, 1654–1656 (2001).
P. Dietrich, F. Krausz, and P. B. Corkum, Opt. Lett. 25, 16–18 (2000).
J. Ye, S. T. Cundiff, S. Foreman, T. M. Fortier, J. L. Hall, K. W. Holman, D. J. Jones, J. D. Jost, H. C. Kapteyn, K. Leeuwen, L. S. Ma, M. M. Murnane, J. L. Peng, and R. K. Shelton, Appl. Phys. B 74, S27–S34 (2002).
T. M. Fortier, D. J. Jones, J. Ye, S. T. Cundiff, and R. S. Windeler, Opt. Lett. 27, 1436–1438 (2002).
J. C. Bergquist ed., Proceedings of the Fifth Symposium on Frequency Standards and Metrology (Singapore, Woods Hole, Massachusetts, 1996).
K. M. Evenson, J. S. Wells, F. R. Petersen, B. L. Danielson, and G. W. Day, Appl. Phys. Lett. 22, 192 (1973).
A. Clairon, B. Dahmani, A. Filimon, and J. Rutman, IEEE Trans. Instrum. Meas. 34, 265–268 (1985).
D. A. Jennings, K. M. Evenson, and D. J. E. Knight, Proc. IEEE 74, 168–179 (1986); R. L. Barger and J. L. Hall, Appl. Phys. Lett. 22, 196–199 (1973).
T. Udem, A. Huber, B. Gross, J. Reichert, M. Prevedelli, M. Weitz, and T. W. Hänsch, Phys. Rev. Lett. 79, 2646–2649 (1997); C. Schwob, L. Jozefowski, B. de Beauvoir, L. Hilico, F. Nez, L. Julien, F. Biraben, O. Acef, and A. Clairon, Phys. Rev. Lett. 82, 4960–4963 (1999).
A. Peters, K. Y. Chung, B. Young, J. Hensley, and S. Chu, Philos. Trans. R. Soc. Lond. Ser. A 355, 2223–2233 (1997).
B. de Beauvoir, C. Schwob, O. Acef, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, and F. Biraben, Euro. Phys. J. D 12, 61–93 (2000).
D. Hils and J. L. Hall, Phys. Rev. Lett. 64, 1697–1700 (1990).
S. A. Diddams, L. Hollberg, L. S. Ma, and L. Robertsson, Opt. Lett. 27, 58–60 (2002).
J. Ye, T. H. Yoon, J. L. Hall, A. A. Madej, J. E. Bernard, K. J. Siemsen, L. Marmet, J.-M. Chartier, and A. Chartier, Phys. Rev. Lett. 85, 3797 (2000).
J. Ye, J. L. Hall, and S. A. Diddams, Opt. Lett. 25, 1675 (2000).
J. Stenger, H. Schnatz, C. Tamm, and H. R. Telle, Phys. Rev. Lett. 88, 073601 (2002).
M. Niering, R. Holzwarth, J. Reichert, P. Pokasov, T. Udem, M. Weitz, T. W. Hänsch, P. Lemonde, G. Santarelli, M. Abgrall, P. Laurent, C. Salomon, and A. Clairon, Phys. Rev. Lett. 84, 5496–5499 (2000).
B. C. Young, F. C. Cruz, W. M. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799–3802 (1999).
J. Stenger, C. Tamm, N. Haverkamp, S. Weyers, and H. R. Telle, Opt. Lett. 26, 1589–1591 (2001).
S. G. Karshenboim, Laser Physics 11, 1083–1087 (2001).
J. Ye, L. Robertsson, S. Picard, L. S. Ma, and J. L. Hall, IEEE Trans. Instrum. Meas. 48, 544–549 (1999).
R. J. Jones, W. Y. Cheng, K. W. Holman, L.-S. Chen, J. L. Hall, and J. Ye, Appl. Phys. B 74, 597 (2002).
W. Y. Cheng, L. S. Chen, T. H. Yoon, J. L. Hall, and J. Ye, Opt. Lett. 27, 571–573 (2002).
C. Ishibashi, J. Ye, and J. L. Hall, in SPIE — Methods for ultrasensitive detection II, edited by C. W. Wilkerson (SPIE, San Jose, 2002), Vol. SPIE 4634, p. 58.
T. J. Quinn, Metrologia 36, 211–244 (1999).
J. D. Jost, J. L. Hall, and J. Ye, Opt. Expr. 10, 515 (2002).
J. E. Bjorkholm and P. F. Liao, Phys. Rev. Lett. 33, 128–131 (1974).
O. Poulsen and N. I. Winstrup, Phys. Rev. Lett. 47, 1522–1525 (1981).
M. J. Snadden, A. S. Bell, E. Riis, and A. I. Ferguson, Opt. Commun. 125, 70–76 (1996).
T. H. Yoon, A. Marian, J. L. Hall, and J. Ye, Phys. Rev. A 63, 011402 (2000).
L. S. Chen and J. Ye, Chem. Phys. Lett. 381, 777–783 (2003).
L. S. Chen, W. Y. Cheng, and J. Ye, J. Opt. Soc. Am. B 21, 820–832 (2004).
B. Bodermann, H. Knockel, and E. Tiemann, Eur. Phys. J. D 19, 31 (2002).
R. J. Jones and J. Ye, Opt. Lett. 27, 1848–1850 (2002).
E. O. Potma, D. J. Jones, J. X. Cheng, X. S. Xie, and J. Ye, Opt. Lett. 27, 1168–1170 (2002).
P. Brumer and M. Shapiro, Chem. Phys. Lett. 126, 541–546 (1986).
M. Shapiro and P. Brumer, Advances in Atomic Molecular, and Optical Physics, Vol. 4242, 287–345 (2000).
Y.-Y. Yin, C. Chen, D. S. Elliot, and A. V. Smith, Phys. Rev. Lett. 69, 2353 (1992).
D. Z. Anderson, N. B. Baranova, C. Green, and B. Y. Zeldovich, Zhurnal Eksperimentalnoi I Teoreticheskoi Fiziki 102, 397–405 (1992).
B. Sheehy, B. Walker, and L. F. Dimauro, Phys. Rev. Lett. 74, 4799–4802 (1995).
A. Haché, Y. Kostoulas, R. Atanasov, J. L. P. Hughes, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 78, 306–309 (1997).
A. Haché, J. E. Sipe, and H. M. van Driel, IEEE Journal of Quantum Electronics 34, 1144–1154 (1998).
T. M. Fortier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, Phys. Rev. Lett. 92, 147403 (2004).
L.-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, Phys. Rev. A 64, 021802 (2001).
A. Leitenstorfer, C. Furst, and A. Laubereau, Opt. Lett. 20, 916–918 (1995); Z. Y. Wei, Y. Kobayashi, Z. G. Zhang, and K. Torizuka, Opt. Lett. 26, 1806–1808 (2001).
A. Bartels, S. A. Diddams, T. M. Ramond, and L. Hollberg, Opt. Lett. 28, 663–665 (2003).
T. R. Schibli, J. Kim, O. Kuzucu, J. T. Gopinath, S. N. Tandon, G. S. Petrich, L. A. Kolodziejski, J. G. Fujimoto, E. P. Ippen, and F. X. Kaertner, Opt. Lett. 28, 947–949 (2003).
R. K. Shelton, S. M. Foreman, L. S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, Opt. Lett. 27, 312–314 (2002).
R. A. Kaindl, M. Wurm, K. Reimann, P. Hamm, A. M. Weiner, and M. Woerner, J. Opt. Soc. Am. B 17, 2086–2094 (2000).
R. W. Schoenlein, W. P. Leemans, A. H. Chin, P. Volfbeyn, T. E. Glover, P. Balling, M. Zolotorev, K. J. Kim, S. Chattopadhyay, and C. V. Shank, Science 274, 236–238 (1996).
S. M. Foreman, D. J. Jones, and J. Ye, Opt. Lett. 28, 370–372 (2003).
R. K. Shelton, L. S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, J. Mod. Opt. 49, 401–409 (2002).
J. Rauschenberger, T. M. Fortier, D. J. Jones, J. Ye, and S. T. Cundiff, Opt. Expr. 10, 1404–1410 (2002); D. J. Jones, K. W. Holman, M. Notcutt, J. Ye, J. Chandalia, L. A. Jiang, E. P. Ippen, and H. Yokoyama, Opt. Lett. 28, 813–815 (2003).
K. W. Holman, D. J. Jones, J. Ye, and E. P. Ippen, Opt. Lett. 28, 2405–2407 (2003).
K. W. Holman, D. J. Jones, D. D. Hudson, and J. Ye, Opt. Lett. 29, 1554–1556 (2004).
R. J. Jones, I. Thomann, and J. Ye, Phys. Rev. A 69 (2004).
E. O. Potma, C. Evans, X. S. Xie, R. J. Jones, and J. Ye, Opt. Lett. 28, 1835–1837 (2003).
R. J. Jones and J. Ye, Opt. Lett., in press (2004).
A. Volkmer, J. X. Cheng, and X. S. Xie, Phys. Rev. Lett. 87, 023901 (2001).
L. D. Book, J. X. Cheng, A. Volkmer, and X. S. Xie, Biophys. J. 80, 171A–171A (2001).
D. J. Jones, E. O. Potma, J. X. Cheng, B. Burfeindt, Y. Pang, J. Ye, and X. S. Xie, Rev. Sci. Instrum. 73, 2843–2848 (2002).
H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, Science 288, 824–828 (2000).
E. O. Potma, X. S. Xie, L. Muntean, J. Preusser, D. Jones, J. Ye, S. R. Leone, W. D. Hinsberg, and W. Schade, J. Phys. Chem. B 108, 1296–1301 (2004).
C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 83, 2187–2190 (1999); C. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnurer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661–664 (1997).
G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, Nature 414, 182–184 (2001).
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Ye, J., Cundiff, S.T. (2005). Introduction. In: Ye, J., Cundiff, S.T. (eds) Femtosecond Optical Frequency Comb: Principle, Operation, and Applications. Springer, Boston, MA. https://doi.org/10.1007/0-387-23791-7_1
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