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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 13 — Jun. 27, 2005
  • pp: 5163–5169
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Self-Referenced 200 MHz Octave-Spanning Ti:Sapphire Laser with 50 Attosecond Carrier-Envelope Phase Jitter

Oliver D. Mücke, Richard Ell, Axel Winter, Jung-Won Kim, Jonathan R. Birge, Lia Matos, and Franz X. Kärtner  »View Author Affiliations


Optics Express, Vol. 13, Issue 13, pp. 5163-5169 (2005)
http://dx.doi.org/10.1364/OPEX.13.005163


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Abstract

Carrier-envelope phase stabilization of a 200MHz octave-spanning Ti:sapphire laser without external broadening is demonstrated. The individual comb lines spaced by 200MHz can conveniently be resolved using commercial wavemeters. The accumulated in-loop carrier-envelope phase error (integrated from 2.5 mHz to 10 MHz) using a broadband analog mixer as phase detector is 0.117 rad, equivalent to 50 attosecond carrier-envelope phase jitter at 800 nm.

© 2005 Optical Society of America

1. Introduction

Since the first demonstration of the self-referenced optical frequency synthesizer [1

1. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000). [CrossRef] [PubMed]

, 2

2. R. Holzwarth, T. Udem, T.W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical Frequency Synthesizer for Precision Spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000). [CrossRef] [PubMed]

], much experimental effort has been devoted to develop more reliable, more stable, and simpler optical clockworks. In particular, long-term operation of optical clockworks was hindered by the microstructure fiber employed to broaden the laser pulse spectrum to span one octave, which is required for convenient f -to-2f self-referencing. Without feedback control it is a difficult task to maintain efficient coupling into the small fiber core and the cleaved faces can be damaged by the high light intensities. These problems are absent in optical clockworks based on octave-spanning Ti:sapphire lasers [3

3. In this paper, the term “octave-spanning laser” refers to a femtosecond mode-locked laser whose carrier-envelope frequency can be measured using f -to-2 f self-referencing without external spectral broadening.

, 4

4. U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, “Nonlinear Optics with Phase-Controlled Pulses in the Sub-Two-Cycle Regime,” Phys. Rev. Lett. 86, 5462–5465 (2001). [CrossRef] [PubMed]

, 5

5. 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, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001). [CrossRef]

, 6

6. T. M. Fortier, D. J. Jones, and S. T. Cundiff, “Phase stabilization of an octave-spanning Ti:sapphire laser,” Opt. Lett. 28, 2198–2200 (2003). [CrossRef] [PubMed]

, 7

7. L. Matos, D. Kleppner, O. Kuzucu, T. R. Schibli, J. Kim, E. P. Ippen, and F. X. Kaertner, “Direct frequency comb generation from an octave-spanning, prismless Ti:sapphire laser,” Opt. Lett. 29, 1683–1685 (2004). [CrossRef] [PubMed]

] and carrier-envelope (CE) phase independent clockworks based on sum-/difference-frequency generation [8

8. M. Zimmermann, C. Gohle, R. Holzwarth, T. Udem, and T.W. Hänsch, “Optical clockwork with an offset-free difference-frequency comb: accuracy of sum- and difference-frequency generation,” Opt. Lett. 29, 310–312 (2004). [CrossRef] [PubMed]

, 9

9. O. D. Mücke, O. Kuzucu, F. N. C. Wong, E. P. Ippen, F. X. Kärtner, S. M. Foreman, D. J. Jones, L.-S. Ma, J. L. Hall, and J. Ye, “Experimental implementation of optical clockwork without carrier-envelope phase control,” Opt. Lett. 29, 2806–2808 (2004). [CrossRef] [PubMed]

], e.g., for the HeNe/CH4 optical molecular clock [10

10. S. M. Foreman, A. Marian, J. Ye, E. A. Petrukhin, M. A. Gubin, O. D. Mücke, F. N. C. Wong, E. P. Ippen, and F. X. Kärtner, “Demonstration of a HeNe/CH4-based optical molecular clock,” Opt. Lett.30, 570–572(2005). [CrossRef] [PubMed]

].

Recently, Ti:sapphire laser systems with repetition rates below 100 MHz, that directly produce octave-spanning spectra for frequency comb stabilization using the f -to-2f self-referencing scheme, have been demonstrated [4

4. U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, “Nonlinear Optics with Phase-Controlled Pulses in the Sub-Two-Cycle Regime,” Phys. Rev. Lett. 86, 5462–5465 (2001). [CrossRef] [PubMed]

, 5

5. 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, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001). [CrossRef]

, 6

6. T. M. Fortier, D. J. Jones, and S. T. Cundiff, “Phase stabilization of an octave-spanning Ti:sapphire laser,” Opt. Lett. 28, 2198–2200 (2003). [CrossRef] [PubMed]

, 7

7. L. Matos, D. Kleppner, O. Kuzucu, T. R. Schibli, J. Kim, E. P. Ippen, and F. X. Kaertner, “Direct frequency comb generation from an octave-spanning, prismless Ti:sapphire laser,” Opt. Lett. 29, 1683–1685 (2004). [CrossRef] [PubMed]

]. In addition, Ti:sapphire laser systems with repetition rates up to 1 GHz [18

18. A. Bartels and H. Kurz, “Generation of a broadband continuum by a Ti:sapphire femtosecond oscillator with a 1-GHz repetition rate,” Opt. Lett. 27, 1839–1841 (2002). [CrossRef]

] were CE phase stabilized without the need for external broadening using the more complex 2f -to-3f self-referencing technique [19

19. T. M. Ramond, S. A. Diddams, L. Hollberg, and A. Bartels, “Phase-coherent link from optical to microwave frequencies by means of the broadband continuum from a 1-GHz Ti:sapphire femtosecond oscillator,” Opt. Lett. 27, 1842–1844 (2002). [CrossRef]

]. Alternatively, the CE frequency of few-cycle Ti:sapphire lasers can also be stabilized using the interference between self-phase modulation (SPM) and second harmonic generated in thin ZnO crystals [20

20. O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Determining the carrier-envelope offset frequency of 5-fs pulses with extreme nonlinear optics in ZnO,” Opt. Lett. 27, 2127–2129 (2002). [CrossRef]

, 21

21. T. Tritschler, K. D. Hof, M.W. Klein, and M. Wegener, “Variation of the carrier-envelope phase of few-cycle laser pulses owing to the Gouy phase: a solid-state-based measurement,” Opt. Lett. 30, 753–755 (2005). [CrossRef] [PubMed]

], and analogously, using the interference between SPM and difference frequency generated in a periodically-poled lithium niobate crystal [22

22. T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T.W. Hänsch, W. Lehnert, M. Scherer, and F. Krausz, “Monolithic carrier-envelope phase-stabilization scheme,” Opt. Lett. 30, 332–334 (2005). [CrossRef] [PubMed]

]. Also erbium fiber-laser based frequency synthesizers represent an attractive alternative for metrological applications with turnkey operation [23

23. B. R. Washburn, S. A. Diddams, N. R. Newbury, J.W. Nicholson, M. F. Yan, and C. G. Jørgensen, “Phase-locked, erbium-fiber-laser-based frequency comb in the near infrared,” Opt. Lett. 29, 250–252 (2004). [CrossRef] [PubMed]

, 24

24. T. R. Schibli, K. Minoshima, F.-L. Hong, H. Inaba, A. Onae, H. Matsumoto, I. Hartl, and M. E. Fermann, “Frequency metrology with a turnkey all-fiber system,” Opt. Lett. 29, 2467–2469 (2004). [CrossRef] [PubMed]

, 25

25. P. Kubina, P. Adel, F. Adler, G. Grosche, T.W. Hänsch, R. Holzwarth, A. Leitenstorfer, B. Lipphardt, and H. Schnatz, “Long term comparison of two fiber based frequency comb systems,” Opt. Express 13, 904–909 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-3-904. [CrossRef] [PubMed]

]. However, at present the CE beat note of fiber lasers exhibits ~200 kHz linewidth in a 100 kHz resolution bandwidth [24

24. T. R. Schibli, K. Minoshima, F.-L. Hong, H. Inaba, A. Onae, H. Matsumoto, I. Hartl, and M. E. Fermann, “Frequency metrology with a turnkey all-fiber system,” Opt. Lett. 29, 2467–2469 (2004). [CrossRef] [PubMed]

], indicating increased CE phase fluctuation. The larger CE phase jitter might limit the usefulness of CE-phase stabilized fiber lasers for time-domain spectroscopy in the regime of extreme nonlinear optics. In optical frequency metrology, the larger CE beat linewidth implies decreased short-term stability and longer averaging times to obtain a desired stability.

2. 200MHz octave-spanning Ti:sapphire frequency comb

The Ti:sapphire laser (see Fig. 1) is similar to the one described in Ref. [7

7. L. Matos, D. Kleppner, O. Kuzucu, T. R. Schibli, J. Kim, E. P. Ippen, and F. X. Kaertner, “Direct frequency comb generation from an octave-spanning, prismless Ti:sapphire laser,” Opt. Lett. 29, 1683–1685 (2004). [CrossRef] [PubMed]

], but it operates at 200MHz repetition rate and emits an average output power of ~270mW. The laser resonator is set up in an astigmatism-compensated Z-folded geometry employing two concave double-chirped mirrors (DCMs) with 75mm radius of curvature. The laser is pumped by focusing ~6.5W (measured in front of the acousto-optic modulator (AOM)) of 532 nm light emitted by a Coherent Verdi V6 pump laser into the gain crystal using a 50mm focal length lens. The dispersion of the 2 mm-thick Ti:sapphire gain crystal and the air within the cavity is precisely compensated for by DCM pairs, a BaF2 plate, and BaF2 wedges for dispersion fine-tuning. BaF2 was chosen as a material because it has the lowest ratio of third- to second-order dispersion in the wavelength range from 600 to 1200 nm. This property allows the design of octave-spanning DCMs with 99.9% reflectivity from 580 to 1200 nm. Moreover, the dispersion of 0.5mm of BaF2 is similar to that of 1m of air. This enables scaling up the cavity to higher repetition rates by removing air path and correspondingly adding BaF2 material to maintain the proper dispersion balance. To achieve the ultrabroad spectrum depicted in Fig. 2, which has a Fourier limit of 3.6 fs, the output spectrum is shaped using a broadband quarter-wave ZnSe/MgF2 output coupling mirror [5

5. 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, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001). [CrossRef]

] with a transmission of 1% in the center and 78% at 570 nm.

Fig. 1. Carrier-envelope phase stabilized 200MHz octave-spanning Ti:sapphire laser. The femtosecond laser itself (located inside the grey area) has a compact 20 cm×30 cm foot-print. AOM, acousto-optical modulator; S, silver end mirror; OC, output coupling mirror; PBS, polarizing beam splitter cube; PMT, photomultiplier tube; PD, digital phase detector; LF, loop filter; VSA, vector signal analyzer. The carrier-envelope frequency is phase locked to 36 MHz.

Fig. 2. Output spectrum of the Ti:sapphire laser on a linear (black curve) and on a logarithmic scale (red curve). The reflectivity of the ZnSe/MgF2 output coupler (blue curve) is shown for comparison. The wavelengths 570 and 1140 nm used for f -to-2f self-referencing are indicated by two dashed lines. The Fourier limit of the pulse spectrum is 3.6 fs.

3. Carrier-envelope phase stabilization results

In the radio-frequency power spectrum shown in Fig. 3, we observe a peak at the CE frequency with a SNR of ~35 dB in a 100 kHz resolution bandwidth. This SNR is sufficient for direct and routine CE phase stabilization. When the CE beat is phase locked, its linewidth is 2 Hz FWHM (measurement limited). Phase locking is achieved by a phase-lock loop (PLL) in feeding an error signal back to an AOM placed into the pump beam which regulates the pump power and thus changes the CE frequency [26

26. S. T. Cundiff, J. Ye, and J. L. Hall, “Optical frequency synthesis based on mode-locked lasers,” Rev. Sci. Instrum. 72, 3749–3771 (2001). [CrossRef]

]. A bandpass filter is used to select the CE beat signal at 36 MHz. This signal is amplified, divided by 4 in frequency to enhance the locking range of the PLL, and compared with a reference frequency supplied by a signal generator using a digital phase detector. The output signal is amplified in the loop filter, which in our case is a proportional-integral (PI) controller, and fed back to the AOM, closing the loop. The output of the phase detector is proportional to the remaining jitter between the CE phase evolution and the local oscillator reduced by the division ratio of 4.

Since a digital phase detector requires a low pass filter (~1.9MHz in our case) for operation, any signal with a higher frequency than the low-pass filter cutoff will be attenuated yielding a CE phase error which does not represent the true CE phase error of the system. Fundamentally this makes a separate out-of-loop measurement consisting of a separate SHG process, CE beat detection and phase comparison necessary. The Allan deviation of an SHG process using a nonlinear crystal was measured to be on the order of 10-16 for an averaging time of 1 s [27

27. J. Stenger, H. Schnatz, C. Tamm, and H. R. Telle, “Ultraprecise Measurement of Optical Frequency Ratios,” Phys. Rev. Lett. 88, 073601 (2002). [CrossRef] [PubMed]

], thus it is reasonable to assume no significant contribution of the SHG process to the CE phase noise. Furthermore, our monolithic f -to-2f self-referencing setup employing a DCM-based delay line is not expected to introduce additional CE phase noise either, in contrast to the commonly used Mach-Zehnder type or prism-based interferometers. Hence, assuming that our f -to-2f self-referencing setup and the photomultiplier detection truthfully reflect the CE phase dynamics, only a phase detector with a high enough intermediate frequency (IF) bandwidth is necessary to measure the true CE phase error within the loop. In a second measurement, we therefore replaced the digital phase detector with an analog mixer.

Fig. 3. Radio-frequency power spectrum of fundamental and frequency-doubled light transmitted through a 10 nm wide interference filter centered at 570 nm, resolution bandwidth (RBW) is 100 kHz. The peak at the carrier-envelope frequency fϕ exhibits a signal-to-noise ratio of ~35 dB, sufficient for direct and routine carrier-envelope phase stabilization.
Fig. 4. Power spectral density (PSD) of the carrier-envelope phase fluctuations Sf (blue and red curves) and integrated carrier-envelope phase error Δϕ (green and orange curves) measured with a digital phase detector and mixer, respectively.

The power spectral density (PSD) of the CE phase fluctuations Sϕ for a feedback loop using a digital phase detector or a mixer measured with a vector signal analyzer (VSA) is shown in Fig. 4. The accumulated (root-mean-square) CE phase error Δϕ can be obtained from Sϕ by integration over frequency according to

Δϕ=[210MHzfSϕ(f)df]12,
(1)

resulting in a value of 0.103 rad and 0.117 rad (integrated from 2.5 mHz to 10 MHz) for the digital phase detector and mixer, respectively. This is equivalent to 44 attosecond and 50 attosecond CE phase jitter at 800 nm, respectively. Both measurements are in good agreement with each other considering that they were taken on different days with different loop-filter settings. These results reflect the elaborate acoustic vibration isolation and shielding against environmental perturbations (e.g., air currents) as well as the effectiveness of our PI control loop up to ~20 kHz. At present, the bandwidth of our PI control loop is limited by the AOM used to modulate the pump power. By using an electro-optic modulator, the CE phase fluctuations are expected to be even further suppressed in the future.

4. Conclusion

In conclusion, we have demonstrated CE phase stabilization of a 200MHz octave-spanning Ti:sapphire laser without external spectral broadening. The CE beat note was detected using a compact and stable f -to-2f self-referencing scheme without separating and recombining the f and 2f spectral components. With this setup we achieved a CE beat note with 35 dB signal-to-noise ratio in a 100 kHz resolution bandwidth, the CE beat linewidth is 2 Hz FWHM (measurement limited). The accumulated in-loop CE phase error (integrated from 2.5 mHz to 10 MHz) using a broadband analog mixer as phase detector is 0.117 rad, equivalent to 50 attosecond CE phase jitter at 800 nm.

Acknowledgments

This research has been supported by ONR N00014-02-1-0717 and AFOSR FA9550-04-1-0011. O. D. Mücke acknowledges support from the Alexander von Humboldt Foundation.

References and links

1.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000). [CrossRef] [PubMed]

2.

R. Holzwarth, T. Udem, T.W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical Frequency Synthesizer for Precision Spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000). [CrossRef] [PubMed]

3.

In this paper, the term “octave-spanning laser” refers to a femtosecond mode-locked laser whose carrier-envelope frequency can be measured using f -to-2 f self-referencing without external spectral broadening.

4.

U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, “Nonlinear Optics with Phase-Controlled Pulses in the Sub-Two-Cycle Regime,” Phys. Rev. Lett. 86, 5462–5465 (2001). [CrossRef] [PubMed]

5.

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, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001). [CrossRef]

6.

T. M. Fortier, D. J. Jones, and S. T. Cundiff, “Phase stabilization of an octave-spanning Ti:sapphire laser,” Opt. Lett. 28, 2198–2200 (2003). [CrossRef] [PubMed]

7.

L. Matos, D. Kleppner, O. Kuzucu, T. R. Schibli, J. Kim, E. P. Ippen, and F. X. Kaertner, “Direct frequency comb generation from an octave-spanning, prismless Ti:sapphire laser,” Opt. Lett. 29, 1683–1685 (2004). [CrossRef] [PubMed]

8.

M. Zimmermann, C. Gohle, R. Holzwarth, T. Udem, and T.W. Hänsch, “Optical clockwork with an offset-free difference-frequency comb: accuracy of sum- and difference-frequency generation,” Opt. Lett. 29, 310–312 (2004). [CrossRef] [PubMed]

9.

O. D. Mücke, O. Kuzucu, F. N. C. Wong, E. P. Ippen, F. X. Kärtner, S. M. Foreman, D. J. Jones, L.-S. Ma, J. L. Hall, and J. Ye, “Experimental implementation of optical clockwork without carrier-envelope phase control,” Opt. Lett. 29, 2806–2808 (2004). [CrossRef] [PubMed]

10.

S. M. Foreman, A. Marian, J. Ye, E. A. Petrukhin, M. A. Gubin, O. D. Mücke, F. N. C. Wong, E. P. Ippen, and F. X. Kärtner, “Demonstration of a HeNe/CH4-based optical molecular clock,” Opt. Lett.30, 570–572(2005). [CrossRef] [PubMed]

11.

A. Bartels, in Femtosecond Optical Frequency Comb Technology: Principle, Operation, and Application, edited by J. Ye and S. T. Cundiff (Springer, 2005), pp. 79.

12.

T. M. Fortier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, “Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors,” Phys. Rev. Lett. 92, 147403 (2004). [CrossRef] [PubMed]

13.

A. Marian, M. C. Stowe, J. R. Lawall, D. Felinto, and J. Ye, “United Time-Frequency Spectroscopy for Dynamics and Global Structure,” Science 306, 2063–2068 (2004). [CrossRef] [PubMed]

14.

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, F. X. Kärtner, G. Khitrova, and H. M. Gibbs, “Carrier-wave Rabi flopping: role of the carrier-envelope phase,” Opt. Lett. 29, 2160–2162 (2004). [CrossRef] [PubMed]

15.

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the Phase of Few-Cycle Laser Pulses,” Phys. Rev. Lett. 91, 253004 (2003). [CrossRef]

16.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T.W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature 421, 611–615 (2003). [CrossRef] [PubMed]

17.

W. S. Graves, M. Farkhondeh, F. X. Kaertner, R. Milner, C. Tschalaer, J. B. van der Laan, F. Wang, A. Zolfaghari, T. Zwart, W. M. Fawley, and D. E. Moncton, “X-ray laser seeding for short pulses and narrow bandwidth,” Proc. of the 2003 Part. Accel. Conf. 2, 959–961 (2003), http://intl.ieeexplore.ieee.org/iel5/9054/28710/01289566.pdf [CrossRef]

18.

A. Bartels and H. Kurz, “Generation of a broadband continuum by a Ti:sapphire femtosecond oscillator with a 1-GHz repetition rate,” Opt. Lett. 27, 1839–1841 (2002). [CrossRef]

19.

T. M. Ramond, S. A. Diddams, L. Hollberg, and A. Bartels, “Phase-coherent link from optical to microwave frequencies by means of the broadband continuum from a 1-GHz Ti:sapphire femtosecond oscillator,” Opt. Lett. 27, 1842–1844 (2002). [CrossRef]

20.

O. D. Mücke, T. Tritschler, M. Wegener, U. Morgner, and F. X. Kärtner, “Determining the carrier-envelope offset frequency of 5-fs pulses with extreme nonlinear optics in ZnO,” Opt. Lett. 27, 2127–2129 (2002). [CrossRef]

21.

T. Tritschler, K. D. Hof, M.W. Klein, and M. Wegener, “Variation of the carrier-envelope phase of few-cycle laser pulses owing to the Gouy phase: a solid-state-based measurement,” Opt. Lett. 30, 753–755 (2005). [CrossRef] [PubMed]

22.

T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T.W. Hänsch, W. Lehnert, M. Scherer, and F. Krausz, “Monolithic carrier-envelope phase-stabilization scheme,” Opt. Lett. 30, 332–334 (2005). [CrossRef] [PubMed]

23.

B. R. Washburn, S. A. Diddams, N. R. Newbury, J.W. Nicholson, M. F. Yan, and C. G. Jørgensen, “Phase-locked, erbium-fiber-laser-based frequency comb in the near infrared,” Opt. Lett. 29, 250–252 (2004). [CrossRef] [PubMed]

24.

T. R. Schibli, K. Minoshima, F.-L. Hong, H. Inaba, A. Onae, H. Matsumoto, I. Hartl, and M. E. Fermann, “Frequency metrology with a turnkey all-fiber system,” Opt. Lett. 29, 2467–2469 (2004). [CrossRef] [PubMed]

25.

P. Kubina, P. Adel, F. Adler, G. Grosche, T.W. Hänsch, R. Holzwarth, A. Leitenstorfer, B. Lipphardt, and H. Schnatz, “Long term comparison of two fiber based frequency comb systems,” Opt. Express 13, 904–909 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-3-904. [CrossRef] [PubMed]

26.

S. T. Cundiff, J. Ye, and J. L. Hall, “Optical frequency synthesis based on mode-locked lasers,” Rev. Sci. Instrum. 72, 3749–3771 (2001). [CrossRef]

27.

J. Stenger, H. Schnatz, C. Tamm, and H. R. Telle, “Ultraprecise Measurement of Optical Frequency Ratios,” Phys. Rev. Lett. 88, 073601 (2002). [CrossRef] [PubMed]

OCIS Codes
(120.3940) Instrumentation, measurement, and metrology : Metrology
(320.7090) Ultrafast optics : Ultrafast lasers
(320.7160) Ultrafast optics : Ultrafast technology

ToC Category:
Research Papers

History
Original Manuscript: April 29, 2005
Revised Manuscript: June 21, 2005
Published: June 27, 2005

Citation
Oliver Mücke, Richard Ell, Axel Winter, Jung-Won Kim, Jonathan Birge, Lia Matos, and Franz Kärtner, "Self-Referenced 200 MHz Octave-Spanning Ti:Sapphire Laser with 50 Attosecond Carrier-Envelope Phase Jitter," Opt. Express 13, 5163-5169 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-13-5163


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References

  1. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S.Windeler, J. L. Hall, and S. T. Cundiff, �??Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,�?? Science 288, 635-639 (2000). [CrossRef] [PubMed]
  2. R. Holzwarth, T. Udem, T.W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, �??Optical Frequency Synthesizer for Precision Spectroscopy,�?? Phys. Rev. Lett. 85, 2264-2267 (2000). [CrossRef] [PubMed]
  3. In this paper, the term �??octave-spanning laser�?? refers to a femtosecond mode-locked laser whose carrier-envelope frequency can be measured using f -to-2 f self-referencing without external spectral broadening.
  4. U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, �??Nonlinear Optics with Phase-Controlled Pulses in the Sub-Two-Cycle Regime,�?? Phys. Rev. Lett. 86, 5462-5465 (2001). [CrossRef] [PubMed]
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