Abstract

We demonstrate long-term stable passive synchronization between two-color Ti:sapphire (master) and Yb-doped fiber (slave) mode-locked lasers in the master-slave configuration. Active temperature stabilization suppresses the repetition fluctuation of the slave laser, and with the aid of temperature stabilization in combination with simple repetition locking of the master laser, long-term stable synchronization as long as 6 h was realized. The repetition rates of both lasers are locked in submillihertz precision. A timing jitter of 0.75 fs was obtained at a detection bandwidth of 350 kHz.

© 2014 Optical Society of America

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2013

2012

2011

2010

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

D. Yoshitomi, X. Zhou, Y. Kobayashi, H. Takada, K. Torizuka, “Long-term stable passive synchronization of 50 µJ femtosecond Yb-doped fiber chirped-pulse amplifier with a mode-locked Ti:sapphire laser,” Opt. Express 18(25), 26027–26036 (2010).
[CrossRef] [PubMed]

2009

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

W.-W. Hsiang, C.-H. Chang, C.-P. Cheng, Y. Lai, “Passive synchronization between a self-similar pulse and a bound-soliton bunch in a two-color mode-locked fiber laser,” Opt. Lett. 34(13), 1967–1969 (2009).
[CrossRef] [PubMed]

2008

2006

2005

2004

2003

2002

2001

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

1996

C. Fürst, A. Leitenstorfer, A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:sapphire laser,” IEEE J. Sel. Top. Quantum Electron. 2(3), 473–479 (1996).
[CrossRef]

1995

1965

Baltuška, A.

Birge, J. R.

Cai, Y.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Cao, S.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Chandalia, J.

Chang, C.-H.

Chen, L.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Cheng, C.-P.

Cox, J. A.

Cundiff, S. T.

Deng, Y.

Eggert, S.

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Ell, R.

Fattahi, H.

Foreman, S. M.

Fuji, T.

Fukui, K.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Fürst, C.

C. Fürst, A. Leitenstorfer, A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:sapphire laser,” IEEE J. Sel. Top. Quantum Electron. 2(3), 473–479 (1996).
[CrossRef]

A. Leitenstorfer, C. Fürst, A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20(8), 916–918 (1995).
[CrossRef] [PubMed]

Gu, X.

Hall, J. L.

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

Han, H.

Hanke, T.

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Hashimoto, H.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Herda, R.

Holman, K. W.

Holzwarth, R.

Hsiang, W.-W.

Hu, C.

Huber, R.

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Hudson, D. D.

Ippen, E. P.

Ishii, N.

Itoh, K.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Jiang, L. A.

Jones, D. J.

Kakehata, M.

Kapteyn, H. C.

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

Kärtner, F. X.

Kelleher, E. J. R.

Kienberger, R.

Kobayashi, Y.

Köhler, S.

Krauss, G.

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Krausz, F.

Lai, Y.

Laubereau, A.

C. Fürst, A. Leitenstorfer, A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:sapphire laser,” IEEE J. Sel. Top. Quantum Electron. 2(3), 473–479 (1996).
[CrossRef]

A. Leitenstorfer, C. Fürst, A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20(8), 916–918 (1995).
[CrossRef] [PubMed]

Leitenstorfer, A.

J. A. Cox, W. P. Putnam, A. Sell, A. Leitenstorfer, F. X. Kärtner, “Pulse synthesis in the single-cycle regime from independent mode-locked lasers using attosecond-precision feedback,” Opt. Lett. 37(17), 3579–3581 (2012).
[CrossRef] [PubMed]

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

C. Fürst, A. Leitenstorfer, A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:sapphire laser,” IEEE J. Sel. Top. Quantum Electron. 2(3), 473–479 (1996).
[CrossRef]

A. Leitenstorfer, C. Fürst, A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20(8), 916–918 (1995).
[CrossRef] [PubMed]

Li, P.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Lohss, S.

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Ma, L.-S.

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

Malitson, I. H.

Metzger, T.

Murnane, M. M.

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

Nakamura, S.

Nishizawa, N.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Notcutt, M.

Obraztsova, E. D.

Okhotnikov, O. G.

Onuma, T.

Ossiander, M.

Otsuka, Y.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Ozeki, Y.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Pan, J.

Popov, S. V.

Pozharov, A. S.

Putnam, W. P.

Ren, L.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Rusu, M.

Satoh, S.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Schwarz, A.

Sekiguchi, T.

Sell, A.

J. A. Cox, W. P. Putnam, A. Sell, A. Leitenstorfer, F. X. Kärtner, “Pulse synthesis in the single-cycle regime from independent mode-locked lasers using attosecond-precision feedback,” Opt. Lett. 37(17), 3579–3581 (2012).
[CrossRef] [PubMed]

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Shelton, R. K.

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

Shigekawa, H.

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

Sumimura, K.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Takada, H.

Takeuchi, O.

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

Taylor, J. R.

Teisset, C. Y.

Terada, Y.

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

Tian, J.

Torizuka, K.

Tsai, B.-W.

Ueffing, M.

Umemura, W.

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

Wang, P.

Wang, Z.

Wei, Z.

Wu, S.-Y.

Yang, T.

Ye, J.

Yokoi, H.

Yokoyama, H.

Yoshida, S.

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

Yoshitomi, D.

Zhang, J.

Zhang, M.

M. Zhang, E. J. R. Kelleher, A. S. Pozharov, E. D. Obraztsova, S. V. Popov, J. R. Taylor, “Passive synchronization of all-fiber lasers through a common saturable absorber,” Opt. Lett. 36(20), 3984–3986 (2011).
[CrossRef] [PubMed]

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Zhang, Z.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Zhao, L.

Zheltikov, A. M.

Zhou, C.

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Zhou, X.

Appl. Phys. B

C. Zhou, Y. Cai, L. Ren, P. Li, S. Cao, L. Chen, M. Zhang, Z. Zhang, “Passive synchronization of femtosecond Er- and Yb-fiber lasers by injection locking,” Appl. Phys. B 97(2), 445–449 (2009).
[CrossRef]

Z. Wei, Y. Kobayashi, K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74(9), S171–S176 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

C. Fürst, A. Leitenstorfer, A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:sapphire laser,” IEEE J. Sel. Top. Quantum Electron. 2(3), 473–479 (1996).
[CrossRef]

J. Opt. Soc. Am.

Nat. Photonics

Y. Terada, S. Yoshida, O. Takeuchi, H. Shigekawa, “Real-space imaging of transient carrier dynamics by nanoscale pump-probe microscopy,” Nat. Photonics 4(12), 869–874 (2010).
[CrossRef]

Y. Ozeki, W. Umemura, Y. Otsuka, S. Satoh, H. Hashimoto, K. Sumimura, N. Nishizawa, K. Fukui, K. Itoh, “High-speed molecular spectral imaging of tissue with stimulated Raman scattering,” Nat. Photonics 6(12), 845–851 (2012).
[CrossRef]

G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, A. Leitenstorfer, “Synthesis of a single cycle of light with compact erbium-doped fibre technology,” Nat. Photonics 4(1), 33–36 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

D. Yoshitomi, Y. Kobayashi, K. Torizuka, “Characterization of Fourier-synthesized optical waveforms from optically phase-locked femtosecond multicolor pulses,” Opt. Lett. 33(24), 2925–2927 (2008).
[CrossRef] [PubMed]

J. A. Cox, W. P. Putnam, A. Sell, A. Leitenstorfer, F. X. Kärtner, “Pulse synthesis in the single-cycle regime from independent mode-locked lasers using attosecond-precision feedback,” Opt. Lett. 37(17), 3579–3581 (2012).
[CrossRef] [PubMed]

R. K. Shelton, S. M. Foreman, L.-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27(5), 312–314 (2002).
[CrossRef] [PubMed]

J. R. Birge, R. Ell, F. X. Kärtner, “Two-dimensional spectral shearing interferometry for few-cycle pulse characterization,” Opt. Lett. 31(13), 2063–2065 (2006).
[CrossRef] [PubMed]

D. Yoshitomi, Y. Kobayashi, H. Takada, M. Kakehata, K. Torizuka, “100-attosecond timing jitter between two-color mode-locked lasers by active-passive hybrid synchronization,” Opt. Lett. 30(11), 1408–1410 (2005).
[CrossRef] [PubMed]

J. Tian, Z. Wei, P. Wang, H. Han, J. Zhang, L. Zhao, Z. Wang, J. Zhang, T. Yang, J. Pan, “Independently tunable 1.3 W femtosecond Ti:sapphire lasers passively synchronized with attosecond timing jitter and ultrahigh robustness,” Opt. Lett. 30(16), 2161–2163 (2005).
[CrossRef] [PubMed]

D. Yoshitomi, Y. Kobayashi, M. Kakehata, H. Takada, K. Torizuka, T. Onuma, H. Yokoi, T. Sekiguchi, S. Nakamura, “Ultralow-jitter passive timing stabilization of a mode-locked Er-doped fiber laser by injection of an optical pulse train,” Opt. Lett. 31(22), 3243–3245 (2006).
[CrossRef] [PubMed]

W.-W. Hsiang, C.-H. Chang, C.-P. Cheng, Y. Lai, “Passive synchronization between a self-similar pulse and a bound-soliton bunch in a two-color mode-locked fiber laser,” Opt. Lett. 34(13), 1967–1969 (2009).
[CrossRef] [PubMed]

M. Zhang, E. J. R. Kelleher, A. S. Pozharov, E. D. Obraztsova, S. V. Popov, J. R. Taylor, “Passive synchronization of all-fiber lasers through a common saturable absorber,” Opt. Lett. 36(20), 3984–3986 (2011).
[CrossRef] [PubMed]

B.-W. Tsai, S.-Y. Wu, C. Hu, W.-W. Hsiang, Y. Lai, “Subfemtosecond hybrid synchronization between ultrafast Yb and Er fiber laser systems by controlling the relative injection timing,” Opt. Lett. 38(17), 3456–3459 (2013).
[CrossRef] [PubMed]

D. J. Jones, K. W. Holman, M. Notcutt, J. Ye, J. Chandalia, L. A. Jiang, E. P. Ippen, H. Yokoyama, “Ultralow-jitter, 1550-nm mode-locked semiconductor laser synchronized to a visible optical frequency standard,” Opt. Lett. 28(10), 813–815 (2003).
[CrossRef] [PubMed]

D. D. Hudson, S. M. Foreman, S. T. Cundiff, J. Ye, “Synchronization of mode-locked femtosecond lasers through a fiber link,” Opt. Lett. 31(13), 1951–1953 (2006).
[CrossRef] [PubMed]

A. Leitenstorfer, C. Fürst, A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20(8), 916–918 (1995).
[CrossRef] [PubMed]

Science

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293(5533), 1286–1289 (2001).
[CrossRef] [PubMed]

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Figures (7)

Fig. 1
Fig. 1

Layout of YbF mode-locked laser. WDM, wavelength-division multiplexer; SMF, single-mode fiber; HWP, half-wave plate; QWP, quarter-wave plate; PBS, polarizing beam splitter.

Fig. 2
Fig. 2

Dependence of repetition rate (red) on the base plate temperature (blue). The heater is switched on and off alternately (marked with arrows).

Fig. 3
Fig. 3

(a) Long-term variation in repetition rate (red) and base-plate temperature (blue) when the temperature is actively stabilized. (b) Zoom of (a) in the time window from 8 h to 12 h.

Fig. 4
Fig. 4

Experimental setup of long-term synchronization between TiS laser and YbF laser. CM, chirped mirrors; BS, beam splitter; HWP, half-wave plate; BBO, β-barium borate crystal; PMT, photomultiplier tube; rep., repetition rate.

Fig. 5
Fig. 5

Long-term variation in repetition rates. (a) Repetition rate of TiS laser actively locked to an RF reference. (b) Repetition rate of temperature-stabilized YbF laser passively synchronized to TiS laser. The reference RF frequency is fRF = 100,085,040,000 (mHz). (c) Calculated difference of two repetition rate values in (a) and (b).

Fig. 6
Fig. 6

Temporal intensity (red solid) and phase (red dotted) profiles of (a) TiS and (b) YbF laser pulses after dispersion compensation. The transform-limited (TL) pulse shapes are shown in comparison (blue).

Fig. 7
Fig. 7

Power spectral density (red) and rms integration (blue) of the jitter between the passively synchronized TiS and YbF pulses.

Equations (2)

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ΔL L = L fiber L Δ L fiber L fiber + L free L Δ L free L free  . 
Δ L fiber L fiber = Δ n g n g + Δl l  . 

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