Abstract

We report on the first experimental realization of coherent combining of parametrically amplified femtosecond pulses. The proposed and implemented two-loop active stabilization system allows us to achieve 110 as relative timing jitter between combined pulses, which is necessary for efficient coherent beam combining. In each channel of the two-channel laser setup, pulses were parametrically amplified in β-BaB2O4 (BBO) crystals to 50 μJ energy, compressed to 49 fs duration, and then coherently combined with efficiency as high as 97%. Currently, it is the shortest duration of amplified pulses for which coherent combining is demonstrated.

© 2014 Optical Society of America

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  1. G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
    [CrossRef]
  2. A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
    [CrossRef]
  3. V. Yanovsky, V. Chvykov, G. Kalinchenko, P. Rousseau, T. Planchon, T. Matsuoka, A. Maksimchuk, J. Nees, G. Cheriaux, G. Mourou, and K. Krushelnick, Opt. Express 16, 2109 (2008).
    [CrossRef]
  4. F. Giambruno, C. Radier, G. Rey, and G. Cheriaux, Appl. Opt. 50, 2617 (2011).
    [CrossRef]
  5. A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.
  6. A. Klenke, S. Breitkopf, M. Kienel, T. Gottschall, T. Eidam, S. Hädrich, J. Rothhardt, J. Limpert, and A. Tünnermann, Opt. Lett. 38, 2283 (2013).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  10. S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.
  11. S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
    [CrossRef]
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    [CrossRef]
  13. E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
    [CrossRef]

2013 (2)

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

A. Klenke, S. Breitkopf, M. Kienel, T. Gottschall, T. Eidam, S. Hädrich, J. Rothhardt, J. Limpert, and A. Tünnermann, Opt. Lett. 38, 2283 (2013).
[CrossRef]

2012 (3)

2011 (3)

L. Daniault, M. Hanna, L. Lombard, Y. Zaouter, E. Mottay, D. Goular, P. Bourdon, F. Druon, and P. Georges, Opt. Lett. 36, 621 (2011).
[CrossRef]

F. Giambruno, C. Radier, G. Rey, and G. Cheriaux, Appl. Opt. 50, 2617 (2011).
[CrossRef]

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

2010 (1)

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

2008 (1)

2006 (1)

G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[CrossRef]

Bagayev, S. N.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Bhardwaj, S.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Birge, J. R.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Bourdon, P.

Breitkopf, S.

Bulanov, S. V.

G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[CrossRef]

Cerullo, G.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Chang, W.

Chekhlov, O.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Chen, L.-J.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Cheriaux, G.

Chia, S.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Chvykov, V.

Cirmi, G.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Clarke, R. J.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Collier, J.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Daniault, L.

Di Piazza, A.

A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
[CrossRef]

Druon, F.

Eggleton, B. J.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Eidam, T.

Fang, S.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Farinello, P.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Frolov, S. A.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Galimberti, M.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Galvanauskas, A.

Georges, P.

Giambruno, F.

Gottschall, T.

Goular, D.

Hädrich, S.

Hanna, M.

Hatsagortsyan, K. Z.

A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
[CrossRef]

Hernandez-Gomez, C.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Hong, K.-H.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Hönninger, C.

Huang, S.-W.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Kalinchenko, G.

Kärtner, F. X.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Keitel, C. H.

A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
[CrossRef]

Kienel, M.

Kirpichnikov, A. V.

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Klenke, A.

Kokh, A. E.

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Krushelnick, K.

Leschenko, V. E.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

Li, E.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Limpert, J.

Lombard, L.

Lyachev, A.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Maksimchuk, A.

Manzoni, C.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Matousek, P.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Matsuoka, T.

Morin, F.

Moses, J.

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Mottay, E.

Mourou, G.

Mourou, G. A.

G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[CrossRef]

Mücke, O. D.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

Muller, C.

A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
[CrossRef]

Musgrave, I.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Neely, D.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Nees, J.

Norreys, P.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Papadopoulos, D. N.

Pestryakov, E. V.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Petrov, V. V.

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Planchon, T.

Radier, C.

Rey, G.

Ross, I.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Rothhardt, J.

Rousseau, P.

Siiman, L. A.

Tajima, T.

G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[CrossRef]

Tang, Y.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Trunov, V. I.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Tünnermann, A.

Vasiliev, V. A.

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

Winstone, T.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Wyborn, B.

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

Yanovsky, V.

Zaouter, Y.

Zhou, T.

Appl. Opt. (1)

Nat. Photonics (1)

S.-W. Huang, G. Cirmi, J. Moses, K.-H. Hong, S. Bhardwaj, J. R. Birge, L.-J. Chen, E. Li, B. J. Eggleton, G. Cerullo, and F. X. Kärtner, Nat. Photonics 5, 475 (2011).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Opt. Spectrosc. (1)

S. N. Bagayev, V. I. Trunov, E. V. Pestryakov, V. E. Leschenko, S. A. Frolov, and V. A. Vasiliev, Opt. Spectrosc. 115, 311 (2013).
[CrossRef]

Proc. SPIE (1)

E. V. Pestryakov, V. V. Petrov, V. I. Trunov, S. A. Frolov, A. V. Kirpichnikov, S. N. Bagayev, and A. E. Kokh, Proc. SPIE 7994, 799425 (2010).
[CrossRef]

Rev. Mod. Phys. (2)

G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[CrossRef]

A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, and C. H. Keitel, Rev. Mod. Phys. 84, 1177 (2012).
[CrossRef]

Other (2)

A. Lyachev, O. Chekhlov, J. Collier, R. J. Clarke, M. Galimberti, C. Hernandez-Gomez, P. Matousek, I. Musgrave, D. Neely, P. Norreys, I. Ross, Y. Tang, T. Winstone, and B. Wyborn, in Advances in Optical Materials, OSA Technical Digest (CD) (Optical Society of America, 2011), paper HThE2.

S. Fang, G. Cirmi, S. Chia, O. D. Mücke, F. X. Kärtner, C. Manzoni, P. Farinello, and G. Cerullo, in 2013 Conference on Lasers and Electro-Optics Pacific Rim (OSA, 2013), paper WB3_1.

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Figures (5)

Fig. 1.
Fig. 1.

Experimental setup (λ/2 and λ/4—wave plates).

Fig. 2.
Fig. 2.

Error signal registered in the slow loop (a), power spectral density (PSD) of relative pulse delay fluctuations (timing jitter) obtained from the slow loop (b), and the fast loop (c).

Fig. 3.
Fig. 3.

Spectra of pulses in the channels and interference spectra (a) and calculated from them spectral phase difference (b).

Fig. 4.
Fig. 4.

Beam profiles in the focal plane for single channel (a), and for combined pulse (b), and horizontal data projection (c).

Fig. 5.
Fig. 5.

Experimentally and theoretically obtained dependence of coherent combining efficiency on the delay between pulses for combining of amplified (a) and unamplified (b) pulses.

Equations (1)

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η=II1+I2+2I1I2,

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