Abstract

Non-collinear spectral coherent combining (NCSCC) of ultrashort pulses is analyzed. 2D modeling of the electromagnetic field is performed in case of NCSCC using two or three pulses with different wavelengths. In the case of two pulses, a potentially unwanted spatio-temporal structure of the field appears, corresponding to spatial and temporal modulation of the pulse. By using NCSCC of three 62 fs long pulses with different spectral composition, such spatial-temporal coupling is eliminated and the combined pulse duration in the focal region drops to less than half. The method is scalable to a large number of ultrashort pulses.

© 2016 Optical Society of America

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References

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2014 (2)

J.-N. Yih, Y. Y. Hu, Y. D. Sie, L.-C. Cheng, C.-H. Lien, and S.-J. Chen, “Temporal focusing-based multiphoton excitation microscopy via digital micromirror device,” Opt. Lett. 39, 3134–3137 (2014).
[Crossref] [PubMed]

L. Ionel and D. Ursescu, “Spatial extension of the electromagnetic field from tightly focused ultra-short laser pulses,” Laser Part. Beams 32, 89–97 (2014).
[Crossref]

2013 (5)

2012 (2)

2011 (5)

2010 (2)

S. Simion, C. Blanaru, and D. Ursescu, “Design considerations for an interferometer for coherent combination of ultrashort laser pulses,” Rom. Rep. Phys. 62, 644–651 (2010).

R. Dabu, “Very broad gain bandwidth parametric amplification in nonlinear crystals at critical wavelength degeneracy,” Opt. Express 18, 11689 (2010).
[Crossref] [PubMed]

2005 (1)

2001 (1)

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

1998 (1)

B. Quesnel and P. Mora, “Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum,” Phys. Rev. E 58, 3719–3732 (1998).
[Crossref]

1992 (1)

Balabanski, D.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Banici, R.

R. Banici and D. Ursescu, “Spectral combination of ultrashort laser pulses,” Europhys. Lett. 94, 44002 (2011).
[Crossref]

Barthélémy, A.

Bellanger, C.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Bigot, L.

Binhammer, T.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Blanaru, C.

S. Simion, C. Blanaru, and D. Ursescu, “Design considerations for an interferometer for coherent combination of ultrashort laser pulses,” Rom. Rep. Phys. 62, 644–651 (2010).

Bouazaoui, M.

Bourderionnet, J.

Bouwmans, G.

Breitkopf, S.

Brignon, A.

Brocklesby, B.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nature Photon. 7, 258–261 (2013).
[Crossref]

Carstens, H.

Cata-Danil, G.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Chang, W.-z.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Chen, S.-J.

Cheng, L.-C.

Christov, I. P.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Dabu, R.

Delplace, K.

Demmler, S.

Desfarges-Berthelemot, A.

Druon, F.

Durst, M.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Eidam, T.

El Hamzaoui, H.

Fermann, M. E.

M. E. Fermann and I. Hartl, “Ultrafast fibre lasers,” Nature Photon. 7, 868–874 (2013).
[Crossref]

Gales, S.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Galvanauskas, A.

Georges, P.

Guichard, F.

Hädrich, S.

Hall, J. L.

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

Hanna, M.

Harth, A.

Hartl, I.

M. E. Fermann and I. Hartl, “Ultrafast fibre lasers,” Nature Photon. 7, 868–874 (2013).
[Crossref]

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Hu, Y. Y.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Ionel, L.

L. Ionel and D. Ursescu, “Spatial extension of the electromagnetic field from tightly focused ultra-short laser pulses,” Laser Part. Beams 32, 89–97 (2014).
[Crossref]

Jansen, F.

Jauregui, C.

Kapteyn, H. C.

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

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Kermene, V.

Kermène, V.

Klenke, A.

Labat, D.

Lang, T.

Le Rouge, A.

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Lien, C.-H.

Limpert, J.

Lombard, L.

Ma, L.-S.

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

Mansuryan, T.

Mora, P.

B. Quesnel and P. Mora, “Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum,” Phys. Rev. E 58, 3719–3732 (1998).
[Crossref]

Morgner, U.

Morjan, I.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Mourou, G.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nature Photon. 7, 258–261 (2013).
[Crossref]

Murnane, M. M.

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

Pouysegur, J.

Powell, D.

D. Powell, “Europe sets sights on lasers,” Nature 500, 264–265 (2013).
[Crossref] [PubMed]

Prévost, F.

Primot, J.

Quesnel, B.

B. Quesnel and P. Mora, “Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum,” Phys. Rev. E 58, 3719–3732 (1998).
[Crossref]

Ramirez, L. P.

Rausch, S.

Rigaud, P.

Rothhardt, J.

Schultze, M.

Seise, E.

Shelton, R. K.

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

Sie, Y. D.

Siiman, L. A.

Simion, S.

S. Simion, C. Blanaru, and D. Ursescu, “Design considerations for an interferometer for coherent combination of ultrashort laser pulses,” Rom. Rep. Phys. 62, 644–651 (2010).

Stutzki, F.

Tajima, T.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nature Photon. 7, 258–261 (2013).
[Crossref]

Tesileanu, O.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Tünnermann, A.

Ur, C. A.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Ursescu, D.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

L. Ionel and D. Ursescu, “Spatial extension of the electromagnetic field from tightly focused ultra-short laser pulses,” Laser Part. Beams 32, 89–97 (2014).
[Crossref]

R. Banici and D. Ursescu, “Spectral combination of ultrashort laser pulses,” Europhys. Lett. 94, 44002 (2011).
[Crossref]

S. Simion, C. Blanaru, and D. Ursescu, “Design considerations for an interferometer for coherent combination of ultrashort laser pulses,” Rom. Rep. Phys. 62, 644–651 (2010).

Ursu, I.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

van Howe, J.

Xu, C.

Ye, J.

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

Yih, J.-N.

Zamfir, N. V.

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Zaouter, Y.

Zhou, T.

Zhu, G.

Zipfel, W.

Europhys. Lett. (1)

R. Banici and D. Ursescu, “Spectral combination of ultrashort laser pulses,” Europhys. Lett. 94, 44002 (2011).
[Crossref]

Laser Part. Beams (1)

L. Ionel and D. Ursescu, “Spatial extension of the electromagnetic field from tightly focused ultra-short laser pulses,” Laser Part. Beams 32, 89–97 (2014).
[Crossref]

Nature (1)

D. Powell, “Europe sets sights on lasers,” Nature 500, 264–265 (2013).
[Crossref] [PubMed]

Nature Photon. (3)

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nature Photon. 7, 258–261 (2013).
[Crossref]

M. E. Fermann and I. Hartl, “Ultrafast fibre lasers,” Nature Photon. 7, 868–874 (2013).
[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, “High-energy pulse synthesis with sub-cycle waveform control for strong-field physics,” Nature Photon. 5, 475–479 (2011).
[Crossref]

Nucl. Instr. Meth. Phys. Res. B (1)

C. A. Ur, D. Balabanski, G. Cata-Danil, S. Gales, I. Morjan, O. Tesileanu, D. Ursescu, I. Ursu, and N. V. Zamfir, “The ELI-NP facility for nuclear physics,” Nucl. Instr. Meth. Phys. Res. B 355, 198–202 (2015).
[Crossref]

Opt. Express (11)

G. Zhu, J. van Howe, M. Durst, W. Zipfel, and C. Xu, “Simultaneous spatial and temporal focusing of femtosecond pulses,” Opt. Express 13, 2153–2159 (2005).
[Crossref] [PubMed]

R. Dabu, “Very broad gain bandwidth parametric amplification in nonlinear crystals at critical wavelength degeneracy,” Opt. Express 18, 11689 (2010).
[Crossref] [PubMed]

T. Eidam, J. Rothhardt, F. Stutzki, F. Jansen, S. Hädrich, H. Carstens, C. Jauregui, J. Limpert, and A. Tünnermann, “Fiber chirped-pulse amplification system emitting 3.8 GW peak power,” Opt. Express 19, 255–260 (2011).
[Crossref] [PubMed]

J. Bourderionnet, C. Bellanger, J. Primot, and A. Brignon, “Collective coherent phase combining of 64 fibers,” Opt. Express 19, 17053 (2011).
[Crossref] [PubMed]

A. Klenke, E. Seise, S. Demmler, J. Rothhardt, S. Breitkopf, J. Limpert, and A. Tünnermann, “Coherently-combined two channel femtosecond fiber CPA system producing 3 mJ pulse energy,” Opt. Express 19, 24280–24285 (2011).
[Crossref] [PubMed]

A. Harth, M. Schultze, T. Lang, T. Binhammer, S. Rausch, and U. Morgner, “Two-color pumped OPCPA system emitting spectra spanning 15 octaves from VIS to NIR,” Opt. Express 20, 3076 (2012).
[Crossref] [PubMed]

L. A. Siiman, W.-z. Chang, T. Zhou, and A. Galvanauskas, “Coherent femtosecond pulse combining of multiple parallel chirped pulse fiber amplifiers,” Opt. Express 20, 18097 (2012).
[Crossref] [PubMed]

W.-z. Chang, T. Zhou, L. A. Siiman, and A. Galvanauskas, “Femtosecond pulse spectral synthesis in coherently-spectrally combined multi-channel fiber chirped pulse amplifiers,” Opt. Express 21, 3897 (2013).
[Crossref] [PubMed]

P. Rigaud, V. Kermene, G. Bouwmans, L. Bigot, A. Desfarges-Berthelemot, D. Labat, A. Le Rouge, T. Mansuryan, and A. Barthélémy, “Spatially dispersive amplification in a 12-core fiber and femtosecond pulse synthesis by coherent spectral combining,” Opt. Express 21, 13555 (2013).
[Crossref] [PubMed]

L. P. Ramirez, M. Hanna, G. Bouwmans, H. El Hamzaoui, M. Bouazaoui, D. Labat, K. Delplace, J. Pouysegur, F. Guichard, P. Rigaud, V. Kermène, A. Desfarges-Berthelemot, A. Barthélémy, F. Prévost, L. Lombard, Y. Zaouter, F. Druon, and P. Georges, “Coherent beam combining with an ultrafast multicore Yb-doped fiber amplifier,” Opt. Express 23, 5406 (2015).
[Crossref] [PubMed]

P. Rigaud, V. Kermene, G. Bouwmans, L. Bigot, A. Desfarges-Berthelemot, and A. Barthélémy, “Spectral division amplification of a 40 nm bandwidth in a multicore Yb doped fiber and femtosecond pulse synthesis with in-fiber delay line,” Opt. Express 23, 27448 (2015).
[Crossref] [PubMed]

Opt. Lett. (2)

Phys. Rev. E (1)

B. Quesnel and P. Mora, “Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum,” Phys. Rev. E 58, 3719–3732 (1998).
[Crossref]

Rom. Rep. Phys. (1)

S. Simion, C. Blanaru, and D. Ursescu, “Design considerations for an interferometer for coherent combination of ultrashort laser pulses,” Rom. Rep. Phys. 62, 644–651 (2010).

Science (1)

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

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Figures (5)

Fig. 1
Fig. 1

Schematic design of the optical setup of the laser pulses in the case of spectral beam combining with a) 2 sources, b) 3 sources.

Fig. 2
Fig. 2

Spatial and temporal characteristics in the focal region for NCSCC of two laser sources. The 2D plots on the left illustrate the electric field distributions while the right plot shows the temporal evolution of the electric field envelope measured by monitors placed in the points marked with Mi: a) λ2 = 0.65μm; b) λ2 = 0.8μm; c) λ2 = 0.838μm.

Fig. 3
Fig. 3

a) Calculated pulse duration and b) the electromagnetic field distribution rotation in case of wavelength variation (750–850 nm).

Fig. 4
Fig. 4

Calculated pulse duration in case of wavelength variation (750–850 nm) for the case of three laser beams combination.

Fig. 5
Fig. 5

Calculated pulse duration in case of wavelength variation (750–850 nm) for the case of one, three, five and seven combined laser beams.

Equations (3)

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Φ ( x , z , t ) = A e x 2 / a 2 e t 2 / τ 2 sin ( 2 π T t + ϕ 0 )
E = x 2 x 1 ν 2 ν 1
E ( x ) = E ( x )

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