Abstract

Complementary pair of dispersive multilayers operating in the 2-4 µm spectral range were designed and produced for the first time. The mirrors comprise layers of Si and SiO2 thin-film materials. The pair exhibits unparalleled reflectance exceeding 99.7% and provides a group delay dispersion of (-200) fs2. The mirrors can be used in Cr:ZnS/Cr:ZnSe femtosecond lasers and amplifiers.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
    [Crossref]
  2. E. Fedulova, K. Fritsch, J. Brons, O. Pronin, T. Amotchkina, M. Trubetskov, F. Krausz, and V. Pervak, “Highly-dispersive mirrors reach new levels of dispersion,” Opt. Express 23(11), 13788 (2015).
    [Crossref]
  3. P. Dombi, P. Rácz, M. Lenner, V. Pervak, and F. Krausz, “Dispersion management in femtosecond laser oscillators with highly dispersive mirrors,” Opt. Express 17(22), 20598–20604 (2009).
    [Crossref]
  4. V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
    [Crossref]
  5. V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express 16(14), 10220–10233 (2008).
    [Crossref]
  6. K. Yang, H. Bromberger, H. Ruf, H. Schäfer, J. Neuhaus, T. Dekorsy, C. V.-B. Grimm, M. Helm, K. Biermann, and H. Künzel, “Passively mode-locked Tm,Ho:YAG laser at 2 µm based on saturable absorption of intersubband transitions in quantum wells,” Opt. Express 18(7), 6537 (2010).
    [Crossref]
  7. T. Amotchkina, M. Trubetskov, F. Habel, Y. Pervak, J. Zhang, K. Mak, O. Pronin, F. Krausz, and V. Pervak, “Synthesis, fabrication and characterization of a highly-dispersive mirrors for the 2 µm spectral range,” Opt. Express 25(9), 10234 (2017).
    [Crossref]
  8. S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
    [Crossref]
  9. I. T. Sorokina and E. Sorokin, “Femtosecond Cr2+ based lasers,” IEEE J. Sel. Top. Quantum Electron. 21(1), 273–291 (2015).
    [Crossref]
  10. V. Pervak, T. Amotchkina, Q. Wang, O. Pronin, K. F. Mak, and M. Trubetskov, “2/3 octave Si/SiO2 infrared dispersive mirrors open new horizons in ultrafast multilayer optics,” Opt. Express 27(1), 55 (2019).
    [Crossref]
  11. G. Steinmeyer, “Femtosecond dispersion compensation with multilayer coatings: toward the optical octave,” Appl. Opt. 45(7), 1484 (2006).
    [Crossref]
  12. V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
    [Crossref]
  13. A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
    [Crossref]
  14. A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .
  15. F. Habel, M. Trubetskov, and V. Pervak, “Group delay dispersion measurements in the mid-infrared spectral range of 2-20 µm,” Opt. Express 24(15), 16705–16710 (2016).
    [Crossref]

2019 (1)

2018 (1)

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

2017 (1)

2016 (1)

2015 (2)

2014 (1)

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

2012 (1)

2010 (1)

2009 (1)

2008 (1)

2007 (2)

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
[Crossref]

2006 (1)

Amotchkina, T.

Angelov, I. B.

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

Apolonski, A.

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express 16(14), 10220–10233 (2008).
[Crossref]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

Biermann, K.

Bromberger, H.

Brons, J.

DeBell, G. W.

Dekorsy, T.

Dergachev, A.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Dombi, P.

Fedorov, V.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Fedulova, E.

Fritsch, K.

Gapontsev, V.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Grimm, C. V.-B.

Habel, F.

Helm, M.

Krausz, F.

Künzel, H.

Lenner, M.

Mak, K.

Mak, K. F.

Martyshkin, D.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Mirov, M.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Mirov, S.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Moskalev, I.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Naumov, S.

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express 16(14), 10220–10233 (2008).
[Crossref]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

Neuhaus, J.

Peppers, J.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Pervak, V.

V. Pervak, T. Amotchkina, Q. Wang, O. Pronin, K. F. Mak, and M. Trubetskov, “2/3 octave Si/SiO2 infrared dispersive mirrors open new horizons in ultrafast multilayer optics,” Opt. Express 27(1), 55 (2019).
[Crossref]

T. Amotchkina, M. Trubetskov, F. Habel, Y. Pervak, J. Zhang, K. Mak, O. Pronin, F. Krausz, and V. Pervak, “Synthesis, fabrication and characterization of a highly-dispersive mirrors for the 2 µm spectral range,” Opt. Express 25(9), 10234 (2017).
[Crossref]

F. Habel, M. Trubetskov, and V. Pervak, “Group delay dispersion measurements in the mid-infrared spectral range of 2-20 µm,” Opt. Express 24(15), 16705–16710 (2016).
[Crossref]

E. Fedulova, K. Fritsch, J. Brons, O. Pronin, T. Amotchkina, M. Trubetskov, F. Krausz, and V. Pervak, “Highly-dispersive mirrors reach new levels of dispersion,” Opt. Express 23(11), 13788 (2015).
[Crossref]

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

P. Dombi, P. Rácz, M. Lenner, V. Pervak, and F. Krausz, “Dispersion management in femtosecond laser oscillators with highly dispersive mirrors,” Opt. Express 17(22), 20598–20604 (2009).
[Crossref]

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express 16(14), 10220–10233 (2008).
[Crossref]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

Pervak, Y.

Pronin, O.

Rácz, P.

Razskazovskaya, O.

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

Ruf, H.

Schäfer, H.

Smolski, V.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Sorokin, E.

I. T. Sorokina and E. Sorokin, “Femtosecond Cr2+ based lasers,” IEEE J. Sel. Top. Quantum Electron. 21(1), 273–291 (2015).
[Crossref]

Sorokina, I. T.

I. T. Sorokina and E. Sorokin, “Femtosecond Cr2+ based lasers,” IEEE J. Sel. Top. Quantum Electron. 21(1), 273–291 (2015).
[Crossref]

Steinmeyer, G.

Sugita, A.

Teisset, C.

Tikhonravov, A. V.

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
[Crossref]

A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .

Trubetskov, M.

Trubetskov, M. K.

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
[Crossref]

A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .

Vasilyev, S.

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

Vodopyanov, K. L.

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

Wang, Q.

Yang, K.

Zhang, J.

Adv. Opt. Technol. (1)

V. Pervak, O. Razskazovskaya, I. B. Angelov, K. L. Vodopyanov, and M. Trubetskov, “Dispersive mirror technology for ultrafast lasers in the range 220–4500 nm,” Adv. Opt. Technol. 3(1), 1–9 (2014).
[Crossref]

Appl. Opt. (2)

Appl. Phys. B: Lasers Opt. (1)

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B: Lasers Opt. 87(1), 5–12 (2007).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

S. Mirov, I. Moskalev, S. Vasilyev, V. Smolski, V. Fedorov, D. Martyshkin, J. Peppers, M. Mirov, A. Dergachev, and V. Gapontsev, “Frontiers of mid-IR lasers based on transition metal doped chalcogenides,” IEEE J. Sel. Top. Quantum Electron. 24(5), 1–29 (2018).
[Crossref]

I. T. Sorokina and E. Sorokin, “Femtosecond Cr2+ based lasers,” IEEE J. Sel. Top. Quantum Electron. 21(1), 273–291 (2015).
[Crossref]

Opt. Express (8)

E. Fedulova, K. Fritsch, J. Brons, O. Pronin, T. Amotchkina, M. Trubetskov, F. Krausz, and V. Pervak, “Highly-dispersive mirrors reach new levels of dispersion,” Opt. Express 23(11), 13788 (2015).
[Crossref]

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express 16(14), 10220–10233 (2008).
[Crossref]

V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express 20(4), 4503–4508 (2012).
[Crossref]

T. Amotchkina, M. Trubetskov, F. Habel, Y. Pervak, J. Zhang, K. Mak, O. Pronin, F. Krausz, and V. Pervak, “Synthesis, fabrication and characterization of a highly-dispersive mirrors for the 2 µm spectral range,” Opt. Express 25(9), 10234 (2017).
[Crossref]

V. Pervak, T. Amotchkina, Q. Wang, O. Pronin, K. F. Mak, and M. Trubetskov, “2/3 octave Si/SiO2 infrared dispersive mirrors open new horizons in ultrafast multilayer optics,” Opt. Express 27(1), 55 (2019).
[Crossref]

P. Dombi, P. Rácz, M. Lenner, V. Pervak, and F. Krausz, “Dispersion management in femtosecond laser oscillators with highly dispersive mirrors,” Opt. Express 17(22), 20598–20604 (2009).
[Crossref]

K. Yang, H. Bromberger, H. Ruf, H. Schäfer, J. Neuhaus, T. Dekorsy, C. V.-B. Grimm, M. Helm, K. Biermann, and H. Künzel, “Passively mode-locked Tm,Ho:YAG laser at 2 µm based on saturable absorption of intersubband transitions in quantum wells,” Opt. Express 18(7), 6537 (2010).
[Crossref]

F. Habel, M. Trubetskov, and V. Pervak, “Group delay dispersion measurements in the mid-infrared spectral range of 2-20 µm,” Opt. Express 24(15), 16705–16710 (2016).
[Crossref]

Other (1)

A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .

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Figures (6)

Fig. 1.
Fig. 1. (a) Reflectance R1, R2 of the designed DMs, DM1851-S and DM1851-L, respectively. (b) Group delay dispersion, GDD1, GDD2, of the designed DMs, DM1851-S and DM1851-L, respectively. Calculated reflectance RΣ (a) and GDDΣ (b) of the DM1851 complimentary pair.
Fig. 2.
Fig. 2. Design structure of DM1851-S (a) and DM1851-L (b).
Fig. 3.
Fig. 3. Comparison of the nominal and experimental reflectance of the samples DM1851-S (a,c) and DM1851-L (b,d). Experimental data recorded in two different spectral ranges is shown by red (near-infrared range) and blue (mid-infrared range) crosses. Panel on the bottom show the data in the operating range from 2 to 4 µm.
Fig. 4.
Fig. 4. Comparison of the nominal and experimental GD values of the samples DM1851-S (a) and DM1851-L (b).
Fig. 5.
Fig. 5. Comparison of the nominal and experimental GDD values of the samples DM1851-S (a) and DM1851-L (b).
Fig. 6.
Fig. 6. Input and output pulse simulations calculated after different bounce count.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

n ( λ ) = A 0 + A 1 ( λ 0 λ ) 2 + A 2 ( λ 0 λ ) 4
M F 2 = α 1 M F 1 2 + α 2 M F 2 2 + M F Σ 2 , M F 1 2 = j = 1 1000 ( R ( p ) ( X ( 1 ) ; λ j ) 100 Δ R , j ) 2 + j = 1 1000 ( G D D ( p ) ( X ( 1 ) ; λ j ) + 200 Δ G D D , j ) 2 , M F 2 2 = j = 1 1000 ( R ( p ) ( X ( 2 ) ; λ j ) 100 Δ R , j ) 2 + j = 1 1000 ( G D D ( p ) ( X ( 2 ) ; λ j ) + 200 Δ G D D , j ) 2 , M F Σ 2 = j = 1 1000 ( R Σ ( p ) ( λ j ) 100 Δ R , j ) 2 + j = 1 1000 ( G D D Σ ( p ) ( λ j ) + 200 Δ G D D , j ) 2 ,
R Σ = R ( p ) ( X ( 1 ) ) R ( p ) ( X ( 2 ) ) ,   G D D Σ = ( G D D ( p ) ( X ( 1 ) ) + G D D ( p ) ( X ( 2 ) ) ) / 2
R N = R ( D M 1 ) R ( D M N ) , G D D N = G D D 1 + + G D D N

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