Abstract

A synthesis technique allowing to obtain a set of robust designs is reported. The robust synthesis is based on simultaneous optimization of spectral characteristics of multiple designs located in a small neighborhood of a so-called pivotal design. Efficiency of this technique is demonstrated by the synthesis and successful experimental realization of a high dispersive mirror. The fabricated dispersive mirror covers 690-890 nm wavelength range and provides the dispersion of −300 fs2 at 800 nm.

© 2011 OSA

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2011 (1)

J. Birge, F. Kärtner, and O. Nohadani, “Improving thin-film manufacturing yield with robust optimization,” Appl. Opt. 50(9), C36–C40 (2011).
[CrossRef] [PubMed]

2009 (5)

V. Pervak, M. Trubetskov, and A. Tikhonravov, “Design consideration for high damage threshold UV-Vis-IR mirrors,” SPIE Proc. 7504, 75040A (2009).
[CrossRef]

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[CrossRef]

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (2009).
[CrossRef]

2008 (3)

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] [PubMed]

M. Trubetskov, A. Tikhonravov, and V. Pervak, “Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory,” Opt. Express 16(25), 20637–20647 (2008).
[CrossRef] [PubMed]

O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt. 47(14), 2630–2636 (2008).
[CrossRef] [PubMed]

2007 (7)

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46(8), 1190–1193 (2007).
[CrossRef] [PubMed]

V. Pervak, F. Krausz, and A. Apolonski, “Hafnium oxide films made by magnetron sputtering system,” Thin Solid Films 515, 7984–7989 (2007).
[CrossRef]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (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] [PubMed]

V. Pervak, F. Krausz, and A. Apolonski, “Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers,” Opt. Lett. 32(9), 1183–1185 (2007).
[CrossRef] [PubMed]

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 87(1), 5–12 (2007).
[CrossRef]

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

2006 (2)

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

P. Baum, M. Breuer, E. Riedle, and G. Steinmeyer, “Brewster-angled chirped mirrors for broadband pulse compression without dispersion oscillations,” Opt. Lett. 31(14), 2220–2222 (2006).
[CrossRef] [PubMed]

2005 (2)

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

2003 (4)

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83(5), 839 (2003).
[CrossRef]

K. Yamane, Z. Zhang, K. Oka, R. Morita, M. Yamashita, and A. Suguro, “Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,” Opt. Lett. 28(22), 2258–2260 (2003).
[CrossRef] [PubMed]

G. Steinmeyer, “Brewster-angled chirped mirrors for high-fidelity dispersion compensation and bandwidths exceeding one optical octave,” Opt. Express 11(19), 2385–2396 (2003).
[CrossRef] [PubMed]

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

2001 (4)

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

2000 (5)

T. Brabec and F. Krausz, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2000).
[CrossRef]

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85(3), 562–565 (2000).
[CrossRef] [PubMed]

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, “Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics,” Appl. Phys. B 71(4), 509–522 (2000).
[CrossRef]

1999 (2)

N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[CrossRef]

O. Albert and G. Mourou, “Single optical cycle laser pulse in the visible and near-infrared spectral range,” Appl. Phys. B 69(3), 207–209 (1999).
[CrossRef]

1997 (2)

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
[CrossRef] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

1996 (1)

A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
[CrossRef] [PubMed]

1994 (2)

A. E. Kaplan, “Subfemtosecond pulses in mode-locked 2 π solitons of the cascade stimulated Raman scattering,” Phys. Rev. Lett. 73(9), 1243–1246 (1994).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19(3), 201–203 (1994).
[CrossRef] [PubMed]

1993 (1)

A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings,” Comput. Math. Math. Phys. 33, 1339–1352 (1993).

1990 (1)

T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Commun. 80(1), 71–75 (1990).
[CrossRef]

1982 (1)

A. V. Tikhonravov, ““Synthesis of optical coatings using optimality conditions,” Vestn. Mosk. Univ., Fiz,” Astron. 23, 91–93 (1982).

1960 (1)

T. H. Maiman, “Stimulated Optical Radiation in Ruby,” Nature 187(4736), 493–494 (1960).
[CrossRef]

1958 (1)

A. L. Schawlow and C. H. Townes, “Infrared and Optical Masers,” Phys. Rev. 112(6), 1940–1949 (1958).
[CrossRef]

Ahmad, I.

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (2009).
[CrossRef]

Aközbeck, N.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Albert, O.

O. Albert and G. Mourou, “Single optical cycle laser pulse in the visible and near-infrared spectral range,” Appl. Phys. B 69(3), 207–209 (1999).
[CrossRef]

Amotchkina, T. V.

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

Angelow, G.

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

Apai, P.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

Apolonski, A.

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (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] [PubMed]

V. Pervak, F. Krausz, and A. Apolonski, “Hafnium oxide films made by magnetron sputtering system,” Thin Solid Films 515, 7984–7989 (2007).
[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 87(1), 5–12 (2007).
[CrossRef]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46(8), 1190–1193 (2007).
[CrossRef] [PubMed]

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

V. Pervak, F. Krausz, and A. Apolonski, “Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers,” Opt. Lett. 32(9), 1183–1185 (2007).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Austin, R. R.

B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

Bacovic, B.

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

Baltuska, A.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

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P. Baum, M. Breuer, E. Riedle, and G. Steinmeyer, “Brewster-angled chirped mirrors for broadband pulse compression without dispersion oscillations,” Opt. Lett. 31(14), 2220–2222 (2006).
[CrossRef] [PubMed]

Becker, A.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Bertsimas, D. J.

O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt. 47(14), 2630–2636 (2008).
[CrossRef] [PubMed]

Birge, J.

J. Birge, F. Kärtner, and O. Nohadani, “Improving thin-film manufacturing yield with robust optimization,” Appl. Opt. 50(9), C36–C40 (2011).
[CrossRef] [PubMed]

Birge, J. R.

O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt. 47(14), 2630–2636 (2008).
[CrossRef] [PubMed]

Bloemer, M.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Boiko, A.

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

Brabec, T.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

T. Brabec and F. Krausz, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2000).
[CrossRef]

Breuer, M.

P. Baum, M. Breuer, E. Riedle, and G. Steinmeyer, “Brewster-angled chirped mirrors for broadband pulse compression without dispersion oscillations,” Opt. Lett. 31(14), 2220–2222 (2006).
[CrossRef] [PubMed]

Cavalieri, A. L.

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Corkum, P.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

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M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
[CrossRef] [PubMed]

DeBell, G.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

DeBell, G. W.

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).
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A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
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B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

Dombi, P.

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

Drescher, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

Drexler, W.

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

Ell, R.

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

Ferencz, K.

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19(3), 201–203 (1994).
[CrossRef] [PubMed]

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A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Fuji, T.

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

Fujimoto, J. G.

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

Fulop, J.

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
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Fuss, W.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Gallmann, L.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, “Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics,” Appl. Phys. B 71(4), 509–522 (2000).
[CrossRef]

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B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

Goulielmakis, E.

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Gouliemakis, E.

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Grupe, D.

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
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T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Commun. 80(1), 71–75 (1990).
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A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85(3), 562–565 (2000).
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Haus, H. A.

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Heine, C.

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Heinzmann, U.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

Helml, W.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Hentschel, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

Horvath, B.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Ippen, E. P.

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
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F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
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B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

Kãârtner, F. X.

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
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Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83(5), 839 (2003).
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A. E. Kaplan, “Subfemtosecond pulses in mode-locked 2 π solitons of the cascade stimulated Raman scattering,” Phys. Rev. Lett. 73(9), 1243–1246 (1994).
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Karsch, S.

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (2009).
[CrossRef]

Kärtner, F.

J. Birge, F. Kärtner, and O. Nohadani, “Improving thin-film manufacturing yield with robust optimization,” Appl. Opt. 50(9), C36–C40 (2011).
[CrossRef] [PubMed]

Kärtner, F. X.

O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt. 47(14), 2630–2636 (2008).
[CrossRef] [PubMed]

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[CrossRef]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Keller, U.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, “Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics,” Appl. Phys. B 71(4), 509–522 (2000).
[CrossRef]

N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[CrossRef]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Kienberger, R.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
[CrossRef] [PubMed]

Kleineberg, U.

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
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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] [PubMed]

Suguro, A.

K. Yamane, Z. Zhang, K. Oka, R. Morita, M. Yamashita, and A. Suguro, “Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,” Opt. Lett. 28(22), 2258–2260 (2003).
[CrossRef] [PubMed]

Sutter, D. H.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, “Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics,” Appl. Phys. B 71(4), 509–522 (2000).
[CrossRef]

Svelto, O.

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
[CrossRef] [PubMed]

Szipocs, R.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

Szipöcs, R.

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19(3), 201–203 (1994).
[CrossRef] [PubMed]

Takada, H.

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83(5), 839 (2003).
[CrossRef]

Teisset, C.

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] [PubMed]

Tempea, G.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

Tikhonov, A. N.

A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings,” Comput. Math. Math. Phys. 33, 1339–1352 (1993).

Tikhonravov, A.

V. Pervak, M. Trubetskov, and A. Tikhonravov, “Design consideration for high damage threshold UV-Vis-IR mirrors,” SPIE Proc. 7504, 75040A (2009).
[CrossRef]

M. Trubetskov, A. Tikhonravov, and V. Pervak, “Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory,” Opt. Express 16(25), 20637–20647 (2008).
[CrossRef] [PubMed]

Tikhonravov, A. V.

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
[CrossRef] [PubMed]

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46(8), 1190–1193 (2007).
[CrossRef] [PubMed]

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 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] [PubMed]

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
[CrossRef] [PubMed]

A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings,” Comput. Math. Math. Phys. 33, 1339–1352 (1993).

A. V. Tikhonravov, ““Synthesis of optical coatings using optimality conditions,” Vestn. Mosk. Univ., Fiz,” Astron. 23, 91–93 (1982).

Tilsch, M.

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Torizuka, K.

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83(5), 839 (2003).
[CrossRef]

Townes, C. H.

A. L. Schawlow and C. H. Townes, “Infrared and Optical Masers,” Phys. Rev. 112(6), 1940–1949 (1958).
[CrossRef]

Trubetskov, M.

V. Pervak, M. Trubetskov, and A. Tikhonravov, “Design consideration for high damage threshold UV-Vis-IR mirrors,” SPIE Proc. 7504, 75040A (2009).
[CrossRef]

M. Trubetskov, A. Tikhonravov, and V. Pervak, “Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory,” Opt. Express 16(25), 20637–20647 (2008).
[CrossRef] [PubMed]

Trubetskov, M. K.

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
[CrossRef] [PubMed]

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46(8), 1190–1193 (2007).
[CrossRef] [PubMed]

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 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] [PubMed]

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
[CrossRef] [PubMed]

A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings,” Comput. Math. Math. Phys. 33, 1339–1352 (1993).

Trushin, S. A.

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (2009).
[CrossRef]

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Tschudi, T.

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

R. Ell, U. Morgner, F. X. Kãârtner, 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(6), 373–375 (2001).
[CrossRef]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
[CrossRef] [PubMed]

Uiberacker, M.

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

Unterhuber, A.

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

Van Engen, A. G.

B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
[CrossRef]

Veisz, L.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Verhoef, A. J.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

Walker, D. R.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85(3), 562–565 (2000).
[CrossRef] [PubMed]

Wobrauschek, P.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

Yakolev, V. S.

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[CrossRef]

Yakovlev, V.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

Yakovlev, V. S.

E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, “Attosecond control and measurement: lightwave electronics,” Science 317(5839), 769–775 (2007).
[CrossRef] [PubMed]

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

Yamane, K.

K. Yamane, Z. Zhang, K. Oka, R. Morita, M. Yamashita, and A. Suguro, “Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,” Opt. Lett. 28(22), 2258–2260 (2003).
[CrossRef] [PubMed]

Yamashita, M.

K. Yamane, Z. Zhang, K. Oka, R. Morita, M. Yamashita, and A. Suguro, “Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,” Opt. Lett. 28(22), 2258–2260 (2003).
[CrossRef] [PubMed]

Yavuz, D. D.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85(3), 562–565 (2000).
[CrossRef] [PubMed]

Yin, G. Y.

A. V. Sokolov, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Raman generation by phased and antiphased molecular states,” Phys. Rev. Lett. 85(3), 562–565 (2000).
[CrossRef] [PubMed]

Zhang, Z.

K. Yamane, Z. Zhang, K. Oka, R. Morita, M. Yamashita, and A. Suguro, “Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,” Opt. Lett. 28(22), 2258–2260 (2003).
[CrossRef] [PubMed]

Astron. (1)

A. V. Tikhonravov, ““Synthesis of optical coatings using optimality conditions,” Vestn. Mosk. Univ., Fiz,” Astron. 23, 91–93 (1982).

Appl. Opt. (6)

A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
[CrossRef] [PubMed]

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] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46(8), 1190–1193 (2007).
[CrossRef] [PubMed]

O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt. 47(14), 2630–2636 (2008).
[CrossRef] [PubMed]

J. Birge, F. Kärtner, and O. Nohadani, “Improving thin-film manufacturing yield with robust optimization,” Appl. Opt. 50(9), C36–C40 (2011).
[CrossRef] [PubMed]

T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt. 48(5), 949–956 (2009).
[CrossRef] [PubMed]

Appl. Phys. B (5)

T. Fuji, A. Unterhuber, V. S. Yakolev, G. Tempea, A. Stingl, F. Krausz, and W. Drexler, “Generation of smooth, ultra-broadband spectra directly from a prism-less Ti:sapphire laser,” Appl. Phys. B 77(1), 125–128 (2003).
[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 87(1), 5–12 (2007).
[CrossRef]

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers,” Appl. Phys. B 70, S51–S57 (2000).

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, “Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics,” Appl. Phys. B 71(4), 509–522 (2000).
[CrossRef]

O. Albert and G. Mourou, “Single optical cycle laser pulse in the visible and near-infrared spectral range,” Appl. Phys. B 69(3), 207–209 (1999).
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Appl. Phys. Lett. (1)

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83(5), 839 (2003).
[CrossRef]

Comput. Math. Math. Phys. (1)

A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings,” Comput. Math. Math. Phys. 33, 1339–1352 (1993).

IEEE J. Quantum Electron. (1)

N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
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J. Opt. Soc. Am. B (2)

F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. Am. B 18(6), 882–885 (2001).
[CrossRef]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18(11), 1747–1750 (2001).
[CrossRef]

N. J. Phys. (2)

N. Aközbeck, S. A. Trushin, A. Baltuska, W. Fuss, E. Gouliemakis, K. Kosma, F. Krausz, S. Panja, M. Uiberacker, W. E. Schmid, A. Becker, M. Scalore, and M. Bloemer, “Extending the supercontinuum spectrum down to 200 nm with few-cycle pulses,” N. J. Phys. 8(9), 177 (2006).
[CrossRef]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz, and R. Kienberger, “Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua,” N. J. Phys. 9(7), 242 (2007).
[CrossRef]

Nature (3)

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt X-rays,” Nature 433(7026), 596 (2005).
[CrossRef] [PubMed]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414(6863), 509–513 (2001).
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T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Commun. 80(1), 71–75 (1990).
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Opt. Express (6)

G. Steinmeyer, “Brewster-angled chirped mirrors for high-fidelity dispersion compensation and bandwidths exceeding one optical octave,” Opt. Express 11(19), 2385–2396 (2003).
[CrossRef] [PubMed]

P. Dombi, V. S. Yakovlev, K. O’Keeffe, T. Fuji, M. Lezius, and G. Tempea, “Pulse compression with time-domain optimized chirped mirrors,” Opt. Express 13(26), 10888–10894 (2005).
[CrossRef] [PubMed]

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] [PubMed]

M. Trubetskov, A. Tikhonravov, and V. Pervak, “Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory,” Opt. Express 16(25), 20637–20647 (2008).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, “Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses,” Opt. Express 17(4), 2207–2217 (2009).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, S. A. Trushin, Zs. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express 17(21), 19204–19212 (2009).
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Opt. Lett. (8)

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V. Pervak, F. Krausz, and A. Apolonski, “Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers,” Opt. Lett. 32(9), 1183–1185 (2007).
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B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, “Double Gires-Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers,” Opt. Lett. 25(4), 275–277 (2000).
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R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19(3), 201–203 (1994).
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F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22(11), 831–833 (1997).
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M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22(8), 522–524 (1997).
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Phys. Rev. (1)

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Figures (7)

Fig. 1
Fig. 1

Reflectance (black curve), target reflectances (red crosses), GDD (blue curve), target GDD (magenta crosses) and a corridor of GDD errors (grey area) for the conventional design.

Fig. 2
Fig. 2

Reflectance (black curve), target reflectances (red crosses), GDD (blue curve), target GDD (magenta crosses) and a corridor of GDD errors (grey area) for the robust design.

Fig. 3
Fig. 3

Layer thicknesses of the 92 layer conventional HDM design (a) and layer thicknesses of the 74 layer robust HDM design (b).

Fig. 4
Fig. 4

The penetration of electric field intensity versus coating coordinate of the conventional HDM.

Fig. 5
Fig. 5

The penetration of electric field intensity versus coating coordinate of the robust HDM.

Fig. 6
Fig. 6

The theoretical GDD (blue curve), measured GDD (red crosses) and a corridor of GDD errors (grey area) for the conventional design.

Fig. 7
Fig. 7

The theoretical GDD (blue curve), measured GDD (first run - red crosses, second run – orange crosses) and a corridor of GDD errors (grey area) for the robust design.

Tables (1)

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Table 1 Cauchy formula coefficients for the substrate and layer materials (wavelength in the Cauchy formula should be expressed in microns), and refractive index values at 0.8µm.

Equations (4)

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d i ( j ) = d i + δ i j , i = 1 , , N , j = 1 , , M ,
δ i j = N ( 0 , σ a b s 2 ) + N ( 0 , d i 2 σ r e l 2 )
Φ j = { 1 2 L l = 1 L [ R ( X j , λ l ) R ^ l Δ R l ] 2 + 1 2 L l = 1 L [ G D D ( X j , λ l ) G D ^ D l Δ G D D l ] 2 } 1 / 2 ,
Φ = { Φ 0 2 + j = 1 M Φ j 2 M + 1 } 1 / 2 .

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