Abstract

General expressions obtained earlier for nonlinear photogeneration rates of electron–hole pairs (EHPs) under conditions of n-photon–one-photon resonance on adjacent interband transitions are used to analyze manifestations of the resonance optical Stark effect in the case n=4. Because of the appearance of new Van Hove singularities in the electronic band spectrum reconstructed in the field of a strong electromagnetic wave, the multiphoton EHP-generation rate W<sup>(4)</sup> is a nonmonotonic function of radiation intensity j and includes a region of extremely rapid growth, in which a small change of j causes W<sup>(4)</sup> to increase by several orders of magnitude.

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  1. S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).
  2. B. S.  Sharma, K. E.  Riekhof, “Laser-induced photoconductivity in silicate glasses by multiphoton excitation, a precursor of dielectric breakdown and mechanical damage,” Can. J. Phys. 45, 3781 (1967).
    [CrossRef]
  3. V. A.  Kovarskii, E. Yu.  Perlin, “Multi-photon interband optical transitions in crystals,” Phys. Status Solidi B 45, 47 (1971).
    [CrossRef]
  4. A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
    [CrossRef]
  5. S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
    [CrossRef]
  6. S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
    [CrossRef]
  7. X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
    [CrossRef]
  8. A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
    [CrossRef]
  9. M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
    [CrossRef]
  10. I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
    [CrossRef]
  11. B. S.  Sharma, K. E.  Riekhof, “Laser-induced dielectric breakdown and mechanical damage in silicate glasses,” Can. J. Phys. 48, 1178 (1970).
    [CrossRef]
  12. V. E.  Gruzdev, “Photoionization rate in wide band-gap crystals,” Phys. Rev. B 75, 205106 (2007).
    [CrossRef]
  13. V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].
  14. E. Yu.  Perlin, V. A.  Kovarskiĭ, “The effect of laser resonance radiation on the intrinsic absorption of light in crystals,” Fiz. Tverd. Tela (Leningrad) 12, 3105 (1970) [Sov. Phys. Solid State 12, 2512 (1970)].
  15. Y.  Yacoby, “Optical double resonance in solids,” Phys. Rev. B 1, 1666 (1970).
    [CrossRef]
  16. N.  Tzoar, J. I.  Gersten, “Theory of electronic band structure in intense laser fields,” Phys. Rev. B 12, 1132 (1975).
    [CrossRef]
  17. V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].
  18. Yu. I.  Balkareĭ, É. M.  Epshteĭn, “On the quasi-energetic spectrum of a semiconductor in the field of a strong electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 17, 2312 (1975) [Sov. Phys. Solid State 17, 1529 (1975)].
  19. E. Yu.  Perlin, “Optical Stark effect accompanying transient double resonance in semiconductors,” Zh. Eksp. Teor. Fiz. 105, 186 (1994) [JETP 78, 98 (1994)].
  20. E. Yu.  Perlin, A. V.  Fedorov, “Two-photon absorption monitored by the resonance optical Stark effect in crystals and quantum nanostructures,” Opt. Spektrosk. 78, 445 (1995) [Opt. Spectrosc. 78, 400 (1995)].
  21. E. Yu.  Perlin, A. V.  Fedorov, “Critical points of the electron band spectrum in the field of an electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 37, 1463 (1995) [Phys. Solid State 37, 792 (1995)].
  22. E. Yu.  Perlin, A. V.  Fedorov, “Quasi-steady-state optical Stark effect accompanying double interband resonance in anisotropic semiconductors,” Izv. Ross. Akad. Nauk Ser. Fiz. 60, No. 6, 164 (1996).
  23. E. Yu.  Perlin, D. I.  Stasel’ko, “Nonlinear excitation of AgBr nanocrystals in the field of short light pulses,” Opt. Spektrosk. 88, 57 (2000) [Opt. Spectrosc. 88, 50 (2000)].
  24. E. Yu.  Perlin, D. I.  Stasel’ko, “Multiphoton transitions and the resonant optical Stark effect in AgBr nanocrystals,” Opt. Spektrosk. 98, 944 (2005) [Opt. Spectrosc. 98, 844 (2005)].
  25. A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals accompanying double multiphoton resonance: I. Probabilities of interband transitions,” Opt. Spektrosk. 106, 756 (2009) [Opt. Spectrosc. 106, 677 (2009)].
  26. A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: II. Analysis of the effects of transformation of electronic band spectrum,” Opt. Spektrosk. 106, 764 (2009) [Opt. Spectrosc. 106, 685 (2009)].
  27. M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].
  28. M. A.  Bondarev, E. Yu.  Perlin, A. V.  Ivanov, “Multiphoton absorption monitored by the resonance optical Stark effect in crystals,” Opt. Spektrosk.115, No. 6 (2013) [in press].
  29. A. M.  Basharov, Photonics. The Method of Unitary Transformation in Nonlinear Optics (MIFI, Moscow, 1990).
  30. A. M.  Basharov, “The effective Hamiltonian method in nonlinear and quantum optics,” Teor. Fiz. 9, 7 (2008).
  31. L. A.  Hemstreet, C. Y.  Fong, “Electronic band structure and optical properties of 3C-SiC, BP, and BN,” Phys. Rev. B 6, 1464 (1972).
    [CrossRef]
  32. Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
    [CrossRef]

2012 (1)

M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].

2009 (2)

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals accompanying double multiphoton resonance: I. Probabilities of interband transitions,” Opt. Spektrosk. 106, 756 (2009) [Opt. Spectrosc. 106, 677 (2009)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: II. Analysis of the effects of transformation of electronic band spectrum,” Opt. Spektrosk. 106, 764 (2009) [Opt. Spectrosc. 106, 685 (2009)].

2008 (2)

A. M.  Basharov, “The effective Hamiltonian method in nonlinear and quantum optics,” Teor. Fiz. 9, 7 (2008).

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

2007 (1)

V. E.  Gruzdev, “Photoionization rate in wide band-gap crystals,” Phys. Rev. B 75, 205106 (2007).
[CrossRef]

2005 (2)

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

E. Yu.  Perlin, D. I.  Stasel’ko, “Multiphoton transitions and the resonant optical Stark effect in AgBr nanocrystals,” Opt. Spektrosk. 98, 944 (2005) [Opt. Spectrosc. 98, 844 (2005)].

2004 (1)

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

2000 (1)

E. Yu.  Perlin, D. I.  Stasel’ko, “Nonlinear excitation of AgBr nanocrystals in the field of short light pulses,” Opt. Spektrosk. 88, 57 (2000) [Opt. Spectrosc. 88, 50 (2000)].

1998 (2)

Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
[CrossRef]

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

1996 (1)

E. Yu.  Perlin, A. V.  Fedorov, “Quasi-steady-state optical Stark effect accompanying double interband resonance in anisotropic semiconductors,” Izv. Ross. Akad. Nauk Ser. Fiz. 60, No. 6, 164 (1996).

1995 (2)

E. Yu.  Perlin, A. V.  Fedorov, “Two-photon absorption monitored by the resonance optical Stark effect in crystals and quantum nanostructures,” Opt. Spektrosk. 78, 445 (1995) [Opt. Spectrosc. 78, 400 (1995)].

E. Yu.  Perlin, A. V.  Fedorov, “Critical points of the electron band spectrum in the field of an electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 37, 1463 (1995) [Phys. Solid State 37, 792 (1995)].

1994 (1)

E. Yu.  Perlin, “Optical Stark effect accompanying transient double resonance in semiconductors,” Zh. Eksp. Teor. Fiz. 105, 186 (1994) [JETP 78, 98 (1994)].

1989 (1)

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

1987 (2)

S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
[CrossRef]

X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
[CrossRef]

1977 (1)

A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
[CrossRef]

1975 (2)

N.  Tzoar, J. I.  Gersten, “Theory of electronic band structure in intense laser fields,” Phys. Rev. B 12, 1132 (1975).
[CrossRef]

Yu. I.  Balkareĭ, É. M.  Epshteĭn, “On the quasi-energetic spectrum of a semiconductor in the field of a strong electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 17, 2312 (1975) [Sov. Phys. Solid State 17, 1529 (1975)].

1972 (1)

L. A.  Hemstreet, C. Y.  Fong, “Electronic band structure and optical properties of 3C-SiC, BP, and BN,” Phys. Rev. B 6, 1464 (1972).
[CrossRef]

1971 (1)

V. A.  Kovarskii, E. Yu.  Perlin, “Multi-photon interband optical transitions in crystals,” Phys. Status Solidi B 45, 47 (1971).
[CrossRef]

1970 (3)

E. Yu.  Perlin, V. A.  Kovarskiĭ, “The effect of laser resonance radiation on the intrinsic absorption of light in crystals,” Fiz. Tverd. Tela (Leningrad) 12, 3105 (1970) [Sov. Phys. Solid State 12, 2512 (1970)].

Y.  Yacoby, “Optical double resonance in solids,” Phys. Rev. B 1, 1666 (1970).
[CrossRef]

B. S.  Sharma, K. E.  Riekhof, “Laser-induced dielectric breakdown and mechanical damage in silicate glasses,” Can. J. Phys. 48, 1178 (1970).
[CrossRef]

1969 (2)

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].

1967 (1)

B. S.  Sharma, K. E.  Riekhof, “Laser-induced photoconductivity in silicate glasses by multiphoton excitation, a precursor of dielectric breakdown and mechanical damage,” Can. J. Phys. 45, 3781 (1967).
[CrossRef]

Balkarei, Yu. I.

Yu. I.  Balkareĭ, É. M.  Epshteĭn, “On the quasi-energetic spectrum of a semiconductor in the field of a strong electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 17, 2312 (1975) [Sov. Phys. Solid State 17, 1529 (1975)].

Basharov, A. M.

A. M.  Basharov, “The effective Hamiltonian method in nonlinear and quantum optics,” Teor. Fiz. 9, 7 (2008).

A. M.  Basharov, Photonics. The Method of Unitary Transformation in Nonlinear Optics (MIFI, Moscow, 1990).

Bondarev, M. A.

M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].

M. A.  Bondarev, E. Yu.  Perlin, A. V.  Ivanov, “Multiphoton absorption monitored by the resonance optical Stark effect in crystals,” Opt. Spektrosk.115, No. 6 (2013) [in press].

Braunlich, P.

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
[CrossRef]

Braunlich, P. F.

X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
[CrossRef]

Braunlich, R. F.

S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
[CrossRef]

Casper, R. T.

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

Cheng, Z.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Elesin, V. F.

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].

Eliseev, P. G.

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

Epshtein, É. M.

Yu. I.  Balkareĭ, É. M.  Epshteĭn, “On the quasi-energetic spectrum of a semiconductor in the field of a strong electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 17, 2312 (1975) [Sov. Phys. Solid State 17, 1529 (1975)].

Fedorov, A. V.

E. Yu.  Perlin, A. V.  Fedorov, “Quasi-steady-state optical Stark effect accompanying double interband resonance in anisotropic semiconductors,” Izv. Ross. Akad. Nauk Ser. Fiz. 60, No. 6, 164 (1996).

E. Yu.  Perlin, A. V.  Fedorov, “Two-photon absorption monitored by the resonance optical Stark effect in crystals and quantum nanostructures,” Opt. Spektrosk. 78, 445 (1995) [Opt. Spectrosc. 78, 400 (1995)].

E. Yu.  Perlin, A. V.  Fedorov, “Critical points of the electron band spectrum in the field of an electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 37, 1463 (1995) [Phys. Solid State 37, 792 (1995)].

Fong, C. Y.

L. A.  Hemstreet, C. Y.  Fong, “Electronic band structure and optical properties of 3C-SiC, BP, and BN,” Phys. Rev. B 6, 1464 (1972).
[CrossRef]

Galitskii, V. M.

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].

Gersten, J. I.

N.  Tzoar, J. I.  Gersten, “Theory of electronic band structure in intense laser fields,” Phys. Rev. B 12, 1132 (1975).
[CrossRef]

Goreslavskii, S. P.

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].

Gruzdev, V. E.

V. E.  Gruzdev, “Photoionization rate in wide band-gap crystals,” Phys. Rev. B 75, 205106 (2007).
[CrossRef]

Guizard, S.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Hemstreet, L. A.

L. A.  Hemstreet, C. Y.  Fong, “Electronic band structure and optical properties of 3C-SiC, BP, and BN,” Phys. Rev. B 6, 1464 (1972).
[CrossRef]

Holzwarth, N. A. W.

Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
[CrossRef]

Huttman, G.

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

Ivanov, A. V.

M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals accompanying double multiphoton resonance: I. Probabilities of interband transitions,” Opt. Spektrosk. 106, 756 (2009) [Opt. Spectrosc. 106, 677 (2009)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: II. Analysis of the effects of transformation of electronic band spectrum,” Opt. Spektrosk. 106, 764 (2009) [Opt. Spectrosc. 106, 685 (2009)].

M. A.  Bondarev, E. Yu.  Perlin, A. V.  Ivanov, “Multiphoton absorption monitored by the resonance optical Stark effect in crystals,” Opt. Spektrosk.115, No. 6 (2013) [in press].

Jones, S. C.

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
[CrossRef]

S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
[CrossRef]

Kautek, W.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Kelly, P.

A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
[CrossRef]

Kovarskii, V. A.

V. A.  Kovarskii, E. Yu.  Perlin, “Multi-photon interband optical transitions in crystals,” Phys. Status Solidi B 45, 47 (1971).
[CrossRef]

E. Yu.  Perlin, V. A.  Kovarskiĭ, “The effect of laser resonance radiation on the intrinsic absorption of light in crystals,” Fiz. Tverd. Tela (Leningrad) 12, 3105 (1970) [Sov. Phys. Solid State 12, 2512 (1970)].

Krausz, F.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Krokhin, O. N.

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

Kruger, J.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Lenzner, M.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Mao, S. S.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Mao, X.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Martin, P.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Men’kova, N. A.

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

Mourou, G.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Noack, J.

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

Paltauf, G.

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

Perlin, E. Yu.

M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: II. Analysis of the effects of transformation of electronic band spectrum,” Opt. Spektrosk. 106, 764 (2009) [Opt. Spectrosc. 106, 685 (2009)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals accompanying double multiphoton resonance: I. Probabilities of interband transitions,” Opt. Spektrosk. 106, 756 (2009) [Opt. Spectrosc. 106, 677 (2009)].

E. Yu.  Perlin, D. I.  Stasel’ko, “Multiphoton transitions and the resonant optical Stark effect in AgBr nanocrystals,” Opt. Spektrosk. 98, 944 (2005) [Opt. Spectrosc. 98, 844 (2005)].

E. Yu.  Perlin, D. I.  Stasel’ko, “Nonlinear excitation of AgBr nanocrystals in the field of short light pulses,” Opt. Spektrosk. 88, 57 (2000) [Opt. Spectrosc. 88, 50 (2000)].

E. Yu.  Perlin, A. V.  Fedorov, “Quasi-steady-state optical Stark effect accompanying double interband resonance in anisotropic semiconductors,” Izv. Ross. Akad. Nauk Ser. Fiz. 60, No. 6, 164 (1996).

E. Yu.  Perlin, A. V.  Fedorov, “Two-photon absorption monitored by the resonance optical Stark effect in crystals and quantum nanostructures,” Opt. Spektrosk. 78, 445 (1995) [Opt. Spectrosc. 78, 400 (1995)].

E. Yu.  Perlin, A. V.  Fedorov, “Critical points of the electron band spectrum in the field of an electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 37, 1463 (1995) [Phys. Solid State 37, 792 (1995)].

E. Yu.  Perlin, “Optical Stark effect accompanying transient double resonance in semiconductors,” Zh. Eksp. Teor. Fiz. 105, 186 (1994) [JETP 78, 98 (1994)].

V. A.  Kovarskii, E. Yu.  Perlin, “Multi-photon interband optical transitions in crystals,” Phys. Status Solidi B 45, 47 (1971).
[CrossRef]

E. Yu.  Perlin, V. A.  Kovarskiĭ, “The effect of laser resonance radiation on the intrinsic absorption of light in crystals,” Fiz. Tverd. Tela (Leningrad) 12, 3105 (1970) [Sov. Phys. Solid State 12, 2512 (1970)].

M. A.  Bondarev, E. Yu.  Perlin, A. V.  Ivanov, “Multiphoton absorption monitored by the resonance optical Stark effect in crystals,” Opt. Spektrosk.115, No. 6 (2013) [in press].

Petite, G.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Quere, F.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Riekhof, K. E.

B. S.  Sharma, K. E.  Riekhof, “Laser-induced dielectric breakdown and mechanical damage in silicate glasses,” Can. J. Phys. 48, 1178 (1970).
[CrossRef]

B. S.  Sharma, K. E.  Riekhof, “Laser-induced photoconductivity in silicate glasses by multiphoton excitation, a precursor of dielectric breakdown and mechanical damage,” Can. J. Phys. 45, 3781 (1967).
[CrossRef]

Russo, R. E.

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

Sartania, S.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Schmid, A.

A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
[CrossRef]

Sharma, B. S.

B. S.  Sharma, K. E.  Riekhof, “Laser-induced dielectric breakdown and mechanical damage in silicate glasses,” Can. J. Phys. 48, 1178 (1970).
[CrossRef]

B. S.  Sharma, K. E.  Riekhof, “Laser-induced photoconductivity in silicate glasses by multiphoton excitation, a precursor of dielectric breakdown and mechanical damage,” Can. J. Phys. 45, 3781 (1967).
[CrossRef]

Shen, X. A.

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
[CrossRef]

S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
[CrossRef]

Spielmann, C. H.

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Stasel’ko, D. I.

E. Yu.  Perlin, D. I.  Stasel’ko, “Multiphoton transitions and the resonant optical Stark effect in AgBr nanocrystals,” Opt. Spektrosk. 98, 944 (2005) [Opt. Spectrosc. 98, 844 (2005)].

E. Yu.  Perlin, D. I.  Stasel’ko, “Nonlinear excitation of AgBr nanocrystals in the field of short light pulses,” Opt. Spektrosk. 88, 57 (2000) [Opt. Spectrosc. 88, 50 (2000)].

Tzoar, N.

N.  Tzoar, J. I.  Gersten, “Theory of electronic band structure in intense laser fields,” Phys. Rev. B 12, 1132 (1975).
[CrossRef]

Vogel, A.

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

Williams, R. T.

Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
[CrossRef]

Yacoby, Y.

Y.  Yacoby, “Optical double resonance in solids,” Phys. Rev. B 1, 1666 (1970).
[CrossRef]

Zavestovskaya, I. N.

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

Zhang, Y.

Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
[CrossRef]

Appl. Phys. A (2)

S. S.  Mao, F.  Quere, S.  Guizard, X.  Mao, R. E.  Russo, G.  Petite, P.  Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys. A 79, 1695 (2004).

I. N.  Zavestovskaya, P. G.  Eliseev, O. N.  Krokhin, N. A.  Men’kova, “Analysis of the nonlinear absorption mechanisms in ablation of transparent materials by high-intensity and ultrashort laser pulses,” Appl. Phys. A 92, 903 (2008).
[CrossRef]

Appl. Phys. B (1)

A.  Vogel, J.  Noack, G.  Huttman, G.  Paltauf, “Mechanisms of femtosecond laser nanosurgery of cells and tissues,” Appl. Phys. B 81, 1015 (2005).
[CrossRef]

Can. J. Phys. (2)

B. S.  Sharma, K. E.  Riekhof, “Laser-induced dielectric breakdown and mechanical damage in silicate glasses,” Can. J. Phys. 48, 1178 (1970).
[CrossRef]

B. S.  Sharma, K. E.  Riekhof, “Laser-induced photoconductivity in silicate glasses by multiphoton excitation, a precursor of dielectric breakdown and mechanical damage,” Can. J. Phys. 45, 3781 (1967).
[CrossRef]

Fiz. Tverd. Tela (Leningrad) (3)

Yu. I.  Balkareĭ, É. M.  Epshteĭn, “On the quasi-energetic spectrum of a semiconductor in the field of a strong electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 17, 2312 (1975) [Sov. Phys. Solid State 17, 1529 (1975)].

E. Yu.  Perlin, V. A.  Kovarskiĭ, “The effect of laser resonance radiation on the intrinsic absorption of light in crystals,” Fiz. Tverd. Tela (Leningrad) 12, 3105 (1970) [Sov. Phys. Solid State 12, 2512 (1970)].

E. Yu.  Perlin, A. V.  Fedorov, “Critical points of the electron band spectrum in the field of an electromagnetic wave,” Fiz. Tverd. Tela (Leningrad) 37, 1463 (1995) [Phys. Solid State 37, 792 (1995)].

Izv. Ross. Akad. Nauk Ser. Fiz. (1)

E. Yu.  Perlin, A. V.  Fedorov, “Quasi-steady-state optical Stark effect accompanying double interband resonance in anisotropic semiconductors,” Izv. Ross. Akad. Nauk Ser. Fiz. 60, No. 6, 164 (1996).

Opt. Eng. (1)

S. C.  Jones, P.  Braunlich, R. T.  Casper, X. A.  Shen, “Recent progress on laser-induced modifications and intrinsic bulk damage of wide-gap optical materials,” Opt. Eng. 28, 281039 (1989).
[CrossRef]

Opt. Spektrosk. (6)

E. Yu.  Perlin, D. I.  Stasel’ko, “Nonlinear excitation of AgBr nanocrystals in the field of short light pulses,” Opt. Spektrosk. 88, 57 (2000) [Opt. Spectrosc. 88, 50 (2000)].

E. Yu.  Perlin, D. I.  Stasel’ko, “Multiphoton transitions and the resonant optical Stark effect in AgBr nanocrystals,” Opt. Spektrosk. 98, 944 (2005) [Opt. Spectrosc. 98, 844 (2005)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals accompanying double multiphoton resonance: I. Probabilities of interband transitions,” Opt. Spektrosk. 106, 756 (2009) [Opt. Spectrosc. 106, 677 (2009)].

A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: II. Analysis of the effects of transformation of electronic band spectrum,” Opt. Spektrosk. 106, 764 (2009) [Opt. Spectrosc. 106, 685 (2009)].

M. A.  Bondarev, A. V.  Ivanov, E. Yu.  Perlin, “Prebreakdown excitation of crystals at double multiphoton resonance: III. Forbidden transitions,” Opt. Spektrosk. 112, 115 (2012) [Opt. Spectrosc. 112, 106 (2012)].

E. Yu.  Perlin, A. V.  Fedorov, “Two-photon absorption monitored by the resonance optical Stark effect in crystals and quantum nanostructures,” Opt. Spektrosk. 78, 445 (1995) [Opt. Spectrosc. 78, 400 (1995)].

Phys. Rev. B (8)

A.  Schmid, P.  Kelly, P.  Braunlich, “Optical breakdown in alkali halides,” Phys. Rev. B 16, 4569 (1977).
[CrossRef]

L. A.  Hemstreet, C. Y.  Fong, “Electronic band structure and optical properties of 3C-SiC, BP, and BN,” Phys. Rev. B 6, 1464 (1972).
[CrossRef]

Y.  Zhang, N. A. W.  Holzwarth, R. T.  Williams, “Electronic band structures of the scheelite materials CaMoO4, CaWO4, PbMoO4, and PbWO4,” Phys. Rev. B 57, 12738 (1998).
[CrossRef]

S. C.  Jones, X. A.  Shen, R. F.  Braunlich, “Mechanism of prebreakdown nonlinear energy deposition from intense photon field at 532  nm in NaCl,” Phys. Rev. B 35, 894 (1987).
[CrossRef]

X. A.  Shen, S. C.  Jones, P. F.  Braunlich, “Four-photon absorption cross section in potassium bromide at 532  nm,” Phys. Rev. B 36, 2831 (1987).
[CrossRef]

V. E.  Gruzdev, “Photoionization rate in wide band-gap crystals,” Phys. Rev. B 75, 205106 (2007).
[CrossRef]

Y.  Yacoby, “Optical double resonance in solids,” Phys. Rev. B 1, 1666 (1970).
[CrossRef]

N.  Tzoar, J. I.  Gersten, “Theory of electronic band structure in intense laser fields,” Phys. Rev. B 12, 1132 (1975).
[CrossRef]

Phys. Rev. Lett. (1)

M.  Lenzner, J.  Kruger, S.  Sartania, Z.  Cheng, C. H.  Spielmann, G.  Mourou, W.  Kautek, F.  Krausz, “Femtosecond optical breakdown in dielectric,” Phys. Rev. Lett. 80, 4076 (1998).
[CrossRef]

Phys. Status Solidi B (1)

V. A.  Kovarskii, E. Yu.  Perlin, “Multi-photon interband optical transitions in crystals,” Phys. Status Solidi B 45, 47 (1971).
[CrossRef]

Teor. Fiz. (1)

A. M.  Basharov, “The effective Hamiltonian method in nonlinear and quantum optics,” Teor. Fiz. 9, 7 (2008).

Zh. Eksp. Teor. Fiz. (3)

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnetic wave,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1969)].

E. Yu.  Perlin, “Optical Stark effect accompanying transient double resonance in semiconductors,” Zh. Eksp. Teor. Fiz. 105, 186 (1994) [JETP 78, 98 (1994)].

V. M.  Galitskiĭ, S. P.  Goreslavskiĭ, V. F.  Elesin, “Electric and magnetic properties of a semiconductor in the field of a strong electromagnet,” Zh. Eksp. Teor. Fiz. 57, 207 (1969) [Sov. Phys. JETP 30, 117 (1970)].

Other (2)

M. A.  Bondarev, E. Yu.  Perlin, A. V.  Ivanov, “Multiphoton absorption monitored by the resonance optical Stark effect in crystals,” Opt. Spektrosk.115, No. 6 (2013) [in press].

A. M.  Basharov, Photonics. The Method of Unitary Transformation in Nonlinear Optics (MIFI, Moscow, 1990).

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