Abstract

A numerical method is presented for solving a system of equations for the forward and reverse waves of radiation with a superwide spectrum in a transparent optical waveguide with arbitrary dispersion and cubic nonlinearity. The method can be used to model the interaction of counterpropagating pulses, as well as to model the process of generating the reverse (self-reflected) wave if it was originally absent. A discussion is given of the formation of the wave reflected from the optical inhomogeneities of the medium, induced by an intense pulse consisting of three field vibrations in a quartz fiber. Its intensity is small, and therefore it has no reverse effect on the pulse of the forward wave. The spectrum of the reflected wave contains triple frequencies.

© 2014 Optical Society of America

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  1. G. P.  Agrawal, Nonlinear Fiber Optics (Academic, Boston, 2007, Mir, Moscow, 1996).
  2. S. A.  Akhmanov, V. A.  Vysloukh, A. S.  Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992; Nauka, Moscow, 1988).
  3. T.  Brabec, K.  Ferenc, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545 (2000).
    [CrossRef]
  4. V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
    [CrossRef]
  5. N. N.  Rozanov, “Transformation of optical radiation by fast-moving smooth inhomogeneities of a medium,” Opt. Spektrosk. 106, 487 (2009) [Opt. Spectrosc. 106, 430 (2009)].
  6. E. M.  Buyanovskaya, S. A.  Kozlov, “Dynamics of the fields of counterpropagating light pulses of a few oscillations in nonlinear dielectric media,” Pis'ma Zh. Eksp. Teor. Fiz. 86, 349 (2007) [JETP Lett. 86, 297 (2007)].
  7. P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
    [CrossRef]
  8. V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

2009

N. N.  Rozanov, “Transformation of optical radiation by fast-moving smooth inhomogeneities of a medium,” Opt. Spektrosk. 106, 487 (2009) [Opt. Spectrosc. 106, 430 (2009)].

2007

E. M.  Buyanovskaya, S. A.  Kozlov, “Dynamics of the fields of counterpropagating light pulses of a few oscillations in nonlinear dielectric media,” Pis'ma Zh. Eksp. Teor. Fiz. 86, 349 (2007) [JETP Lett. 86, 297 (2007)].

2005

P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
[CrossRef]

2002

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

2000

T.  Brabec, K.  Ferenc, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

Agrawal, G. P.

G. P.  Agrawal, Nonlinear Fiber Optics (Academic, Boston, 2007, Mir, Moscow, 1996).

Akhmanov, S. A.

S. A.  Akhmanov, V. A.  Vysloukh, A. S.  Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992; Nauka, Moscow, 1988).

Bespalov, V. G.

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

Brabec, T.

T.  Brabec, K.  Ferenc, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

Buyanovskaya, E. M.

E. M.  Buyanovskaya, S. A.  Kozlov, “Dynamics of the fields of counterpropagating light pulses of a few oscillations in nonlinear dielectric media,” Pis'ma Zh. Eksp. Teor. Fiz. 86, 349 (2007) [JETP Lett. 86, 297 (2007)].

Chirkin, A. S.

S. A.  Akhmanov, V. A.  Vysloukh, A. S.  Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992; Nauka, Moscow, 1988).

Ferenc, K.

T.  Brabec, K.  Ferenc, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

Kinsler, P.

P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
[CrossRef]

Kozlov, S. A.

E. M.  Buyanovskaya, S. A.  Kozlov, “Dynamics of the fields of counterpropagating light pulses of a few oscillations in nonlinear dielectric media,” Pis'ma Zh. Eksp. Teor. Fiz. 86, 349 (2007) [JETP Lett. 86, 297 (2007)].

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

New, G. H. C.

P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
[CrossRef]

Radnor, S. B. P.

P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
[CrossRef]

Rozanov, N. N.

N. N.  Rozanov, “Transformation of optical radiation by fast-moving smooth inhomogeneities of a medium,” Opt. Spektrosk. 106, 487 (2009) [Opt. Spectrosc. 106, 430 (2009)].

Shpolyanskii, Yu. A.

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

Shpolyanskiy, Yu. A.

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

Vysloukh, V. A.

S. A.  Akhmanov, V. A.  Vysloukh, A. S.  Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992; Nauka, Moscow, 1988).

Walmsley, I. A.

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

Opt. Spektrosk.

N. N.  Rozanov, “Transformation of optical radiation by fast-moving smooth inhomogeneities of a medium,” Opt. Spektrosk. 106, 487 (2009) [Opt. Spectrosc. 106, 430 (2009)].

Opt. Zh.

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiĭ, “Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media,” Opt. Zh. 67, No. 4, 5 (2000) [J. Opt. Technol. 67, 303 (2000)].

Phys. Rev. A

P.  Kinsler, S. B. P.  Radnor, G. H. C.  New, “Theory of directional pulse propagation,” Phys. Rev. A 72, 063807 (2005).
[CrossRef]

V. G.  Bespalov, S. A.  Kozlov, Yu. A.  Shpolyanskiy, I. A.  Walmsley, “Simplified field wave equations for the nonlinear propagation of extremely short light pulses,” Phys. Rev. A 66, 013811 (2002).
[CrossRef]

Pis'ma Zh. Eksp. Teor. Fiz.

E. M.  Buyanovskaya, S. A.  Kozlov, “Dynamics of the fields of counterpropagating light pulses of a few oscillations in nonlinear dielectric media,” Pis'ma Zh. Eksp. Teor. Fiz. 86, 349 (2007) [JETP Lett. 86, 297 (2007)].

Rev. Mod. Phys.

T.  Brabec, K.  Ferenc, “Intense few-cycle laser fields: frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545 (2000).
[CrossRef]

Other

G. P.  Agrawal, Nonlinear Fiber Optics (Academic, Boston, 2007, Mir, Moscow, 1996).

S. A.  Akhmanov, V. A.  Vysloukh, A. S.  Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992; Nauka, Moscow, 1988).

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