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Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

A Conservative difference scheme is proposed for a problem of three femtosecond pulses interaction in medium with quadratic nonlinearity. Second order dispersion and dispersion of nonlinear response are taking into account under the consideration of femtosecond pulses propagation in nonlinear optical fiber.

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References

  1. Ahmanov, S.A., Vyslouh, V.A., Chirkin, A.S.: Optics of femtosecond laser pulses. Nauka, Moscow (1988) (In Russian)

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  2. Agraval, G.: Nonlinear fiber optics. Translated from English. Mir, Moscow (1996) (In Russian)

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  3. Sukhorukov, A.P.: Nonlinear wave interactions in optics and radio-physics. Nauka, Moscow (1988) (In Russian)

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  4. Trofimov, V.A., Volkov, A.G., Varentsova, S.A.: Influence of dispersion of nonlinear response on self-focusing of femtosecond pulse propagation in optical fiber. In: Derbov, V.L., et al. (eds.) Proceedings of SPIE Laser Physics and Photonics, Spectroscopy and Modeling II, vol. 4706, pp. 88–97 (2002)

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  5. Varentsova, S.A., Trofimov, V.A.: Invariants of nonlinear interaction femtosecond laser pulses in view of dispersion of the third order. J. of Calculation Math. & Math. Physics. 42, 709–717 (2002) (In Russian)

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  6. Trofimov, V.A.: On new approach to modelling of nonlinear propagation of supershort laser pulses. J. of Calculation Math. & Math. Physics. 38, 835–839 (1998) (In Russian)

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  7. Samarskii, A.A.: Theory of difference schemes. Nauka, Moscow (1989) (In Russian)

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  8. Borhanifar, A., Trofimov, V.A.: Comparison of efficiency of various approaches to computer simulation of nonlinear interaction of three femtosecond pulses in an optical fiber: Vestnik Moscow University. Series of calculations math. and cybernetics 2, 20–27 (2004) (In Russian)

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  9. Trofimov, V.A., Borhanifar, A.: Conservative difference schemes for three waves interaction of femtosecond pulses in optical fiber. In: International Conference Mathematical Modeling and Analysis, Trokai, Lituania, p. 76 (2003)

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© 2005 Springer-Verlag Berlin Heidelberg

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Trofimov, V.A., Borhanifar, A., Volkov, A.G. (2005). Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_64

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_64

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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