메뉴 건너뛰기




Volumn 14, Issue 1, 1997, Pages 51-61

Dynamical equations for wave packets in materials with both quadratic and cubic response

Author keywords

Dynamical equations; Nonlinear optics; Solitons

Indexed keywords


EID: 0031540458     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.14.000051     Document Type: Article
Times cited : (80)

References (36)
  • 2
    • 0000440099 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
    • V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
    • (1971) Zh. Eksp. Teor. Fiz. , vol.61 , pp. 118
    • Zakharov, V.E.1    Shabat, A.B.2
  • 3
    • 0002261929 scopus 로고
    • V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
    • (1972) Sov. Phys. JETP , vol.34 , pp. 62
  • 4
    • 84956263763 scopus 로고
    • Blow-up in nonlinear Schrödinger equations - I, a general review
    • J. J. Rasmussen and K. Rypdal, "Blow-up in nonlinear Schrödinger equations - I, A general review," Phys. Scr. 33, 481 (1986).
    • (1986) Phys. Scr. , vol.33 , pp. 481
    • Rasmussen, J.J.1    Rypdal, K.2
  • 7
    • 0010903925 scopus 로고
    • Self-action of light in crystals
    • L. A. Ostrovskii, "Self-action of light in crystals," Pis'ma Zh. Eksp. Teor. Fiz. 5, 331 (1967) [JETP Lett. 5, 272 (1967)].
    • (1967) Pis'ma Zh. Eksp. Teor. Fiz. , vol.5 , pp. 331
    • Ostrovskii, L.A.1
  • 8
    • 0000807633 scopus 로고
    • L. A. Ostrovskii, "Self-action of light in crystals," Pis'ma Zh. Eksp. Teor. Fiz. 5, 331 (1967) [JETP Lett. 5, 272 (1967)].
    • (1967) JETP Lett. , vol.5 , pp. 272
  • 9
    • 0001529129 scopus 로고
    • Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: Mutual focusing of beams and limitation on the efficiency of optical frequency converters
    • Yu. N. Karamzin and A. P. Sukhorukov, "Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters," JETP Lett. 20, 339 (1974).
    • (1974) JETP Lett. , vol.20 , pp. 339
    • Karamzin, Yu.N.1    Sukhorukov, A.P.2
  • 10
    • 49049151095 scopus 로고
    • On diffraction and dispersion effect on three wave interaction
    • A. A. Kanashov and A. M. Rubenshik, "On diffraction and dispersion effect on three wave interaction," Physica D 4, 122 (1981).
    • (1981) Physica D , vol.4 , pp. 122
    • Kanashov, A.A.1    Rubenshik, A.M.2
  • 11
    • 0028529723 scopus 로고
    • Spatial optical solitons governed by quadratic nonlinearity
    • A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612 (1994); "Solitons due to second harmonic generation," Phys. Lett. A 197, 407 (1995).
    • (1994) Opt. Lett. , vol.19 , pp. 1612
    • Buryak, A.V.1    Kivshar, Y.S.2
  • 12
    • 0000723734 scopus 로고
    • Solitons due to second harmonic generation
    • A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612 (1994); "Solitons due to second harmonic generation," Phys. Lett. A 197, 407 (1995).
    • (1995) Phys. Lett. A , vol.197 , pp. 407
  • 13
    • 0000330941 scopus 로고
    • Self-trapping of light beams and parametric solitons in diffractive quadratic materials
    • A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, "Self-trapping of light beams and parametric solitons in diffractive quadratic materials," Phys. Rev. A 52, 1670 (1995).
    • (1995) Phys. Rev. A , vol.52 , pp. 1670
    • Buryak, A.V.1    Kivshar, Y.S.2    Steblina, V.V.3
  • 16
    • 0000437022 scopus 로고
    • Instability of solitons governed by quadratic nonlinearities
    • D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, "Instability of solitons governed by quadratic nonlinearities," Phys. Rev. Lett. 75, 591 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 591
    • Pelinovsky, D.E.1    Buryak, A.V.2    Kivshar, Y.S.3
  • 17
    • 0000843683 scopus 로고
    • Nonlinear refraction of light on second-harmonic generation
    • USSR
    • N. R. Belashenkov, S. V. Gagarskii, and M. V. Inochkin, "Nonlinear refraction of light on second-harmonic generation," Opt. Spectrosc. (USSR) 66, 806 (1989) [Opt. Spektrosk. 66, 1383 (1989)].
    • (1989) Opt. Spectrosc. , vol.66 , pp. 806
    • Belashenkov, N.R.1    Gagarskii, S.V.2    Inochkin, M.V.3
  • 18
    • 0000248836 scopus 로고
    • N. R. Belashenkov, S. V. Gagarskii, and M. V. Inochkin, "Nonlinear refraction of light on second-harmonic generation," Opt. Spectrosc. (USSR) 66, 806 (1989) [Opt. Spektrosk. 66, 1383 (1989)].
    • (1989) Opt. Spektrosk. , vol.66 , pp. 1383
  • 20
    • 0027655173 scopus 로고
    • Large nonlinear phase modulation in quasi-phase-matched KTP waveguides as a result of cascaded second-order processes
    • M. L. Sundheimer, Ch. Bosshard, E. W. Van Stryland, G. I. Stegeman, and J. D. Bierlein, "Large nonlinear phase modulation in quasi-phase-matched KTP waveguides as a result of cascaded second-order processes," Opt. Lett. 18, 13 (1993).
    • (1993) Opt. Lett. , vol.18 , pp. 13
    • Sundheimer, M.L.1    Bosshard, Ch.2    Van Stryland, E.W.3    Stegeman, G.I.4    Bierlein, J.D.5
  • 22
    • 3943063014 scopus 로고
    • Nonlinear guided waves and their application
    • Nonlinear Guided Wave Phenomena, Optical Society of America, Washington, D.C.
    • X. Baek, R. Schiek, and G. I. Stegeman, "Nonlinear guided waves and their application," in Nonlinear Guided Wave Phenomena, Vol. 6 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 24.
    • (1995) 1995 OSA Technical Digest Series , vol.6 , pp. 24
    • Baek, X.1    Schiek, R.2    Stegeman, G.I.3
  • 23
    • 84894402093 scopus 로고    scopus 로고
    • Self-focusing and soliton-like structures in materials with competing quadratic and cubic nonlinearities
    • to be published
    • L. Bergé, O. Bang, J. J. Rasmussen, and V. K. Mezentsev, "Self-focusing and soliton-like structures in materials with competing quadratic and cubic nonlinearities," Phys. Rev. E (to be published).
    • Phys. Rev. E
    • Bergé, L.1    Bang, O.2    Rasmussen, J.J.3    Mezentsev, V.K.4
  • 24
    • 0027553689 scopus 로고
    • Self-modulation effects in quadratically nonlinear materials
    • A. G. Kalocsai and J. W. Haus, "Self-modulation effects in quadratically nonlinear materials," Opt. Commun. 97, 239 (1993).
    • (1993) Opt. Commun. , vol.97 , pp. 239
    • Kalocsai, A.G.1    Haus, J.W.2
  • 25
    • 0027608169 scopus 로고
    • Non-linear Schrödinger solitons in media with non-zero second-order nonlinear susceptibility
    • Q. Guo, "Non-linear Schrödinger solitons in media with non-zero second-order nonlinear susceptibility," Quantum Opt. 5, 133 (1993).
    • (1993) Quantum Opt. , vol.5 , pp. 133
    • Guo, Q.1
  • 26
    • 0041866299 scopus 로고
    • Interaction in frequency doubling of ultrashort laser pulses
    • Moscow
    • L. S. Telegin and A. S. Chirkin, "Interaction in frequency doubling of ultrashort laser pulses," Kvant. Elektron. (Moscow) 9, 2086 (1982) [Sov. J. Quantum Electron. 12, 1354 (1982)].
    • (1982) Kvant. Elektron. , vol.9 , pp. 2086
    • Telegin, L.S.1    Chirkin, A.S.2
  • 27
    • 0020194455 scopus 로고
    • L. S. Telegin and A. S. Chirkin, "Interaction in frequency doubling of ultrashort laser pulses," Kvant. Elektron. (Moscow) 9, 2086 (1982) [Sov. J. Quantum Electron. 12, 1354 (1982)].
    • (1982) Sov. J. Quantum Electron. , vol.12 , pp. 1354
  • 28
    • 0001615476 scopus 로고
    • Nonlinear parametric mixing instabilities induced by self-phase and cross-phase modulation
    • S. Trillo and S. Wabnitz, "Nonlinear parametric mixing instabilities induced by self-phase and cross-phase modulation," Opt. Lett. 17, 1572 (1992).
    • (1992) Opt. Lett. , vol.17 , pp. 1572
    • Trillo, S.1    Wabnitz, S.2
  • 30
    • 84894388731 scopus 로고
    • Optical solitons supported by competing nonlinearities
    • A. V. Buryak, Y. S. Kivshar, and S. Trillo, "Optical solitons supported by competing nonlinearities," Opt. Lett. 20, 1961 (1995).
    • (1995) Opt. Lett. , vol.20 , pp. 1961
    • Buryak, A.V.1    Kivshar, Y.S.2    Trillo, S.3
  • 31
    • 0001364189 scopus 로고
    • Coupled solitons in waveguides with second- and third-order nonlinearities
    • M. A. Karpierz, "Coupled solitons in waveguides with second- and third-order nonlinearities," Opt. Lett. 20, 1677 (1995).
    • (1995) Opt. Lett. , vol.20 , pp. 1677
    • Karpierz, M.A.1
  • 33
    • 0003437218 scopus 로고
    • Addison-Wesley, Reading, Mass., Chap. 12
    • H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, Mass., 1980), Chap. 12.
    • (1980) Classical Mechanics
    • Goldstein, H.1
  • 34
    • 33646974037 scopus 로고
    • Stationary solutions of the wave equation in a medium with nonlinearity saturation
    • M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Radiophys. Quantum Electron. 16, 783 (1975).
    • (1975) Radiophys. Quantum Electron. , vol.16 , pp. 783
    • Vakhitov, M.G.1    Kolokolov, A.A.2
  • 35
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, I
    • M. Grillakis, J. Shatah, and W. Strauss, "Stability theory of solitary waves in the presence of symmetry, I," J. Funct. Anal. 74, 160 (1987).
    • (1987) J. Funct. Anal. , vol.74 , pp. 160
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.