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Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
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3.R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964). For fused quartz, is caused by the electronic Kerr effect which has a response time of about
4.The normalization of R is taken to be where S is the geometrical cross‐sectional area.
5.V. I. Karpman and E. N. Krushkal, Zh. Eksp. Teor. Fiz. 55, 530 (1968)
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5.T. Taniuti and N. Yajima, J. Math. Phys. (to be published). For the guided mode, the derivation is somewhat intricate and will be published elsewhere.
5.See also J. W. Van Dam, Nagoya University Institute of Plasma Physics Report No. PPS136, 1972 (unpublished).
6.For example, for the mode this factor is given by where and are Bessel functions and is the first root of
7.A. Hasegawa and F. D. Tappert (unpublished).
8.V. J. Karpman, Zh. Eksp. Teor. Fiz. Pis’ma Red. 6, 829 (1967)
8.[V. J. Karpman, JETP Lett. 6, 277 (1967)];
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8.[L. A. Ostrovskii, Sov. Phys.‐JETP 24, 797 (1967)].
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9.[V. E. Zakharov and A. B. Shabat, Sov. Phys.‐JETP 34, 62 (1972)].
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