By I Prigogine
Insurance contains 5 chapters entitled Criticality of Ionic Fluids; Mode Coupling thought method of Liquid country Dynamics; Anomalous Stochastic techniques within the Fractional Dynamics Framework: Fokker-Planck; second loose Energies for Polydisperse platforms; and Chemical Physics of the Electrode-Electrolyte Interface.
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Noting that γ1 = (dγ /dω)ω=ω0, the ratio γ1 /γ consists of the following three terms: γ1 (ω0 ) 1 1 + = γ (ω0 ) ω0 n2 dn 2 dω − ω = ω0 1 Aeff d Aeff dω . 37) ω = ω0 The first term provides the dominant contribution, but the second and third terms become important in the case of a supercontinuum that may extend over 100 THz or more . If spectral broadening is limited to 20 THz or so, one can employ γ1 ≈ γ /ω0. This approximation is often used in practice. If we combine the terms containing the derivative ∂ A/∂t, we find that the γ1 term forces the group velocity to depend on the optical intensity and leads to the phenomenon of self-steepening [33–37].
1 Variation of mode-width parameter ω with V obtained by fitting the fundamental fiber mode to a Gaussian distribution. 4. (After Ref. ) where A(ω) is a normalization constant. 12) ρ ≤ a, where ρ = (x 2 + y 2 )1/2 is the radial distance. 13) where Km(qρ) in Eq. 7) was approximated by the leading term in its asymptotic expansion and a constant factor was added to ensure the equality of F(x, y) at ρ = a. The propagation constant β(ω) in Eq. 8). Its frequency dependence results not only from the frequency dependence of n1 and nc but also from the frequency dependence of p.
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