Fibre Kerr: n(I) = n_0 + n_2 I → self-phase modulation φ_SPM = γ P L_eff

Layer 1 — Physicsin the nonlinear-photonics subtree

Kerr effect in silica (fused SiO_2) fibre: the refractive index is intensity-dependent, n(I) = n_0 + n_2·I, with Kerr coefficient n_2 ≈ 2.6·10⁻²⁰ m²/W for silica. For a guided mode of power P_0 in effective modal area A_eff, the…

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SPM max chirp: δω_max = γ P_0 / T_0 at pulse edges (∂/∂t |A|²) for Gaussian pulse

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