Optical Solitons — Dispersion, SPM & Nonlinear Schrödinger

Nonlinear Schrödinger equation: i∂A/∂z = (β₂/2)∂²A/∂t² − γ|A|²A. Dispersion broadens pulses; SPM broadens spectrum. A fundamental soliton exists when N²=γP₀T₀²/|β₂|=1 — they perfectly balance.

Dispersion β₂ (×10⁻³) -1.0

Nonlinearity γ 1.0

Peak power P₀ 1.0

Pulse width T₀ 1.0

Soliton order N² = -

Disp length L_D = -

NL length L_NL = -

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