Nonlinear pulse propagation - the Keller Group

Comparison of SPM and GDD
Everything calculated for an initially 10-fs long Gaussian pulse
φ 2
After SPM (n 2 >0):
( t) = −kn 2
I ( t) L K
= −kn 2
L K
A( t) 2 ≡ −δ A( t) 2
After 100 fs 2 of GDD:
ϕ(ω ) = 1 2 ⋅100 fs2 ⋅( ω − ω 0 ) 2
• “Red” before “blue”
• Chirp is (mostly) linear in center
⇒ Negative GDD can compensate linear chirp in center of SPM broadened pulse