Nonlinear Optics

1
Nonlinear Optics
T. Kippenberg (2006)
Tobias J. Kippenberg tjk_at_mpq.mpg.de T.W. Hänsch
Division
Lecture 15
2
Platzek Model of Raman scattering
Damped Harmonic Oscillator
Force due to an electric field
Response to the E field
Lecture 14
3
Raman susceptibility
T. Kippenberg (2006)
Lecture 14
4
Stokes Anti-Stokes Coupling
Lecture 14
5
3rd Order Nonlinear Processes
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2
3

• Linear Susceptibility (refractive index,
  absorption)
• Second order nonlinearity (e.g. solids without
  inversion symmetry)
• Third order nonlinearity

Lecture 14
6
Parametric Gain with XPM

• Equations of motion (for two pump fields F1, F2)

Pump
Lecture 14
7
Coupled 3rd Order Equations
Equations of motion for Stokes and Anti-Stokes
Lecture 14
8
Parametric Gain
Lecture 14
9
Parametric Amplification in a X(3) Medium
Lecture 14