Lecture course: Nonlinear Optics




Dr. A. Volkmer


I Principles of Nonlinear Optics - A classical introduction

-          The nonlinear polarization and susceptibility

-          Symmetry properties of the nonlinear susceptibility (overview of Chi_(2) and Chi_(3) phenomena)

-          Classical anharmonic oscillator model

-          Formal definition of the nonlinear susceptibility tensor

-          Parametric vs. non-paramteric processes


II Quantum-mechanical theory of the nonlinear optical susceptibility


III Wave equation description of nonlinear optical interactions


IV Overview: The generation and description of ultrashort laser pulses

-          Q-switching and mode-locking

-          Pulse compression techniques

-          Ultrashort laser pulse characterization (autocorrelation techniques, frequency-resolved optical gating (FROG))


V Sum- and difference frequency generation


VI The linear electro-optical effect

-          optical rectification

-          Pockels effect

-          electro-optic modulators


VII The intensity-dependent refractive index

-          self-focussing

-          self-phase modulation

-          optical phase conjugation

-          optical bi-stability (optical switching)

-          solitons


VIII Scattering processes

-          Spontaneous processes (Rayleigh, Brillouin, and Raman scattering)

-          Stimulated Raman scattering processes (SRS) (Raman gain/loss spectroscopy, Coherent anti-Stokes Raman scattering (CARS))

-          Stimulated Brillouin scattering (SBS)


IX Saturable absorption

-          Perturbation of a two-level system by a coherent field (density matrix formalism, optical nutation (Rabi oscillations), optical Bloch equations, free-induction decay (FID))

-          Super-radiance (coherent enhancement effect)

-          Photon echo spectroscopy

-          Self-induced transparency (SIT)


X Multiphoton processes

-          Two-photon transition probability and selection rules (and spectroscopic applications)

-          General description of multi-photon transitions (time-dependent higher-order perturbation theory, photo-selection of excited state population, and spectroscopic applications)


XI Intense-field nonlinear optics

-          High-harmonic generation

-          White-light generation (Attosecond physics)