Quantum Electronics II - Non Linear Optics

Quantum Electronics II - Non Linear Optics

Code
Φ-666
Level
Graduate
Category
B
Teacher
G. Siviloglou
ECTS
5
Hours
4
Semester
Spring
Display
Yes
Offered
Yes
Teacher Webpage
http://www.physics.uoc.gr/el/faculty/g.siviloglou
Goal of the course

This is an elective course and expands on the material covered in Φ-665 on the theory and technology of laser.

Program

Monday, 13:00-15:00, Αίθουσα 3 
Friday, 11:00-13:00, Αίθουσα 3

Syllabus
  • Introduction to Nonlinear Optics
    • Overview of linear vs. nonlinear optics.
    • Historical context and modern applications.
    • Nonlinear polarization: origin and physical interpretation.

  • The Nonlinear Susceptibility
    • Derivation of nonlinear polarization (P = χ^(1)E + χ^(2)E^2 + χ^(3)E^3 + ...).
    • Frequency mixing processes: second-harmonic and sum/difference frequency generation.

  • Quantum-Mechanical Theory of Nonlinear Susceptibility
    • Calculation of the nonlinear susceptibility from quantum mechanics.
    • Density matrix calculation of optical susceptibilities.

  • Wave Equation in Nonlinear Media
    • Maxwell's equations in nonlinear media.
    • Coupled-wave equations for second-harmonic generation.
    • Phase-matching conditions: types and techniques.

  • Three-Wave Mixing Processes
    • Parametric amplification and oscillation.
    • Experimental setups for second-harmonic and sum-frequency generation.

  • Four-Wave Mixing (FWM)
    • Derivation of FWM equations.
    • Applications in wavelength conversion and optical parametric oscillators.
    • Self-phase and cross-phase modulation.

  • The Kerr Effect and Self-Focusing
    • Intensity-dependent refractive index.
    • Derivation of self-focusing conditions.
    • Optical solitons in Kerr media.

  • Nonlinear Pulse Propagation
    • Nonlinear Schrödinger equation (NLSE).
    • Soliton solutions.
    • Dispersion and nonlinear effects in fibers.

  • Stimulated Scattering Phenomena
    • Stimulated Brillouin scattering (SBS).
    • Stimulated Raman scattering (SRS).

  • Nonlinear Optics in Materials
    • Nonlinear optical properties of different media (crystals, glasses, semiconductors, and polymers).
    • Phase-matching in anisotropic and isotropic media.
    • Recent advances in integrated optics and nanophotonics.

  • Nonlinear Optics in Atomic Systems
    • Giant nonlinearities in atomic gases
    • Nonlinear spectroscopy techniques.

  • Applications of Nonlinear Optics
    • Frequency comb generation.
    • Nonlinear optics in imaging and microscopy (e.g., two-photon microscopy).
    • Quantum optics and entangled photon generation.

  • Advanced Topics and Research Frontiers
    • High-order harmonic generation.
    • Nonlinear optics in ultrafast laser systems.
  • Review of current research and potential future developments.
Bibliography
  1. Boyd, R. W. Nonlinear Optics (4th Edition, 2020) 
  2. Shen, Y. R. The Principles of Nonlinear Optics (2003)