| Title |
Quantum Electronics II - Non Linear Optics
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| Category |
B
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| ECTS |
5
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| Hours |
4
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| Level |
Graduate
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| Semester |
Spring
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| Teacher |
G. Siviloglou
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| Program |
Monday, 13:00-15:00, Αίθουσα 3
Friday, 11:00-13:00, Αίθουσα 3
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| Course Webpage |
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| 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.
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| 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.
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| Bibliography |
- Boyd, R. W. Nonlinear Optics (4th Edition, 2020)
- Shen, Y. R. The Principles of Nonlinear Optics (2003)
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