Syllabus
1. Electromagnetic theory - electromagnetic waves, wave propagation in dielectrics. Light-matter interaction on the level of semiclassical description, dipole approximation, interaction of the field and atoms.
2. Optical resonators - cavity with two mirrors, conditions of stability. Optical waveguides with metallic and dielectric mirrors, modes of the waveguide, guiding conditions.
3. Periodical structures - Bragg diffraction, bragg mirrors, photonic crystals.
4. Condensed matter theory - crystal lattice, band structure, band gap. Semiconductors, metals, insulators, optical transitions.
5. Light-matter interaction - absorption, dispersion, optical gain. Two-level model, optical non-linearities.
6. Solid state nanostructures - energy levels, basic characterization of nanostructures, optical properties. Allowed and forbidden transitions, absorption, radiation, optical non-linearities.
7. Radiation of atoms in cavities - superradiation, Purcell effect, waveguide modulators.
8. Microcavities - polaritons, dispersion, non-linear interactions, magic angle.
9. Cavities in photonic crystals - quality of cavities, field distribution, non-linearities.
Annotation
The goal of this course is to present general optical phenomena connected with sub-micron structures on the basis of quantum mechanics and theory of electromagnetic field. First part of the course will be focused on basic characteristics of passive optical elements (waveguides, cavities, periodic structures) and on the interaction of electromagnrtic field with nanstructured materials (nanocrystals, quantum wells).
In the second part, the course will be concerned with combinations of the aforementioned elements (microcavities, photonic crystals, active waveguides).