1. Introduction to photonics
2. Ray Optics
a) simple optical components (mirrors, planar boundaries, lenses, light guides);
b) graded index-optics (the ray equation, graded index optical components);
c) matrix optics (the ray transfer matrix, matrices of simple optical components, cascaded optical components, periodic systems);
3. Wave and Beam Optics
a) monochromatic waves;
b) relation between ray optics and wave optics;
c) simple optical components;
d) interference;
e) polychromatic and pulsed light;
f) gaussian beams;
4. Fourier Optics
a) propagation in free space
b) diffraction of light
c) image formation
5. Recap of light-matter interactions
a) Maxwell’s equations in free space and in dielectric media
b) boundary conditions and constitutive relations
c) Wave equation
d) Poynting Theorem
e) Material properties: linear/nonlinear, homogeneous/inhomogeneous, isotropic/anisotropic, stationary/non-stationary, dispersive/non-dispersive
f) propagation in dispersive media: group velocity and group velocity dispersion
6. Polarization Optics
a) polarization of light
b) reflection and refraction
c) anisotropic media
d) liquid crystals
e) polarization devices
7. Resonators
a) planar resonators
b) two- and three-dimensional resonators
c) microresonators
8. Photonic Crystals
9. Plasmonics
10. Metamaterials
11. Lasers
a) theory of laser amplification
b) amplifier pumping
c) common laser amplifiers
d) theory of laser oscillation
e) characteristics of the laser output
f) common and pulsed lasers
12. Basics of numerical modeling of light-matter interaction
a) TMM;
b) FDTD;
c) BPM;
13. Numerical laboratory