Individual course details
Study programme			Theoretical and experimental physics
Chosen research area (module)
Nature and level of studies			Academic doctoral studies
Name of the course			Photonics - linear and nonlinear optics
Professor (lectures)			Branislav Jelenkovic
Professor/associate (examples/practical)
Professor/associate (additional)
ECTS			Status (required/elective)	required
Access requirements	Waves and optics, Physics of lasers
Aims of the course	Introduction to photonics through learning basics of linear and nonlinear interactions of light and matter, and their applications. Assessments of processes and methods for control of propagation of light through different medium. Introduction with matrix formalism for polarized light and with methods for induced anisotropy. Theoretical and practical understanding of electro-optical and magneto-optical effects. Presenting basics of theoretical and experimental laser-atom interactions. Learning about efficient non-linear interactions in crystals and atomic vapors
Learning outcomes	At the end of the cource students can, on their own, solve problems in nonlinear and quantum optics, and to apply aquired knowledge in fundamental and appled research in atomic physics, optics and optical metrology.
Contents of the course
Lectures	1. Polarization and diffraction optics: Transmission of light through anisotropic dielectric medium. Induced anisotropy. Transmission of light through waveguides and optical fibers - modes and polarizations and polarization of light. Superposition of waves. Diffraction. Gaussian optics. Fourier optics. Optics of non-diffractive beams. Propagation of light through periodic structures. Photonic crystals. Localization of light. 2. Atom-photon interactions: Atoms in external electric and magnetic fields. Semi-classical and quantum theory. Two level atom and coherent monochromatic field. Superposition of atomic levels. High resolution spectroscopy. Atom manipulation with light.  Controlling of atom motion and laser cooling - magneto-optical trap and dipole trap. 3. Nonlinear optics: Wave mixing, parametric photon conversion and photon entanglement. Conjugate photons. Two photon spectroscopy. Electromagnetically induced transparency in alkali atoms.. Light scattering in crystals. Acusto optics. Electro optic modulator. Solitons.
Examples/ practical classes	Laboratory practices. 1. Coupling light in optical fibers. 2. Polarization of light. Fresnel coefficinets. 3. Generation of new radial laser beam profiles using spatial light modulator. 4. Pockels effects in nonlinear crystal. 5. Laser frequency modulation with acusto-optical modulator. 6. Max-Zender electrooptical modulator. 7. Nonlinear microscope
Recommended books
1	Optics,  Е. Hecht, Pearsosn Education, 2003.
2	Fundamentals of Photonics, B. E. A. Saleh and M. C: Teich, Willey, 2007.
3	Polarization of light, S. Huard, John Willey &Sons, 1997.
4	Advances in Atomic Physics, C. Cohen-Tannoudji, D. Guery-Odelin, World Scientific, 2011.
5	Nonlinear Optics, R. W. Boyd, Academic Press, 1992.
Number of classes (weekly)
Lectures	Examples&practicals		Student project	Additional
6	4
Teaching and learning methods	Teaching, calculus, consultation, homework, lab exercises
Assessment (maximal 100)
assesed coursework		mark	examination	mark
coursework		10	written examination	30
practicals			oral examination	40
papers		20
presentations