Quantum optics studies the properties of light and light-matter interaction from the grounds of modern quantum mechanics. You will learn the basic quantum concepts of photon and polariton, how one can entangle photons, and find out whether one can violate Heisenberg principle. The course aims at giving the students the basics of modern photonics and consider the basic practical tasks in this area. The course begins with a study of the theory of dielectric waveguides and optical resonators. The physical effects underlying the control of electromagnetic radiation are examined in detail. We will study methods that allow us to analyze the capture of light in resonators and it propagation in the simplest waveguide systems. The course presents the basics of the theory of photonic crystals and scattering theory
Part I. Theory of waveguides
- Dielectric and Metal waveguides: part 1
- Dielectric and Metal waveguides: part 2
- Goos-Hanchen shift. Losses in waveguides. Propagation length.
Part II. Theory of optical resonators
- Fabry-Perot resonator. Eigenmodes. Quasi-normal modes.
- Quality factor. Resonant transmission. Impedance matching and absorption.
- Whispering gallery mode resonators.
Part III. Photonic Crystals
- Bragg reflector. T-matrix. Lecture
- Band structure of 1D, 2D and 3D photonic crystals.
- Plane wave expansion. Tight binding approximation.
- Photonic crystal cavity. Seminar
Part IV. Coupled mode theory
- Reciprocity theorem. Orthogonality of waveguide modes.
- Coupling between resonators and waveguides. Сoupled mode theory (CMT)
Part V. Scattering theory
- Lippmann-Schwinger equation. S-matrix.
- S-matrix and coupled mode theory.
- Scattering cross-section. Extinction cross-section. Absorption cross-section
1. L. D. Landau, et al. Electrodynamics of continuous media. Vol. 8. Elsevier (2013). [ENG]
2. L. D. Landau, and E.M. Lifshitz. The classical theory of fields. (1971). [RUS]
3. L. Novotny and B. Hecht. Principles of nano-optics. Cambridge university press (2012). [ENG]
4. M. Born and E. Wolf. Principles of optics: electromagnetic theory of propagation, interference, and diffraction of light. Elsevier (2013).[ENG]
5. J. D. Joannopoulos, et al. Photonic crystals: molding the flow of light. Princeton university press (2011). [ENG]
6. K. Sakoda. Optical properties of photonic crystals. Vol. 80. Springer Science & Business Media (2004). [ENG]
7. A. W. Snyder and J. Love. Optical waveguide theory. Springer Science Business Media (2012) [ENG]
8. J. D. Jackson, John D. Classical Electrodynamics (3rd ed.). New York: John Wiley & Sons (1999). [ENG]
12. «Optics» Online course [RUS]
- There is a block of home problems, which are aim to help student in mastering the course (30- 40 problems of various level).
- During seminar classes the students are supposed to solve problems in class
Please see additional info in attached file (gradingpolicy.pdf)
As part of the midterm attestation, a colloquium is provided. It contains 8 basic questions of electrodynamics (midtermattestations.pdf)
Highest final grade for the course - 100
Highest final grade for the problem solving - 30
Highest final grade for the final oral examination - 70