Within the course the students will gain knowledge on propagation of electromagnetic (EM) waves in versatile materials including dielectrics, structured materials such as fotonic lattices and photonic crystals. The students will be able to solve problems involving propagation of EM waves in linear waveguides. Finally, a brief introduction in plasmonics will be given.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
Upon completing the degree, students will be able to:
1. KNOWLEDGE AND UNDERSTANDING
1.2 demonstrate a thorough knowledge of advanced methods of theoretical physics including classical mechanics, classical electrodynamics, statistical physics and quantum physics
1.4 describe the state of the art in - at least- one of the presently active physics specialities
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.2 evaluate clearly the orders of magnitude in situations which are physically different, but show analogies, thus allowing the use of known solutions in new problems;
2.3 apply standard methods of mathematical physics, in particular mathematical analysis and linear algebra and corresponding numerical methods
2.5 perform numerical calculation independently, even when a small personal computer or a large computer is needed, including the development of simple software programs
3. MAKING JUDGEMENTS
3.2 develop a personal sense of responsibility, given the free choice of elective/optional courses
4. COMMUNICATION SKILLS
4.3 develop the written and oral English language communication skills that are essential for pursuing a career in physics
5. LEARNING SKILLS
5.1 search for and use physical and other technical literature, as well as any other sources of information relevant to research work and technical project development (good knowledge of technical English is required)
5.4 participate in projects which require advanced skills in modeling, analysis, numerical calculations and use of technologies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon completing the course Electromagnetic waves and optics the student will be able to:
1. qualitatively and quantitatively describe the dielectric response of materials in dependence of frequency, by using simple models for dielectrics;
2. describe the principles of operation of dielectric and metallic waveguides, and explain the frequency domain in which they operate;
3. solve the propagation of EM waves in dielectric photonic lattices by employing paraxial wave equation;
4. describe photonic crystals and the origin of their band gap structure;
5. qualitatively and quantitatively describe the EM properties of plasma;
6. qualitatively and quantitatively describe main features of surface plasmon-polaritons;
7. outline and describe the basic concepts of plasmonics.
Schedule of lectures per week (15 weeks total):
1. Macroscopic Maxwell equations, derivation, macroscopic and microscopic fields.
2. Frequency characteristics of dielectrics, conductors and plasma; simple classical harmonic oscillator model for describing dielectrics; jednostavni model za opis dielektrika; Kramers-Kronig relations
3. Superposition of waves, group velocity, Poynting vector
4. Dielectric waveguides, their understanding in terms of geometric optics, paraxial approximation, slowly varying amplitude approximation, analogy with the Schrodinger equation
5. Project assignment involving adopted concepts
6. Project assignment involving adopted concepts
7. Metallic waveguides, wave attenuation, resonant cavities, Q-factor
8. Photonic crystals, Bloch theorem, symmetries
9. 1D photonic crystals
10. 2D photonic crystals
11.-13. week - project assignment involving adopted concepts
14. week - surface plasmon polaritons
15. week - plasmons in graphene
REQUIREMENTS FOR STUDENTS:
Students are obliged to continuously perform tasks and project assignments week by week.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Success in completing the project assignments, performing calculations and exploring literature is graded during the semester. Final grade is concluded in the final oral exam.
- J.D. Jackson, Classical Electrodynamics
- John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn & Robert D. Meade, Photonic Crystals: Molding the Flow of Light (Second Edition); http://ab-initio.mit.edu/book/photonic-crystals-book.pdf
- Surface plasmon subwavelength optics, William L. Barnes, Alain Dereux & Thomas W. Ebbesen, Nature 424, (2003).