Signal And Energy Processing In Nanopatterned Materials

Timetable

Tuesday 16:00-17:30, room B-010
(the lecture starts on Oct.15)

Module aim (aims)

The lecture focuses on the wave excitations in periodic nanostructures. The students will learn how to describe and analyze different kinds of waves propagating in the nanocomposites of periodically patterned structures. They will become familiar with the basics of the theories of electromagnetic waves in photonics crystals, elastic waves in phononic crystals, and electronic waves in superconducting superlattices. The applications of the periodically patterned nanostructures will be discussed for signal processing and energy processing.

Pre-requisites in terms of knowledge, skills and social competences (where relevant)

It is strongly recommended for students to master the following topics form mathematical analysis, quantum mechanics, and electromagnetism:

1.Fundamental of calculus (derivatives, partial derivatives, definite and indefinite integrals), Fourier series,

2. Basics of vector analysis (dot and cross products, gradient, divergence, and curl in a Cartesian coordinate system),

3. Maxwell equations in differential form, wave equations for electric and magnetic fields in a uniform medium,

4. 1D Schrodinger equation and its solutions for basic systems (e.g. uniform medium and infinite quantum well).

Syllabus

1. Description of periodic structure in real and reciprocal space
2. Dispersion relation for Bloch waves
3. Electronic states in semiconductor superlattices
4. Tandem and intermediate band solar cells
5. Photonic crystals
6. Phononic crystals
7. Refraction in metamaterials

See: https://sylabus.amu.edu.pl/pl/1/19/3/3/6/70 , Fizyka (Physics of Advanced Materials for Energy Processing)\ Semest 1/ Signal and Energy Processing in Nanopatterned Materials

Reading list

Photonic Crystals: Molding the Flow of Light - second edition, J. D. Joannopoulos, S. G. Johnson, J. N. Winn, Princeton University Press (2008)

Introduction to Solid State Physics – eight edition, Ch. Kittel, Willey&Sons, Inc. (2005)

Elasticity: Theory, Applications, and Numerics, Martin H. Sadd, Academic Press (2020)