YoVDO

An Operator-Based Approach to Topological Photonics - Band Structures and Bloch Eigenstates Not Required

Offered By: PCS Institute for Basic Science via YouTube

Tags

Maxwell's Equations Courses Nonlinear Systems Courses Metasurface Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore an innovative operator-based approach to topological photonics in this 40-minute lecture by Alexander Cerjan from PCS Institute for Basic Science. Delve into a mathematical framework for determining a photonic structure's topology directly from its real-space description, bypassing the need for band structure or Bloch eigenstate calculations. Discover how this method, based on the photonic system's spectral localizer, yields local invariants protected by local gaps for every symmetry class. Learn about the emergence of non-trivial topology and boundary-localized resonances in photonic crystals lacking complete band gaps. Examine the extension of this approach to nonlinear systems, introducing quantitative definitions of topological nonlinear modes and topological dynamics. Gain insights into the exciting field of topological structures in photonics and their potential applications in linear and non-linear devices.

Syllabus

Alexander Cerjan: An Operator-Based Approach to Topological Photonics: Band Structures and Bloch Ei


Taught by

PCS Institute for Basic Science

Related Courses

電磁學(Electromagnetics)
National Taiwan University via Coursera
Электростатика и магнитостатика
Moscow Institute of Physics and Technology via Coursera
Electromagnetic Theory
Indian Institute of Technology Kanpur via Swayam
Electricity and Magnetism: Electrostatics
Massachusetts Institute of Technology via edX
Electricity and Magnetism: Magnetic Fields and Forces
Massachusetts Institute of Technology via edX