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Topology and Synthetic Dimensions in Photonics
Last Updated: 2026-06-03 00:07:40
Abstract
This course introduces the foundations of electromagnetic wave dynamics in periodic structures, with an emphasis on topological band phenomena. We explore wave propagation in continuous and discrete spaces, and treat frequency and time as additional dimensions. We also examine how gain, loss and nonlinearities impact such systems and discuss how these principles enable advanced photonic devices.
Objective
By the end of the course, students will understand the principles of wave dynamics in periodic photonic systems and be able to analyze the topological properties of band structures. The students will be able to calculate the Berry phase and Chern numbers of photonic structures, classify the topology of bands, and test the bulk-boundary correspondence. Finally, we will learn how gain, loss, and nonlinearities act on the traditional band theory. Throughout the course, the students will engage in scientific communication, teamwork, creativity and learn how to interpret current literature on the topic.
Content
Photonic crystals and band theory Berry phase Chern numbers Bulk-boundary correspondence Active photonic lattices Non-Hermitian Topological effects Nonlinear optics and Topological photonics Synthetic Frequency Dimensions Photonic Time Crystals
Resources
Lecture Notes
Lecture notes will be distributed
Literature
“Photonic Crystals: Molding the Flow of Light”, J. Joannopoulos, S. Johnson, J. Winn.
General Information
- Language
- English
- Levels
- DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Topology and Synthetic Dimensions in Photonics | No time listed | 3 h weekly |
Offered In
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Track: Electronics and Photonics (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Electronics and Photonics", see . The individual study plan is subject to the tutor's approval.)
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Specialisation Courses (These specialisation courses are particularly recommended for the area of "Electronics and Photonics", but you are free to choose courses from any other field in agreement with your tutor. Semester / Research Projects are not allowed in this category. A minimum of 40 credits must be obtained from specialisation courses during the Master's Programme.)
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Doctorate Physics (More Information at: )
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Subject Specialisation (Please note that this is an INCOMPLETE list of courses.)
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Electives (This is a selection of courses particularly suitable for the MSc QE. In agreement with the tutor, students may choose other courses from the ETH course catalogue.)
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