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Introduction to Lightwave Technologies

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This course is offered each Spring semester by the Department of Electrical and Computer Engineering at Aarhus University as part of our Photonics Teaching Program.

Overview

The course introduces the physical principles and system-level concepts behind modern photonic and lightwave technologies. Students gain a foundation in light propagation, photonic components, and integrated photonic systems, supported by simulations, laboratory demonstrations, and a design-oriented oral exam.

It is aimed at students with prior exposure to electromagnetism and optics who wish to work with photonics in research or advanced engineering contexts.

Watch a 1-minute introduction to the course: MP4

Course information

Course content

The course covers the fundamental principles and applications of photonics. Key subjects include:

  1. Basics of photonics: Explore the basics of electric and magnetic fields, and the propagation of light.
  2. Core optical components: Study of the working principles of lasers, waveguides, and photodetectors.
  3. Light modulation: Learn advanced techniques for modulating light for various applications.
  4. Integrated photonics systems: Design and analysis of photonic circuits and systems.
  5. Real-world applications: Discover how photonics revolutionizes telecommunications, medical imaging, and quantum computing.
  6. Hands-on lab work: Gain practical experience with state-of-the-art photonic devices and systems.

Purpose of the course

This course provides students with a solid foundation in the principles and applications of photonics. By covering essential topics such as electric and magnetic fields, light propagation, optical fibers, and photodetection, this course prepares electrical engineering students to tackle cutting-edge challenges in telecommunications, medical imaging, and quantum computing. It combines theoretical knowledge with practical lab exercises and offers networking opportunities with industry leaders. This course opens up new avenues for innovation and career opportunities in high-tech industries.

Learning outcome

  1. Master photonic basics: Analyze and explain light propagation, modulation, and detection, demonstrating a deep understanding of these fundamental concepts.
  2. Hands-on experience: Apply and demonstrate proficiency with cutting-edge photonic devices, including optical fibers and photodetectors.
  3. Systems integration: Synthesize knowledge to design and analyze complex photonic systems, enhancing your problem-solving abilities.
  4. Innovative design: Create and develop novel photonic solutions for advanced applications of industrial relevance, demonstrating innovative thinking.
  5. Research skills: Critically evaluate and investigate the latest advancements and challenges in optical technologies, conducting independent research.

ECTS credits: 5

Prerequisites: Prior knowledge of electromagnetism and optics.

Program requirement: Active participation is mandatory.

Exam and assessment: Oral exam based on an individual design study incorporating one or more research papers in lightwave technologies. Grading follows the seven-point scale and includes an external co-examiner.

Course coordinator: Nick Volet

Where and when?

Lectures:
– Mondays 12:15–14:00
📍 Building 5125 (Edison), Room 120 or online via Teams

Exercises and lab demos:
– Thursdays 10:15–12:00
📍 Building 5128, Room 218

📢 Start survey – We value your input

To help us tailor the course to your background and interests, we invite you to complete a short start survey. Your feedback will help shape examples, exercises, and emphasis during the course.

The survey is anonymous and takes about 5 minutes to complete.

👉 Survey link

Thank you for taking the time to share your input.
Nick, Asger, Jeppe, Jesper, Lucas & Trishala


Part 1: Foundations of light as an electromagnetic wave

1. Electric and magnetic fields

Jan. 26 + Jan. 29 (week 5)
Recap on complex numbers and differential operators

Feb. 2 + Feb. 5 (week 6)
Maxwell's equations and complex fields
Fourier decomposition, separation of variables, and trial solution
Pulses, small-signal modulation, and continuous-wave (cw) operation
Wavenumber, attenuation coefficient, and effective refractive index
Expressions for the electric field

  • Slides-C: PDFPPT
  • Exercises: PDF – SOL

2. Wave propagation and field orientation

Feb. 9 + Feb. 12 (week 7)
Constitutive relations and reduction to the Helmholtz equation
Wave types: plane waves, Gaussian beams, guided modes
Field orientation and orthogonality assumptions
Anisotropic materials and polarization-dependent propagation
Nonlinear material response: second- and third-order effects
Poynting vector, intensity, and optical power

During the exercise session on Thursday, we will use the software EMode.
👉 Information on how to get started can be found here.
Please go through the information provided at this link and install the license.

  • Booklet: PDF
  • Slides: PDFPPT
  • Theory exercises: PDFSOL
     
  • Simulation exercises (Feb 12): PDFSOL ; extra slides: PDF
    Please download EMode for Python or MatLab beforehand. Solutions will be given in Python.

3. Interface between materials

Feb. 16 + Feb. 19 (week 8)
Boundary conditions at material interfaces, and Snell's law
Total internal reflection and evanescent field
Transverse polarizations: TE and TM waves
Reflection and transmission coefficients
Fresnel’s equations and Brewster’s angle
Phase shifts upon reflection
Multilayer interference: antireflection (AR) coatings, bandpass filters, distributed Bragg reflectors (DBRs)
Limits of geometric optics: Goos–Hänchen effect


4. Gaussian waves

Feb. 23 + Feb. 26 (week 9)
Dispersion relation and paraxial wave equation. Material refractive index.
Gaussian beam solution: beam waist, Rayleigh range, divergence.
Gouy phase shift and wavefront curvature.
Effective beam area, M-squared parameter.


5. Generation of light

March 2 + March 5 (week 10)
Incandescence and blackbody radiation.
Planck's spectrum, Wien's law.
Quantum mechanics foundations.
Spontaneous and stimulated emission.
Optical amplification and lasers.

👉 Friday, week 10: Deadline to submit group abstracts


Internship and Project Day: March 6 (Friday, week 10)
Starting at 7:45 in Building 5122, Room 122.
See this LinkedIn post.


6A. LED and laser characteristics

March 9 + March 12 (week 11)
Power/voltage vs current, optical spectrum.
Multi-mode vs single-mode.

👉 Monday, week 11: Feedback on submitted abstracts: PDF

  • Booklet: TBC
  • Slides: PDFPPT
  • Exercises: PDF

Introduction to Integrated Nonlinear Photonics
March 10 (week 11)


6B. Wavelength conversion

March 16 + March 19 (week 12)
Second-harmonic generation.
Optical frequency combs.

  • Booklet: TBC
  • Slides: PDFPPT
  • Exercises: PDF / EMode script - PY

7. Optical spectrum

March 23 + March 26 (week 13)
Introduction to Laser Stability:
Ensemble average. Wiener-Khintchine theorem.
Phase noise, frequency noise and intrinsic linewidth.
Lorentzian spectrum of an ideal laser.
Flicker noise and dither tones.
Spectrum of a real laser.

👉 Thursday, week 13: Group presentations and feedback


Introduction to Photodetection (March 26, week 13)


ECE Research Day: March 25 (Wednesday, week 13)
Pitches starting at 12:30 in Peter Bøgh Andersen Auditory in Building 5335.
Poster session starting at 13:30 in Building 5122, Room 122.


(8). Polarization of light

Polarization ellipse. State of polarization.
Stokes parameters.
Polarizers and waveplates.
Müller matrices.

  • Booklet: PDF
  • Slides: PDFPPT
  • Exercises: Lab session

Week 14 (March 30 – April 3): No teaching at AU (Easter week)

April 6 (Monday, week 15): No teaching (Easter Monday)


National Optics Congress at AU: April 8 + 9 (week 15)
Students are encouraged to attend. All expenses related to participation, including transport and accommodation, are covered.

Part 2: Guided waves and photonic devices

9. Modes in optical fibers (part 1)

April 13 + April 16 (week 16)
Dispersion relation.
Characteristic equation and effective index.
Single-mode condition.

👉 April 17 (Friday, week 16): Deadline to submit individual abstracts


(10). Modes in optical fibers (part 2)

Intensity distribution.
Hybrid modes.
Electric mode profiles.


11. Multiplexing

April 20 + April 23 (week 17)
Wavelength Division Multiplexing (WDM)
Dense and Coarse WDM (DWDM, CWDM)
Arrayed waveguide gratings (AWGs)
Splitters, combiners, and polarization controllers
Amplification and transmission windows (infrared C-band, EDFAs)

👉 Monday, week 17: Feedback on submitted abstracts

  • Booklet: TBC
  • Slides: PDFPPT
  • Exercises: PDF

12. Directional couplers and interferometers

April 27 + April 30 (week 18)
Directional couplers and supermodes. Phase-matching condition.

Multi-mode interference (MMI) couplers.
Mach-Zehnder interferometers (MZIs).
Optical hybrids and coherent receivers.


13. Ring resonators

May 4 + May 7 (week 19)
Transmission spectrum. Critical coupling.
Quality factor. Effective phase shift.
Applications: filters, mirrors, isolators, optical frequency combs, and all-optical switches.


14. Last session

May 11 (week 20)
Course recap, exam prep, student project rehearsal, and future opportunities in photonics.
👉 Course evaluation

👉 May 11 (Monday, week 20): Individual presentations (rehearsal)

Simulation exercises

We use EMode Photonix to simulate and analyze waveguide modes.

👉 Click here for instructions and resources to get started with EMode Photonix.

Exam: June 3, 2026

Assessment is based on an oral exam centered on an individual design study incorporating one or more research papers in lightwave technologies.

Key dates:
April 17 (Friday, week 16): Deadline to submit your abstract
May 11 (Monday, week 20): Individual presentations (rehearsal)

Students wishing to be examined this semester must submit their abstract to Nick Volet by email before the above deadline.

Exam format:
– Oral exam, total duration 20 min
– 10-min presentation followed by 10 min of questions

Further information is available via the study portal.


Storage

Slides and other files are available at this SharePoint site.

LaTeX files (for booklets and exercises) are available at this Overleaf project.