EI3310 Metasurfaces: Theory and Practice, PhD course 10.0 credits

Meta-ytor: Teori och praktik, doktorandkurs

The course is intended for PhD students whose research topic is within or related to electromagnetic field theory, microwave propagation, antennas, metamaterials and optics.

During the course, the students will be able to acquire knowledge about an emerging research topic: metasurfaces. The course will include an introduction to metasurfaces, a review of analytical and computational techniques to understand the operation of metasurfaces, and an overview of the present and future applications of metasurfaces with special emphasis on microwave circuits, lenses, and antennas.

The course will include talks from international experts. The students will have a number of lectures, and they will learn how to develop their own analytic and numerical codes to study metasurfaces. Additionally, they will learn how to apply metasurfaces to real applications, and they will design proofs of concept via commercial simulation software.

  • Education cycle

    Third cycle
  • Main field of study

  • Grading scale

    P, F

Course offerings

Autumn 18 for programme students

  • Periods

    Autumn 18 P2 (5.0 credits)

    Spring 19 P3 (5.0 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus

    KTH Campus

  • Tutoring time


  • Form of study


  • Number of places

    No limitation

Information for research students about course offerings

on demand

Intended learning outcomes

After the course, the students should be able to:

  • Describe a metasurface; explain the types of metasurfaces; and identify their limitations and properties.
  • Develop analytic models to characterize canonical metasurfaces and periodic structures.
  • Describe the operation of specific metasurfaces via in-house computational codes they develop.
  • Choose the appropriate type of metasurface for a particular application.
  • Analyze the operation of metasurfaces with commercial software.
  • Design basic metasurface structures with commercial software.
  • Develop an advanced microwave circuit or antenna that makes use of metasurfaces. 

Course main content

Metasurfaces, classic electromagnetic field theory, physical optics, microwave devices, advanced antennas, metamaterials.


Theory lessons: 75h.

The course will be composed of 5 intensive weeks of lectures and home assigments:

  • Each week will be dedicated to a specific topic in which a Professor, or someone who is in other ways expert in the field, will lead the educational process.
  • Each week will have 15hours of lectures. 3 hours/day.
  • After the lectures, each day, the students will be have to work on home assigments and deliver their results to the teacher in charge.

After the lectured part of the course, the student develops an individual project that is equivalent to 2 weeks of full work.


The course requires advance knowledge of electromagnetism, and it is desirable to have knowledge about radiofrequency technologies. Students who hold an MSc degree in Telecommunication Engineering, Electrical or Electronic Engineering or Physics should have the basis to meet the requirements of this course.

Furthermore, basic knowledge of antennas and/or microwave devices is an asset. If the student has already passed a Masters and/or PhD course on electromagnetic fields, antennas, microwaves, and optics, he/she should be in the ideal condition to follow the lectures.



  • “The Plane Wave Spectrum Representation of Electromagnetic Fields”, P.C. Clemmow, IEEE Press.
  • “Electromagnetic Wave Propagation, Radiation, and Scattering”, Akira Ishimaru. Prentice Hall, 1991.
  • “Geometry and Light: The Science of Invisibility”, Ulf Leonhardt, Thomas Philbin, Dover, 1st Edition.

Article and notes will be provided during the lessons.

Required equipment

The students will use the computers of the laboratory offered by the Electromagnetic Department. These computers will offer access to simulation software CST Microwave Studio, and Matlab.

  • CST Microwave Studio is commercial software which enables the simulation of metasurfaces, antennas and electromagnetic devices.
  • Matlab will be employed for the development of short scripts to simulate the operation of metasurfaces.


  • EXA1 - Examination, 10.0, grading scale: P, F

Students must attend the 5 weeks of lectures. Exercises and homework that are handed out during the lectures are mandatory to do and hand in.

Each week will have a different educational leader.

Students must attend and participate in the most of the lectures (90% of attendance is mandatory). They must complete all the exercises given to them on the lectures, deliver the required reports and respect deadlines.

Requirements for final grade

During the active 5 weeks of the course, there will be home-assignments, including exercises and development of simulation codes. The students must report and deliver all the assignments on time.

Hand in a written report and make an oral presentation of a proposed final project.

The teachers will evaluate the assignments and the final project. All the assignments (including the final project) must be passed, in order to pass the course. The final grade of the course will be Passed/No Passed.

Offered by

EECS/Electromagnetic Engineering


Oscar Quevedo-Teruel


Oscar Quevedo Teruel <oscarqt@kth.se>


Course syllabus valid from: Autumn 2015.
Examination information valid from: Spring 2019.