Course content

Photonic crystals one, two, and three dimensions

Metamaterials in one, two, and three dimensions

1D: Periodic multilayer films, planar diffraction gratings .

2D: Patterned thin films, optical fibers with holes

3D: Structues with an optical band gap

Bloch-waves in one, two, and three dimensions. Brillouin zones, band diagrams. Numerical methods for Bloch-waves. Evanescent waves, series expansions of electromagnetic fields in Bloch-waves. Photonc crystal defects.

Learning outcome

A fundamental understanding of electromagnetic waves in periodic structures.  An understanding of the application of photonic crystals in optcal micro and nano structures, and in photonics in general.


Students admitted at UiO must apply for courses in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

Nordic citizens and applicants residing in the Nordic countries may apply to take this course as a single course student.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.


Formal prerequisite knowledge


Recommended previous knowledge

Kurset er tenkt for masterstudenter, og bygger på bachelorgrad i elektronikk og datateknikk, eller i fysikk, astronomi og meteorologi, eller i materialer, energi og nanoteknologi. Særlige relevante emner er FYS1120 - Elektromagnetisme, FYS2130 - Svingninger og bølger, og MENA3000 - Funksjonelle materialer.

Overlapping courses


Emnet går over ett semester med 3 timer undervisning per uke. I tillegg inngår regneoppgaver med bruk av matematisk programvare.


Avsluttende muntlig eksamen. Bokstavkarakterer. Ved stort antall kandidater kan det bli holdt skriftlig eksamen.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course






Every autumn


Every autumn

Teaching language

Norwegian (English on request)