FT504: Electromagnetism and Optics
Study Board of Science
Teaching language: Danish or English depending on the teacher
EKA: N500039112, N500039122, N500039102
Censorship: Second examiner: None, Second examiner: External
Grading: Pass/Fail, 7point grading scale
Offered in: Odense
Offered in: Spring
Level: Bachelor
STADS ID (UVA): N500039101
ECTS value: 10
Date of Approval: 05112019
Duration: 1 semester
Version: Approved  active
Entry requirements
Academic preconditions
Students taking the course are expected to:
 Have knowledge of FT501: Mathematics (10 ECTS) or MM536: Calculus (10 ECTS), FT500: Mechanics and Thermodynamics (10 ECTS) and FT502: Electronics (5 ECTS).
Course introduction
The aim of the course is to give the students basic knowledge of electromagnetism and optics.
The course gives the academic background for studying the phenomena dominating electrodynamics and optics, at a basic level and in courses placed later in the education.
In relation to the competence profile of the degree it is the explicit focus of the course to:
 Give skills in theoretical and experimental examination of physical phenomena
 Give knowledge about fundamental theories and their formulation as well as experimental methods of physics
Expected learning outcome
The learning objective of the course is that the student is able to:
Knowledge
 define electric and magnetic fields, and central concepts such as charge and current density as well as flux density and electric potential,
 apply fundamental equations describing the interactions between electric charges, and magnetic forces on electric charges and electric currents in the presence of a magnetic field,
 account for Coulomb’s and Gauss’ law and explain the application of the laws to determination of electric and magnetic fields,
 account for Ampére’s law and BiotSavart’s law and explain their application to determine magnetic fields,,
 account for Faraday’s law and explain its application to determine induced electric fields in the presence of varying magnetic fields,
 account for the interaction of a material with electric and magnetic fields through polarization, conduction and magnetization determined through material properties such as permittivity, resistance and permeability,
 account for the boundary conditions of electric and magnetic fields,
 define and describe the concepts of resistance and capacitance as well as selfinductance and mutual inductance,
 explain the structure of magnetic circuits and their analogue to electric circuits as well as account for different models of circuits based on the linear and nonlinear permeability of the materials
 explain the structure and function of a onephase transformer,
 interpret Maxwell’s equations as the underlying emergence of electromagnetic waves,
 describe interference phenomena among harmonic waves in one and two spatial dimensions,
 mathematically describe basic diffraction phenomena.
Skills
 apply Coulomb’s law and Gauss’ law for electric fields to perform computations of electric forces, fields and potentials of different charge distributions,
 apply Gauss’ law for magnetic fields as well as BiotSavart’s law and Ampére's law to evaluate the magnetic fields originating from electric currents,
 apply Faraday’s law to calculate induced electromotive forces and induced electric fields in the presence of varying magnetic fields,
 use knowledge about the behavior of the electric field in and around conductors and dielectrics, and the corresponding boundary conditions, to calculate the capacitance in simple configurations of electric conductors and dielectrics,
 use knowledge of the behavior of the magnetic field in and around conductors, and the corresponding boundary conditions, to calculate selfinductance and mutual inductance in simple configurations of conductors and magnetic materials,
 set up models for magnetic circuits, including the case of the onephase transformer,
 explain how an optical microscope works and sketch the imaging and the illumination paths,
 explain the fundamental limitations diffraction phenomena place on resolution of optical/spectral instruments.
 perform and conduct experiments on electromagnetism and optics
Competences
 analyse different phenomena of electric and magnetic fields and their effect on charged particles,
 analyse experimental setups that are shown in the course book,
 use calculations, methods and techniques of electromagnetism in applications in connection with the generation or detection of electric and magnetic fields,
 evaluate the influence of different dielectric and magnetic materials on electric and magnetic field distributions,
 dimension and analyze magnetic circuits, including onephase transformers,
 apply geometric optics, analyze beam paths in optical systems with up to two components,
 plan and conduct experiments on electromagnetism and optics,
 report and analyse laboratory experiments in a formally correct and complete way (including discussion).
Content
The course contains the following main topics:
 Electric charge and electric fields. Coulomb’s law and Gauss’ law for electric fields,
 Electric potential energy and the electric potential,
 Electric material properties. Permitivity, conductance and displacement field.
 Capacitance,
 Magnetic fields and the magnetic field of a current. Ampére’s law and BioSavart’s law.
 The Lorentz force on an electrical conductor.
 Faraday’s law of induction,
 Inductance
 Magnetic properties of materials, magnetization, permeability, magnetic field strength (Hfield) and hysteresis curves
 Transformers and magnetic circuits
 Maxwell equations in integral and differential form
 Electromagnetic waves
 Light waves (Huygens’ principle; refraction and reflection)
 Mirrors and lenses (optical instruments, eye, telescope, microscope)
 Interference phenomena
 Diffraction (diffraction and resolution limit)
 Laboratory classes within electromagnetism and optics
Literature
Examination regulations
Prerequisites for participating in the exam a)
Timing
Spring
Tests
Participation in the experimental labexercises
EKA
N500039112
Censorship
Second examiner: None
Grading
Pass/Fail
Identification
Student Identification Card
Language
Normally, the same as teaching language
Examination aids
To be announced during the course
ECTS value
0
Additional information
Participation in the experimental lab. exercises and approval of lab. reports.
The prerequisite examination is a prerequisite for participation in exam element a).
Prerequisites for participating in the exam b)
Timing
Spring
Tests
Approval of assignments
EKA
N500039122
Censorship
Second examiner: None
Grading
Pass/Fail
Identification
Student Identification Card
Language
Normally, the same as teaching language
Examination aids
To be announced during the course
ECTS value
0
Additional information
Approval of 3 out of 4 compulsory assignments.
The prerequisite examination is a prerequisite for participation in exam element a).
Exam element a)
Timing
Spring
Prerequisites
Type  Prerequisite name  Prerequisite course 

Examination part  Prerequisites for participating in the exam a)  N500039101, FT504: Electromagnetism and Optics 
Examination part  Prerequisites for participating in the exam b)  N500039101, FT504: Electromagnetism and Optics 
Tests
Written exam
EKA
N500039102
Censorship
Second examiner: External
Grading
7point grading scale
Identification
Full name and SDU username
Language
Normally, the same as teaching language
Duration
5 hours
Examination aids
A closer description of the exam rules will be posted in itslearning.
ECTS value
10
Additional information
The examination form for reexamination may be different from the exam form at the regular exam.
Indicative number of lessons
Teaching Method
At the faculty of science, teaching is organized after the threephase model ie. intro, training and study phase.
 Intro phase: 48 hours
 Skills training phase: 48 hours, hereof tutorials: 30 hours and laboratory exercises: 18 hours
The intro phase consists of lectures where the central topics of the course are introduced. The material is then trained with problem solving in the tutorials and exercises in lab.
Activities during the study phase:
 Study of textbook
 Solving of exercises
 Preparation for laboratory exercises and subsequent writing of reports
Teacher responsible
Name  Department  

Mads Toudal Frandsen  frandsen@cp3.sdu.dk  Institut for Fysik, Kemi og Farmaci, CP3Origins, SDU Galaxy 
N. Asger Mortensen  namo@mci.sdu.dk  Mads Clausen Instituttet, SDU NanoOptics, Danish Institute for Advanced Study 
Additional teachers
Name  Department  City  

Carsten Svaneborg  zqex@sdu.dk  Institut for Fysik, Kemi og Farmaci  
Christos Tserkezis  ct@mci.sdu.dk  Mads Clausen Instituttet, SDU NanoOptics  
Francesca Serra  serra@sdu.dk  Fysik  
Mads Toudal Frandsen  frandsen@cp3.sdu.dk  Institut for Fysik, Kemi og Farmaci, CP3Origins, SDU Galaxy 
Timetable
21 
Monday
23052022

Tuesday
24052022

Wednesday
25052022

Thursday
26052022

Friday
27052022


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