# PHSI232 Electromagnetism and Optics

## Paper Description

This paper develops the classical theory of electromagnetism in terms of Maxwell's equations, both in vacuum and in media. A major emphasis is placed on the use of vector calculus and its related integral theorems to solve for electric and magnetic fields. The formal similarity of electrostatic and magnetostatic problems is shown, and principles of symmetry and superposition are used to facilitate solution. Electromagnetic induction and the energy of electromagnetic fields are introduced. Fundamental concepts in optics are developed in terms of electromagnetism, including light propagation, interference, reflection, refraction, transmission at interfaces, and applications in diffraction.

After completing this paper students will be able to:
1. State the time-dependent Maxwell's equations in vacuum and in media and understand their significance in providing the framework of classical electromagnetism
2. Present written, logical and clear solutions to problems in electrostatics, magnetostatics, induced electromagnetic fields and basic wave optics
3. Solve steady state problems in electromagnetsim by utilising symmetries, vector calculus and its integral theorems
4. Solve simple problems for induced electromagnetic fields using both differential and integral forms of Maxwell's equations
5. Understand foundational concepts of optics in terms of Maxwell's equations and be able to solve simple problems of wave propagation, diffraction and interference

The course consists of 36 lectures, and 12 two-hour workshops, which focus on problem solving. There are 12 assignments.

Assessment:
Final exam 60%, Assignments 30%, Workshops 10%.

Important information about assessment for PHSI232

Course Coordinator:
Associate Professor Niels Kjærgaard

### Lecture Topics

ElectrostaticsLecturer: Associate Professor Niels Kjærgaard
Coulomb’s law; electric fields; superposition principle
Vector calculus: gradient, potentials, divergence theorem, Stokes theorem; polar coordinate systems
Gauss’ law; electrostatic energy
Conductors; capacitors; dielectrics; dipoles; electric displacement
Textbook: Griffiths, D.J. Introduction to Electrodynamics, Fourth edition, Addison-Wesley.
MagnetostaticsLecturer: Associate Professor Niels Kjærgaard
Lorentz Force law and Biot-Savart law
Magnetic vector potential
Magnetization; field in media
Electromotive force and induction
Maxwell's equations
Textbooks: Griffiths, D.J. Introduction to Electrodynamics, Fourth edition, Addison-Wesley.
OpticsLecturer: Dr Harald Schwefel
Electrodynamic Wave Equation in free space and in matter
Interference and Polarisation
Reflection, refraction and transmission at interfaces
Fourier Transformation and Fourier Optics
Diffraction

Textbook:Griffiths, D.J. Introduction to Electrodynamics, Fourth edition, Addison-Wesley;

Peatross, J. and Ware, M., Physics of Light and Optics, 2015 edition, available free at optics.byu.edu

# Formal University Information

The following information is from the University’s corporate web site.

## Details

Classical electromagnetic theory is developed in terms of Maxwell’s equations, and applied to the description of dielectric and magnetic materials. The wave theory of optics, originating from electromagnetism, is explored with examples including interference, diffraction and coherence.

This paper develops the classical theory of electromagnetism in terms of Maxwell's equations, both in vacuum and in media. A major emphasis is placed on the use of vector calculus and its related integral theorems to solve for electric and magnetic fields. The formal similarity of electrostatic and magnetostatic problems is shown, and principles of symmetry and superposition are used to facilitate solution. Electromagnetic induction and the energy of electromagnetic fields are introduced. Fundamental concepts in optics are developed in terms of electromagnetism, including light propagation, interference, reflection, refraction, transmission at interfaces, and applications in diffraction.

Paper title Electromagnetism and Optics PHSI232 Physics 0.1500 18 points Second Semester \$1,059.15 \$4,627.65
Prerequisite
PHSI 132 and (MATH 160 or MATH 170)
Restriction
PHSI 262
Recommended Preparation
MATH 170
Schedule C
Science
Notes
It is strongly recommended that students taking PHSI231 or PHSI232 have passed MATH170 or are enrolled in MATH170 and have a B grade or better in MATH160.
Contact
niels.kjaergaard@otago.ac.nz
Teaching staff
Course Co-ordinator:Associate Professor Niels Kjaergaard
Dr Harald Schwefel
Textbooks
Griffiths, D.J. Introduction to Electrodynamics, Fourth edition, Addison-Wesley

Peatross, J. and Ware, M., Physics of Light and Optics, 2015 edition, available free at optics.byu.edu
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation.
Learning Outcomes
After completing this paper students will be able to:
1. State the time-dependent Maxwell's equations in vacuum and in media and understand their significance in providing the framework of classical electromagnetism
2. Present written, logical and clear solutions to problems in electrostatics, magnetostatics, induced electromagnetic fields and basic wave optics
3. Solve steady state problems in electromagnetism by utilising symmetries, vector calculus and its integral theorems
4. Solve simple problems for induced electromagnetic fields using both differential and integral forms of Maxwell's equations
5. Understand foundational concepts of optics in terms of Maxwell's equations and be able to solve simple problems of wave propagation, diffraction and interference

## Timetable

### Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Monday 10:00-10:50 28-34, 36-41
Tuesday 10:00-10:50 28-34, 36-41
Wednesday 10:00-10:50 28-34, 36-41

#### Tutorial

Stream Days Times Weeks
Attend one stream from
T1 Tuesday 11:00-11:50 28-34, 36-41
T2 Friday 16:00-16:50 28-34, 36-41

#### Workshop

Stream Days Times Weeks
Attend one stream from
A1 Wednesday 14:00-15:50 28-34, 36-41
A2 Thursday 14:00-15:50 28-34, 36-41

Classical electromagnetic theory is developed in terms of Maxwell’s equations, and applied to the description of dielectric and magnetic materials. The wave theory of optics, originating from electromagnetism, is explored with examples including interference, diffraction and coherence.

This paper develops the classical theory of electromagnetism in terms of Maxwell's equations, both in vacuum and in media. A major emphasis is placed on the use of vector calculus and its related integral theorems to solve for electric and magnetic fields. The formal similarity of electrostatic and magnetostatic problems is shown, and principles of symmetry and superposition are used to facilitate solution. Electromagnetic induction and the energy of electromagnetic fields are introduced. Fundamental concepts in optics are developed in terms of electromagnetism, including light propagation, interference, reflection, refraction, transmission at interfaces, and applications in diffraction.

Paper title Electromagnetism and Optics PHSI232 Physics 0.1500 18 points Second Semester Tuition Fees for 2020 have not yet been set Tuition Fees for international students are elsewhere on this website.
Prerequisite
PHSI 132 and (MATH 160 or MATH 170)
Restriction
PHSI 262
Recommended Preparation
MATH 170
Schedule C
Science
Notes
It is strongly recommended that students taking PHSI 231 or PHSI 232 have passed MATH 170 or are enrolled in MATH 170 and have a B grade or better in MATH 160.
Contact
niels.kjaergaard@otago.ac.nz
Teaching staff
Course Co-ordinator:Associate Professor Niels Kjaergaard
Dr Harald Schwefel
Textbooks
Griffiths, D.J. Introduction to Electrodynamics, Fourth edition, Addison-Wesley

Peatross, J. and Ware, M., Physics of Light and Optics, 2015 edition, available free at optics.byu.edu
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation.
Learning Outcomes
After completing this paper students will be able to:
1. State the time-dependent Maxwell's equations in vacuum and in media and understand their significance in providing the framework of classical electromagnetism
2. Present written, logical and clear solutions to problems in electrostatics, magnetostatics, induced electromagnetic fields and basic wave optics
3. Solve steady state problems in electromagnetism by utilising symmetries, vector calculus and its integral theorems
4. Solve simple problems for induced electromagnetic fields using both differential and integral forms of Maxwell's equations
5. Understand foundational concepts of optics in terms of Maxwell's equations and be able to solve simple problems of wave propagation, diffraction and interference

## Timetable

### Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Monday 10:00-10:50 28-34, 36-41
Tuesday 10:00-10:50 28-34, 36-41
Wednesday 10:00-10:50 28-34, 36-41

#### Tutorial

Stream Days Times Weeks
Attend one stream from
T1 Tuesday 11:00-11:50 28-34, 36-41
T2 Friday 16:00-16:50 28-34, 36-41

#### Workshop

Stream Days Times Weeks
Attend one stream from
A1 Wednesday 14:00-15:50 28-34, 36-41
A2 Thursday 14:00-15:50 28-34, 36-41