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.
- State the time-dependent Maxwell's equations in vacuum and in media and understand their significance in providing the framework of classical electromagnetism
- Present written, logical and clear solutions to problems in electrostatics, magnetostatics, induced electromagnetic fields and basic wave optics
- Solve steady state problems in electromagnetsim by utilising symmetries, vector calculus and its integral theorems
- Solve simple problems for induced electromagnetic fields using both differential and integral forms of Maxwell's equations
- 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:
Dr Harald Schwefel
Lecture Topics
ElectrostaticsLecturer: Associate Professor Niels Kjærgaard |
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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 |
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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 |
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Paper code | PHSI232 |
Subject | Physics |
EFTS | 0.1500 |
Points | 18 points |
Teaching period | Second Semester |
Domestic Tuition Fees (NZD) | $1,080.30 |
International Tuition Fees (NZD) | $4,858.95 |
- 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
- More information link
- View more information about PHSI 232
- 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 - Graduate Attributes Emphasised
- Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship,
Communication, Critical thinking, Information literacy, Self-motivation.
View more information about Otago's graduate attributes. - Learning Outcomes
- After completing this paper students will be able to:
- State the time-dependent Maxwell's equations in vacuum and in media and understand their significance in providing the framework of classical electromagnetism
- Present written, logical and clear solutions to problems in electrostatics, magnetostatics, induced electromagnetic fields and basic wave optics
- Solve steady state problems in electromagnetism by utilising symmetries, vector calculus and its integral theorems
- Solve simple problems for induced electromagnetic fields using both differential and integral forms of Maxwell's equations
- Understand foundational concepts of optics in terms of Maxwell's equations and be able to solve simple problems of wave propagation, diffraction and interference