SK3340 Fourier Optics 6.0 credits
Education cycleThird cycle
Main field of study
Information for research students about course offerings
The course is offeredatthe sametime as theSK2340.
Intended learning outcomes
The overall aim of the course is that you should be able to analyze optical problems with the help of the approximations made in Fourier optics and develop simple numerical simulations for your systems.
This means that you should be able to:
- Describe the mathematical characteristics of the two dimensional Fourier transform and explain their relevance for the analysis of linear optical systems
- Explain the basics of scalar diffraction theory
- Analyze different solution methods for the Helmholtz equation
- Apply the Fresnel and Fraunhofer approximation to calculate the diffraction patterns of standard optical components
- Reflect on the physical implications of diffraction and their influence on the resolution in optical imaging systems
- Develop and implement algorithms for numerical wavefield propagation
Course main content
- Analysis of two-dimensional signals and systems
- Foundations of scalar diffraction theory
- Fresnel and Fraunhofer diffraction
- Frequency analysis of optical imaging systems
- Numerical methods for wave-field propagation
5 meetings, 5 computer labs
Language of instruction: English
Admitted to PhD studies in Physics, Biological Physics, or related fields of study.
Knowledge of the physics of electromagnetic radiation corresponding to SK2110 (Waves, 6 hp) and in basic mathematics (vector analysis, integrals, differential equations) is very important. Moreover, knowledge in optics corresponding to SK2300 (Optical physics, 6 hp) is of advantage, but not mandatory. Basic knowledge of programming in MATLAB is highly recommended, but may be acquired during the course.
Joseph W. Goodman, Introduction to Fourier Optics, Third edition (2005), Roberts and Company publishers.
One of the best books in optical physics, suitable both for self-study and reference.
REDA – project presentation, 6,0 hp, grading: P/F
Requirements for final grade
To pass the course you have to work on a project (simulation of an optical system based on Fourier optics) and present the results at a seminar.
Ulrich Vogt, firstname.lastname@example.org
Ulrich Vogt <email@example.com>
Course syllabus valid from: Spring 2016.