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
5 meetings, 5 computer labs
Language of instruction: English
Literature and preparations
Specific prerequisites *
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.
No information inserted
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.
Examination and completion
Grading scale *
Grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
PRO1 – project presentation, 6,0 hp, grading: P/F
Other 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.
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination