# FSK3340 Fourier Optics 6.0 credits

### Offering and execution

#### No offering selected

Select the semester and course offering above to get information from the correct course syllabus and course offering.

## Course information

### Content and learning outcomes

#### Course contents *

• 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

#### 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 Disposition

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.

#### Recommended prerequisites

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.

#### Equipment

No information inserted

#### Literature

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

P, F

#### Examination *

• PRO1 - Project work, 6.0 credits, 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

No information inserted

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FSK3340

#### Offered by

SCI/Applied Physics

#### Main field of study *

No information inserted

#### Education cycle *

Third cycle

No information inserted

Sergei Popov

#### Ethical approach *

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.