Course Theory of Imaging

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Responsible: Prof. Dr. Stefan Altmeyer

Course

Meets requirements of following modules(MID)

• in active programs
  • Ba ET2012 ABT
  • Ba ET2010 ABT

Course Organization

Version created 2011-11-30 VID 1 valid from WS 2012/13 valid to

Course identifiers Long name Theory of Imaging CID F07_ABT CEID (exam identifier)

Contact hours per week (SWS) Lecture 2 Exercise (unsplit) Exercise (split) Lab 2 Project Seminar Tutorial(voluntary)

Total contact hours Lecture 30 Exercise (unsplit) Exercise (split) Lab 30 Project Seminar Tutorial (voluntary)

Max. capacity Exercise (unsplit) Exercise (split) Lab 15 Project Seminar

Total effort (hours): 150

Instruction language

• Deutsch

Study Level

• Bachelor

Prerequisites

• series expansion
• differential calculus
• integral calculus
• Fourier transfom
• geometrical optics
• wave optics

Textbooks, Recommended Reading

• Pedrotti, Pedrotti, Bausch, Schmidt: Optik für Ingenieure. Grundlagen (Springer)
• Hecht: Optik (Oldenbourg)
• Perez: Optik (Spektrum Akademischer Verlag)
• Goodman: Introduction to Fourier Optics (Roberts and Co. Publishers)
• Kurz, Lauterborn: Coherent Optics (Springer)

Instructors

• Prof. Dr. Stefan Altmeyer

Supporting Scientific Staff

• none

Transcipt Entry

Theory of Imaging

Assessment

Type
oE	normal case (except on large numbers on assessments: wE)

Total effort [hours]
oE	15

Frequency: 2-3/year

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Course components

Lecture

Objectives

Lerninhalte (Kenntnisse)

• mathematics
  • 2D Fourier transform
    • linearity theorem
    • similarity theorem
    • shift theorem
    • convolution theorem
    • autocorrelation theorem
    • Fourier transforms of special functions
  • Hilbert space
    • sckalar product
    • norm
    • basis vector representations
    • completeness
  • delta functionals
    • definition in higher dimesnions, shifted
    • sifting properties
    • mathematically equivalent representations
• coherence
  • representation as correlation function
  • temporal coherence and Wiener-Chintschin theorem
  • spatial coherence and Van-Cittert-Zernike theorem
• Theory of 2 dimensional linear systemsapplied to optical systems
  • point spread function in amplitude and intensity
  • optical transfer function in amplitude and intensity
    • modulation transfer function
    • phase transfer function
    • relation to point spread function
    • relation to pupil function
    • relation to wavefront aberration function
    • mathematical relation of coherent and incoherent optical transfer function
    • coherent and incoherent frequency cutoff
• aberrations
  • Seidel aberration
    • point spread functions
    • phase representation in the exit pupil plane
    • reason for the different aberrations
    • strategies for aberration minimaziation
  • Zernike polynomials
• measuring phases
  • Shack-Hartmann sensor
  • Shearing plate

Acquired Skills

• assured calculation of Fourier transforms with use of the Foutrier theorems
• analysis of optical systems
• identification of coherent and incoherent optical systens
• assured application of coherent and incoherent linear system theory
• identification and naming of aberrations
• design of optical setups for the measurement of phase and aberrations

Additional Component Assessment

• none

Lab

Objectives

Acquired Skills

• adjustment of optical setups
• using commerical software packages
  • exploitation of aquired data
  • graphical preparation of data

Operational Competences

• self-reliant planning and realization of optical setups
• measurement of point spread functions and optical transfer functions
• calculation of the point spread function from a given transfer function
• calculation of the transfer function from a given point spread function
• realization of a light source with adjustable degree of coherence
• measurement and interpretation of the transfer function of an objective in depedence on varying coherence
• measurement and interpretation of the modulation transfer funtion of an objective in dependence on a varying aperture stop
• writing of a scientific report
  • precise description of the task
  • representation of the approach
  • description of the setup
  • explanation of data expoitation
  • presentation if the result and critical discussion

Additional Component Assessment

Type
fIN	interview on specific topics
fTP	supervised team project, groups as small as possible
fLP	written presentation of outcomes

Contribution to course grade

Frequency: 1/year