Course Theory of Imaging

Responsible: Prof. Dr. Stefan Altmeyer


Meets requirements of following modules(MID)

Course Organization

created 2011-11-30
valid from WS 2012/13
valid to
Course identifiers
Long name Theory of Imaging
CEID (exam identifier)

Contact hours per week (SWS)
Lecture 2
Exercise (unsplit)
Exercise (split)
Lab 2
Total contact hours
Lecture 30
Exercise (unsplit)
Exercise (split)
Lab 30
Tutorial (voluntary)
Max. capacity
Exercise (unsplit)
Exercise (split)
Lab 15

Total effort (hours): 150

Instruction language

  • Deutsch

Study Level

  • Bachelor


  • 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)


  • Prof. Dr. Stefan Altmeyer

Supporting Scientific Staff

  • none

Transcipt Entry

Theory of Imaging


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

Total effort [hours]
oE 15

Frequency: 2-3/year

Course components



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



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

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

Topic-Revision: r1 - 11 Jan 2016, GeneratedContent
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