Lehrveranstaltungshandbuch Theory of Imaging

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Verantwortlich: Prof. Dr. Stefan Altmeyer

Lehrveranstaltung

Befriedigt Modul (MID)

• aktuelle
  • Ba ET2012 ABT
  • Ba ET2010 ABT
• auslaufende
  • Diplom ET DPO3 Abbildungstheorie

Organisation

Version erstellt 2011-11-30 VID 1 gültig ab WS 2012/13 gültig bis

Bezeichnung Lang Theory of Imaging LVID F07_ABT LVPID (Prüfungsnummer)

Semesterplan (SWS) Vorlesung 2 Übung (ganzer Kurs) Übung (geteilter Kurs) Praktikum 2 Projekt Seminar Tutorium (freiwillig)

Präsenzzeiten Vorlesung 30 Übung (ganzer Kurs) Übung (geteilter Kurs) Praktikum 30 Projekt Seminar Tutorium (freiwillig)

max. Teilnehmerzahl Übung (ganzer Kurs) Übung (geteilter Kurs) Praktikum 15 Projekt Seminar

Gesamtaufwand: 150

Unterrichtssprache

• Deutsch

Niveau

• Bachelor

Notwendige Voraussetzungen

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

Literatur

• 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)

Dozenten

• Prof. Dr. Stefan Altmeyer

Wissenschaftliche Mitarbeiter

• none

Zeugnistext

Theory of Imaging

Kompetenznachweis

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

Aufwand [h]
oE	15

Intervall: 2-3/year

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Lehrveranstaltungselemente

Vorlesung

Lernziele

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

Fertigkeiten

• 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

Begleitmaterial

• electronic lecture notes
• printed lecture notes

Besondere Voraussetzungen

• none

Besondere Literatur

• none

Besonderer Kompetenznachweis

• none

Praktikum

Lernziele

Fertigkeiten

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

Handlungskompetenz demonstrieren

• 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

Begleitmaterial

• electronic and printed instructions for every experiment
• manuals for complex devices

Besondere Voraussetzungen

• none

Besondere Literatur

• none

Besonderer Kompetenznachweis

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

Beitrag zum LV-Ergebnis

Intervall: 1/year