PDF Course Catalog Deutsche Version: ABT

Version: 4 | Last Change: 19.09.2019 15:07 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben

Long name | Theory of imaging |
---|---|

Approving CModule | ABT_BaET, ABT_BaOPT |

Responsible |
Prof. Dr. Stefan Altmeyer
Professor Fakultät IME |

Level | Bachelor |

Semester in the year | winter semester |

Duration | Semester |

Hours in self-study | 78 |

ECTS | 5 |

Professors |
Prof. Dr. Stefan Altmeyer
Professor Fakultät IME |

Requirements | series expansion differential calculus multidimensional integral calculus basics of Fourier Transform geometrical optics basics of wave optics |

Language | German |

Separate final exam | Yes |

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)

Hecht: Optik (Oldenbourg)

Perez: Optik (Spektrum Akademischer Verlag)

Goodman: Introduction to Fourier Optics (Roberts and Co. Publishers)

Kurz, Lauterborn: Coherent Optics (Springer)

Lowest competence level checked is knowledge. This could be e.g. the names of the five Seidel aberrations, the reason of their occurance, the structure of their point spread functions and strategy of tackling them.

The next competence level is related to skills. Examination could be done by showing a sketch of an optical setup and it has to be devided into functional groups and in each functional group the critical apsects regarding imaging quality have to be identified. Another skill to be tested could be the the calculation of the incoherent optical transfer function from a given coherent optical transfer function.

The highest competence level adressed is methodical expertise. It can be checked by the task to do configure an optical imaging system or an analytical measurement setup for an optical imaging system. Alternatively a given system which does not meet the desired specifications has to be optimzied: in a guided discussion it can be found out easily, if the underlying principles are understood and can be applied proactively, if intellectual transfer is made and if there is sufficient overview.

Lowest competence level checked is knowledge. This could be e.g. the names of the five Seidel aberrations, the reason of their occurance, the structure of their point spread functions and strategy of tackling them.

The next competence level is related to skills. Examination could be done by showing a sketch of an optical setup and it has to be devided into functional groups and in each functional group the critical apsects regarding imaging quality have to be identified. Another skill to be tested could be the the calculation of the incoherent optical transfer function from a given coherent optical transfer function.

The highest competence level adressed is methodical expertise. It can be checked by the task to do configure an optical imaging system or an analytical measurement setup for an optical imaging system. Alternatively a given system which does not meet the desired specifications has to be optimzied: in a guided discussion it can be found out easily, if the underlying principles are understood and can be applied proactively, if intellectual transfer is made and if there is sufficient overview.

mathematics

twodimensional Fourier transform

linearity theorem

similarity theorem

shift theorem

convolution theorem

autocorrelation theorem

Fourier transform of some special functions

Hilber space

inner product

norm

expansion in basis vectors

completness

Delta functionals

definition in multidimensional space, shifted

sifting property

mathematically equivalent representations

coherence

representation as correlation function

temporal coherence and Wiener-Chintschin theorem

spatial coherence and Van-Cittert-Zernike theorem

two dimensional linear system theory applied to optical systems

Point Spread Function (PSF) of electrical fields and of intensities

Optical Transfer Function (OTF) for electrical fields and intensities

Modulation Transfer Function (MTF) as amplitude of the OTF

Phase Transfer Function (PTF) as phase of the OTF

relation of OTF and PSF

relation to pupil function

relation to wave front aberration function

mathematical relation of coherent and incoherent optical transfer function

coherent and incoherent resolution limit

relation of coherence and incoherence to fields and intensities

Aberrations

Seidel aberrations

point spread functions

phase representations in the pupil plane

causes of the aberrations

strategies of prevention and compensation of the aberrations

Zernike polynomials

Methods for measuring phases

Shack-Hartmann sensor

shearing plate

twodimensional Fourier transform

linearity theorem

similarity theorem

shift theorem

convolution theorem

autocorrelation theorem

Fourier transform of some special functions

Hilber space

inner product

norm

expansion in basis vectors

completness

Delta functionals

definition in multidimensional space, shifted

sifting property

mathematically equivalent representations

coherence

representation as correlation function

temporal coherence and Wiener-Chintschin theorem

spatial coherence and Van-Cittert-Zernike theorem

two dimensional linear system theory applied to optical systems

Point Spread Function (PSF) of electrical fields and of intensities

Optical Transfer Function (OTF) for electrical fields and intensities

Modulation Transfer Function (MTF) as amplitude of the OTF

Phase Transfer Function (PTF) as phase of the OTF

relation of OTF and PSF

relation to pupil function

relation to wave front aberration function

mathematical relation of coherent and incoherent optical transfer function

coherent and incoherent resolution limit

relation of coherence and incoherence to fields and intensities

Aberrations

Seidel aberrations

point spread functions

phase representations in the pupil plane

causes of the aberrations

strategies of prevention and compensation of the aberrations

Zernike polynomials

Methods for measuring phases

Shack-Hartmann sensor

shearing plate

calculate Fourier transforms with extensive use of the Fourier theorems safely

analyse optical systems

identify coherent and incoherent optical systems

make use and apply coherent and incoherent optical system theory safely

recognize and name aberrations

design optical setups for the measurement of optical phases determination of aberrations

analyse optical systems

identify coherent and incoherent optical systems

make use and apply coherent and incoherent optical system theory safely

recognize and name aberrations

design optical setups for the measurement of optical phases determination of aberrations

Type | Attendance (h/Wk.) |
---|---|

Lecture | 2 |

Tutorial (voluntary) | 0 |

keine/none

none

lecture notes as downloadable file

none

plan and build optical setups

adjust optical setups

use commercial software packages

to analyse measured data

to graph data

measure impulse response function and transfer function

calculate impuls response function from a given transfer function

calculate transfer function from a given impulse response function

build a light source with adjustable degree of coherence

measure and interpret the transfer function of an objective in dependence of the degree of coherence

measure and interpret the modulation transfer function of an objective in dependence of the aperture

write scientific reports

describe the task

explain the idea of the solution

illustrate the experimental setup

explain the data processing

make error analysis

present the results and make a critical discussion

adjust optical setups

use commercial software packages

to analyse measured data

to graph data

measure impulse response function and transfer function

calculate impuls response function from a given transfer function

calculate transfer function from a given impulse response function

build a light source with adjustable degree of coherence

measure and interpret the transfer function of an objective in dependence of the degree of coherence

measure and interpret the modulation transfer function of an objective in dependence of the aperture

write scientific reports

describe the task

explain the idea of the solution

illustrate the experimental setup

explain the data processing

make error analysis

present the results and make a critical discussion

Type | Attendance (h/Wk.) |
---|---|

Practical training | 2 |

Tutorial (voluntary) | 0 |

keine/none

none

Instrcutions for the experiments as downloadable files.

Operating manuals for complex equipment as downloadable files.

Operating manuals for complex equipment as downloadable files.

2) The underlying ideas of the experiment have to be explained at the beginning of the laboratory.

3) Make the experiment alone (preferred) or in a team of two.

- Build up and adjust your own setup

- Acquire / measure date with this setup

4) Write a documentation on the experiment. It will be checked wih regard to

- completness

- scientific and precise language

- correctness

- understanding of the interrellations and interpretation of the results

The basic ideas of the experiment must have been understood.

All experiments must have been performed.

The reports must be free of systematical errors.

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