Rayleigh-Criterion: The Resolution of Optical Instruments

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Video in TIB AV-Portal: Rayleigh-Criterion: The Resolution of Optical Instruments

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Rayleigh-Criterion: The Resolution of Optical Instruments
Alternative Title
Rayleigh-Kriterium: Das Auflösungsvermögen optischer Instrumente
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C 13097
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Universität Kaiserslautern, Fachbereich Physik, AG Jodl (Kaiserslautern)
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Video ; F, 4 min 3 sec

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Das maximale Auflösungsvermögen eines optischen Instruments wird mit Hilfe des Rayleigh-Kriteriums beschrieben. Wir betrachten zur Untersuchung dieses Kriteriums zwei punktförmige Lichtquellen durch ein Teleskop. Wird die Auflösungsgrenze durch Verkleinern der Apertur unterschritten, erwarten wir ein "Verschmieren" der Lichtpunkte. Dies wird zunächst qualitativ untersucht und anschließend mit dem Rayleigh-Kriterium quantitativ verglichen.
The maximum resolution of an optical instrument is described by the Rayleigh criterion. We observe two spots of light through a telescope to investigate this criterion. When the resolution-limit is reached by decreasing the size of the aperture, we expect the light spots to blur. This is first examined qualitatively and then compared quantitatively with the Rayleigh criterion.
Keywords Apertur Auflösungsgrenze Teleskop Lichtquelle Auflösungsvermögen Rayleigh-Kriterium Rayleigh criterion resolution point-sources (light) light sources telescope resolution-limit aperture
Measuring instrument Optics
Light Aperture Measuring instrument Limiter
Cosmic distance ladder Wärmezähler Plating Light
Light Camera lens Intensity (physics) Arc lamp Locher
Aperture Cosmic distance ladder Wärmezähler Diaphragm (optics)
Sizing Ground station
Aperture Electric power distribution Cut (gems) Intensity (physics) Amplitude Light
Diffraction Profil <Bauelement> Intensity (physics) Diaphragm (optics) Amplitude Locher Angeregter Zustand Strapping
Light Diffraction Angle of attack Cosmic distance ladder Diaphragm (optics) Limiter Measurement Angeregter Zustand
that the Rayleigh criterion the resolution of optical instruments the Rayleigh criterion defines the maximum
resolution of an optical instrument to examine this criterion we observe the true point light
sources through a telescope if by decreasing the aperture on the resolution limit is reached we expect the points of light to blur the
experimental setup in detail the realize that point light sources we use a thin plate In this plate we drill 2 holds with a diameter of 200
micro meters at a distance of 550 micrometres these
holes are illuminated with a strong halogen lamp whose light is focused by a lens to increase the
intensity we observe this set up
from a distance of 8 meters through a telescope the who's aperture can be reduced by an iris here is a
schematic overview of the set up
during the experimental procedure 1 can
see the view through the telescope in the upper half the size of the
adjustable aperture and the
intensity distribution of the light sources along a central cut now the Epicureans gradually closed the originally clearly separable peaks get wider finally they merged together since the like efficiency gets less the sensitivity of the camera is increased continuously for a
quantitative evaluation we examine the state at the beginning of the procedure
1st both peaks can be separated easily the intensity profile of the single peaks can be described by a diffraction of bundle behind a circular hole by overlaying both diffraction patterns 1 gets the result matching the observation if the iris is closed further the light points start to blur and separating them gets harder the most interesting
point is reached when the diffraction minimum of the 1st light source coincides
with the maximum of the 2nd this is the resolution limit defined by Rayleigh the examining the state in the experimental set up 1 sees that the opening of the iris is reduced from originally 5 centimeters 2 now 1 centimeter the the well-known formula to calculate the distance of 2 points that can just be separated approximated for small angles is shown here the coefficient 1 . 2 0 2 is the location of the 1st 0 calculated analytically to verify our experiment we compare our result with this value the we compute a coefficient of 1 . 2 7 that matches the theoretical expectations within the accuracy of measurement