Rayleigh-Criterion: The Resolution of Optical Instruments
Formal Metadata
| Title |
Rayleigh-Criterion: The Resolution of Optical Instruments
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| Alternative Title |
Rayleigh-Kriterium: Das Auflösungsvermögen optischer Instrumente
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| Author |
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| License |
CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
| Identifiers |
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| IWF Signature |
C 13097
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| Publisher |
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| Release Date |
2007
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| Language |
English
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| Producer |
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| Production Year |
2004
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Technical Metadata
| IWF Technical Data |
Video ; F, 4 min 3 sec
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Content Metadata
| Subject Area | |
| Abstract |
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.
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| Keywords | Apertur Auflösungsgrenze Teleskop Lichtquelle Auflösungsvermögen Rayleigh-Kriterium Rayleigh criterion resolution point-sources (light) light sources telescope resolution-limit aperture |
00:00
Measuring instrument
Optics
00:09
Light
Aperture
Measuring instrument
Limiter
00:27
Cosmic distance ladder
Wärmezähler
Plating
Light
00:44
Light
Camera lens
Intensity (physics)
Arc lamp
Locher
00:56
Aperture
Cosmic distance ladder
Wärmezähler
Diaphragm (optics)
01:18
Sizing
Ground station
01:29
Aperture
Electric power distribution
Cut (gems)
Intensity (physics)
Amplitude
Light
02:00
Diffraction
Profil <Bauelement>
Intensity (physics)
Diaphragm (optics)
Amplitude
Locher
Angeregter Zustand
Strapping
02:46
Light
Diffraction
Angle of attack
Cosmic distance ladder
Diaphragm (optics)
Limiter
Measurement
Angeregter Zustand
00:00
that the Rayleigh criterion the resolution of optical instruments the Rayleigh criterion defines the maximum
00:12
resolution of an optical instrument to examine this criterion we observe the true point light
00:18
sources through a telescope if by decreasing the aperture on the resolution limit is reached we expect the points of light to blur the
00:28
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
00:39
micro meters at a distance of 550 micrometres these
00:45
holes are illuminated with a strong halogen lamp whose light is focused by a lens to increase the
00:53
intensity we observe this set up
00:57
from a distance of 8 meters through a telescope the who's aperture can be reduced by an iris here is a
01:09
schematic overview of the set up
01:21
during the experimental procedure 1 can
01:24
see the view through the telescope in the upper half the size of the
01:31
adjustable aperture and the
01:34
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
02:03
quantitative evaluation we examine the state at the beginning of the procedure
02:07
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
02:48
point is reached when the diffraction minimum of the 1st light source coincides
02:53
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
