[PDF] Understanding Resolution - Cloudy Nights



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Lecture 5 - UIUC

‘Diffraction limit’ of resolution 0 I I0 α=αc/3 Sum 2I0 0 y Two images not resolvable α D α Two point sources Rayleigh’s Criterion defines the images to be resolved if the central maximum of one image falls on or further than the first minimum of the second image c D λ α= 1 22 NOTE: No interference Why not? Angular Resolution



Understanding Resolution - Cloudy Nights

The Rayleigh limit of a 6fl/150mm telescope is 5 45/6fl or 138/150 = 0 91 arcseconds Rayleigh Limit is a measure that correlates to the wave nature of light The correlation will be shown later Kitchin: The angular resolution is equal to the Rayleigh limit, where separation between two stars is



Matthew Schwartz Lecture 19: Diffraction and resolution

Diffraction and resolution 1 Huygens’ principle Diffraction refers to what happens to a wave when it hits an obstacle The key to understanding diffraction is a very simple observation first due to Huygens in 1678 Say a wave arrives at an opaque screen with a little hole in it On the other side of the screen, the wave equation must



Optical Microscopy: Lecture 2 Magnification and Resolution in

Resolution: Rayleigh criterion If you view two point sources that are very close together, you may not be able to distinguish them An empirical diffraction limit is given by the Rayleigh criterion invented by Lord Rayleigh: The images of two different points are regarded as just resolved when the



Diffraction grating

For resolution of two object by a circular lens of diameter D the diffraction limit of resolution occurs when the image of the second object is at position of the first minimum of the diffraction pattern of the first object min 1 22 D λ θ= θ min D GeoEye 1 Imaging Satellite 1 1 m diameter mirror Resolution 0 41 m Altitude of 684 km



Angular Resolution

Diffraction and Angular Resolution Airy Pattern Merging Resolution Limit Single Rayleigh’s Criterion Two “point” (unresolved) sources are resolved from each other when separated by at least the radius of the airy disk Θ = 1 22 λ D rad Careful λ and D are naturally measured in different units Also note: 360 deg = 2 π rad



ResolvingPower ofDiffractionGratings

limit of resolution, or the difference in wavelength between two lines of equal intensity that can be distinguished,dλ The resolving power R, is dependent on the diffraction order n, and the total number of grooves that are illuminated on the surface of the grating by the light source N as shown in Eq 2[3] R = λ dλ =nN (2) 2 1 DERIVATION

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