PHYS 182 Lecture Notes - Lecture 8: Light Pollution, Electromagnetic Spectrum, Focal Length

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8 Jun 2018
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PHYS182: Our Evolving Universe
2017-09-28 LEC 8
3. Telescopes
3.1 The Eye
Inside the eye there is a lens, and a retina which perceives the image upside down
o Processing in the brain reverses the image
The image will be produced at a length that is different than the focal length
o Focal length is always measured from the center of the lens
If the lens diameter does not change when you bring the object closer, the image will not occur
directly on your retina
o You want to change the diameter of the lens with your eye muscles to correct the focal
length
o In a camera, you have some kind of detector where the retina is in your eye, such as a
“negative” or CCD (charge coupled device)
§ A “negative” is a film that is sensitive to light
§ CCD is an electronic solid-state version of a negative
In a camera (similar to in an eye), you can adjust the focal length to bring the image into focus
Diffraction through a slit
Light going through a slit is diffracted, emitting waves in all directions
o The smaller the hole, the larger the propagation of light
This would not happen if light were a particle
This wave-like property limits the resolution
o Advantage of big telescope: more light focused onto the light
receptors, less diffraction
Diffraction: a single point will be diffracted into a blob, if you want to
observe single points far away in the sky, you want less diffraction to get
a higher resolution
Angular size: angle between the two stars
360 degrees 1 degree = 60 arcmin 1 min = 60 arcseconds
angular size / 360o = physical size / 2πd
o physical size and distance must be measured in the same units
o Angular size measured in degrees
Example: angular separation = 206” * (physical separation / d)
Note:= arcseconds
We want the angular separation to be sufficiently large that S<a
Ømin = 2.5x105 (λ/D)
o I.e. bigger diameter = better resolution
Example: hubble space space telescope
D = (see photo)
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