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Astro 1050     Mon. Feb. 9, 2004
  •    Today:  Review exam 1
  • Continue Chapter 5
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Chapter 5: Astronomical Tools
  • Properties of light are fundamental


  • Almost everything we know about the universe outside our solar system comes from interpreting the light from distant objects.
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Radiation: Two different kinds
  • Something that “radiates”, or spreads out in “rays”


  • High speed particles (eg. high speed neutrons ejected from a disintegrating atomic nucleus)


  • Electromagnetic radiation:
    • Towards shorter “wavelength” and higher energy:
      • Visible light, Ultraviolet light, X-Rays, Gamma-Rays
    • Towards longer “wavelength” and lower energy:
      • Visible light, Infrared radiation, microwaves, radio waves
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Properties of Light
  • Light has both wave and particle properties
    • Travels like a wave
    • Interacts with matter like a particle:  “photon”


      • Full explanation involves quantum mechanics
      • For most cases we can just choose the right “model” from the above two choices
      • Photons, unlike particles in other kinds of “radiation,” are particles of “pure energy”
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Light is an electromagnetic wave
  • Changing electric fields generates magnetic fields
  • Changing magnetic fields generates electric fields
  • Can set up a cycle where one field causes the other:
    • The E and B fields oscillate in strength, and the disturbance moves forward.








  • To describe the wave you need to specify
    • Direction it is moving
    • Strength of the fields (its intensity)
    • Frequency or Wavelength of the oscillation (u and l are inversely related)
    • Orientation of the electric E field:  up or sideways (polarization)
  • You do not need to specify its speed
    • In a vacuum all lightwaves move at the same speed c = 3´108 m/s
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The Electromagnetic Spectrum
  • Radio waves
  • Microwaves
  • Infrared
  • Visible
  • Ultra-violet
  • X-Rays
  • Gamma rays
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Relationship between Energy and Wavelength of Light
  • Short wavelength Þ  High energy photons
  • Long  wavelength Þ Low energy  photons


  • Intensity µ total energy (per area per second)

                  
    µ          (# of photons per area per second)
                          
    ´  (energy per photon)


  • Example with falling rain:
    • Amount of rain µ (# of raindrops) ´ (volume per drop)


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Why is energy per photon so important?
  • Modified example:  Hailstorm (with your car outside in it)
    • Threshold for damage to car set by size of individual hailstones
      • Below threshold hailstones cause no dents
      • Above threshold they cause bigger dents
    • Number of dents = number of hailstones bigger than threshold
    • Very unlikely two small hailstones can hit exactly together to cause dent


  • Real life example:  Ultra-Violet light hitting your skin
    • Threshold for chemical damage set by energy (wavelength) of photons
      • Below threshold (long wavelengths) energy too weak to cause chemical changes
      • Above threshold (short wavelength) energy  photons can break apart DNA molecules
    • Number of molecules damaged = number of photons above threshold
    • Very unlikely two photons can hit exactly together to cause damage
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Numerical Relationship between
 wavelength and photon energy
  • Inverse relationship:  Smaller l means more energetic
    • c = speed of light = 3.00 ´ 108 m/s
    • h = Planck’s constant = 6.63 ´ 10-34 joules x s
      • Note:  Joule is a unit of energy        1 Joule/second = 1 Watt
  • Energy of a single photon of 0.5 mm visible light?



    • Seems very small, but this is roughly the energy it takes to chemically modify a single molecule.
  • Photons from a 100 W lightbulb  (assuming all 100W goes into light?)





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Optical Telescopes and Cameras
  • Properly curved lenses and mirrors can form “Images”
    • All the light leaving one point on object gets “reassembled” at one point on the image.
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Refracting vs. Reflecting Telescopes
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Why do astronomers need large telescopes?
  • Large telescopes can collect more light
    • Can detect fainter objects
    • Have more light for specialized analysis.


  • Large telescopes can form more detailed images
    • Waves spread out as they go through an opening.
      • The larger the opening, the less they spreads out.
      • The longer the wavelength the more they spread out
      • Angle of spread q µ l/D  where D is Diameter of telescope
      • Radio telescopes have to be much bigger than visible ones
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Kinds of measurements made with telescopes
  • Measure brightness of objects (photometry)
  • Record images using electronic “CCD” detectors
  • Split it into different wavelengths with “spectrometers”
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Dark Side of the Moon
  • “There is no dark side really.  It’s all dark.” -- Pink Floyd
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Dark Side of the Moon
  • What is wrong with this picture?
  • Front: Not all primary colors (eg, pink, magenta), also refraction angles inconsistent
  • Back: Spectrum is Convergent – I think done for art’s sake
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Observing over the entire electromagnetic spectrum
  • Different phenomena produce different wavelength waves
    • Ordinary stars:  Visible light
    • Cool planets or dust clouds:  Infrared light
    • Moving charged particles, cool molecules:  Radio waves
    • Very hot objects:  X-Rays and Gamma Rays
    • Quasars: ALL wavelengths


  • Only visible, some IR, and radio make it through atmosphere
    • Need to observe from space for other wavelengths



  • Going into space also lets you obtain more detailed images
    • On Earth telescope size isn’t only limit on image resolution
    • Temperature fluctuations in atmosphere cause “seeing” (blurring)
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Bad “seeing”/Good “seeing”
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Active/Adaptive Optics
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Hubble Space Telescope (HST)
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Chandra X-ray Observatory
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Radio Telescopes
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Infrared Telescopes
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Infrared Telescopes
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The Electromagnetic Spectrum
  • Radio waves
  • Microwaves
  • Infrared
  • Visible
  • Ultra-violet
  • X-Rays
  • Gamma rays
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