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Outline
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Chapter 5
Light: The Cosmic Messenger
  • Chapter Outline
  • Basic Properties of Light and Matter
  • Learning from Light
  • Collecting Light with Telescopes
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Spectrum of Electromagnetic Waves
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What is light?
  • Since vision is a passive process, light must be something entering the eye that stimulates the brain to respond in what we call “vision”
  • Two models (mental representations) for light
    • Wave (continuous) model - light is a propagating wave that consists of varying electric and magnetic fields, a continuous phenomena called electromagnetic radiation
    • Photon (discrete) model - light is discrete packets of energy moving from the light source to the eye, a discrete phenomena called photons or quanta
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Speed of Light
  • Ole Roemer (1644-1710) first evidence light moves at finite velocity
  • c = 299,792 km/s (3 x 105 km/s, 3 x 108 m/s, 3 x 1010 cm/s)
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What phenomena demonstrate that light has discrete properties?
  • Energy carried by light is distributed discretely rather than continuously
  • Energy content of photons
    • Photon energy = (Plank’s constant) x (speed
    •                               of light) / (wavelength of
    •                               light)
    •                Ephoton = hc/l
  • Light is simultaneously a continuous wave and discrete photons
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Phenomena that Demonstration Light Is A Wave
  • Straight line propagation
  • Reflection, refraction, and diffraction
  • Superposition
  • Inverse square law of light
  • Doppler effect
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Waves
  • Wavelength – the distance between consecutive peaks or valleys in a wave form
  • Frequency – the number of complete wavelengths passing a fixed point per unit of time
  • Amplitude – the maximum or minimum excursion from undisturbed position in the wave form
  • Wave velocity - product of the wavelength and the frequency
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Superposition of Waves
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Inverse Square Law
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Electromagnetic Radiation
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Spectrum of Electromagnetic Waves
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Electromagnetic Spectrum
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Light’s Interaction with Matter
  • Power – rate of energy transport or usage
    • Unit for power is the watt:  1 W = 1 joule/second
  • Emission – stimulated matter can emit radiant energy, i.e., transformation from some other form
  • Absorption – matter completely diminishes radiant energy flowing through it, i.e., transformation to some other form
  • Transmission – matter partially diminishes radiant energy flowing through it
  • Reflection and scattering – matter changes direction of flow of radiant energy in either a predictable fashion or in a random fashion
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Kirchhoff’s Laws of Spectrum Analysis
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Absorption Spectrum of the Sun
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Spectrum of Hydrogen
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Laws of Thermal Radiation
  • Hotter objects emit more total radiation per unit surface area per unit of time (Stefan-Boltzman law)
  • Hotter objects emit photons with a higher average energy or shorter wavelength (Wien’s law)
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Of what value are the thermal radiation laws in astronomy?
  • Sun and stars are thermal sources of radiation
    • Emit because they are hot
  • Thermal radiation laws characterize the emitted radiation of a thermal source by temperature
    • Can determine temperature for the Sun and stars
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Do the spectra of different incandescent bodies look like that of a thermal source?
  • No, the state of the body does influence the appearance of the spectrum of emitted radiation
    • Thermal sources of radiation
    • Non-thermal sources of radiation
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Doppler Shift
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What is the purpose of a telescope?
  • A telescope
    • collects,
    • concentrates EM radiation, and
      • in a particular wavelength interval
    • forms an image, if possible, of the radiation source
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Refracting Telescope
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Yerkes Observatory Refractor
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Reflecting Telescope
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Reflecting Telescope Designs
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Reflecting Telescopes
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Telescope Mountings
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What properties of a telescopic image should one care about?
  • Size – how large is the image
  • Brightness – how much radiant energy per unit area, i.e., how bright (light collected) is the image
  • Angular resolution – how much angular separation exists in the image
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Size of an Image
  • Image size is directly proportional to the focal length, s  µ  l
    • Longer focal length means larger images
    • Shorter focal length means smaller images
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Brightness of an Image
  • Image brightness is directly proportional to the square of the ratio of diameter (d) of the main collector to focal length (l),       b  µ  ( d / l )2
    • A larger diameter means a brighter image
    • A shorter focal length means that the image is smaller, but brighter
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Angular Resolution in an Image
  • Angular resolution (s) is directly proportional to ratio of wavelength of light (l)to the diameter of collector (d),                       s  µ  ( l / d )
    • A larger diameter means small angles can be seen
    • A shorter wavelength of radiation means better angular resolution
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What categories of analyzing instruments are used with telescopes?
  • Image recording (cameras) - produce permanent image either photographically or electronically
  • Spectrographs - disperse composite radiation to produce spectrum either photographically or electronically
  • Photometers - collect radiation to make quantitative measure of amount of radiation in given wavelength interval, primarily electronic
  • Radiation detector - common component of all analyzing instruments to detect EM radiation
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Astronomical Spectrograph
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Astronomical Photometer
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What properties do radiation detectors possess?
  • Sensitivity for a particular wavelength range of photons
  • Sensitivity to range of numbers of incident photons
  • Nature of response to photons
    • Linear
    • Non-linear
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Properties of Radiation Detectors
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Why put telescopes in space?
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Atmospheric Effects – “Seeing”
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148 ft Radio Telescope, National Radio Astronomy Observatory
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The Very Large Array (VLA) Radio Interferometer
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Entire Sky at Different Wavelengths
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The Big Picture
  • By dispersing light into a spectrum, we discover a wealth of information about the object from which the light has come.  Most of what we know about the universe comes from information contained in radiation.
  • Visible light is only a small portion of the complete electromagnetic spectrum.  Different portions of the spectrum contain different bits of information about distant objects.
  • By studying the spectra of a distant object, we can determine its composition, surface temperature, motion, and more.
  • Telescopes collect, concentrate, and form images, if possible, of distant objects.  New telescope technologies, along with adaptive optics and interferometry are making ground-based telescopes ever more powerful.
  • Space-based telescopes and probes are an even more important platform for study of the universe.