LARGER MIRRORS RESOLVE BETTER
theta = 0.25 (lambda/D)
Here theta, the angle between the closest objects that
can be seen
separately is in arcsec, lambda is in
micrometers (um) and D is in meters.
Example: a 3.5m telescope working in yellow light (500 nm = 0.5 um)
has a
resolution angle, theta = 0.25x(0.5/3.5) = 0.036 arcsec
Resolution is limited by SEEING --- the spreading of an
image
via turbulence in the atmosphere, which typically changes over
< 0.1 s,
and smears images out to > 0.5 arcsec.
This implies little real improvement in resolution if D > 0.25 m.
This is also why STARS TWINKLE and PLANETS DON'T (usually).
This limit on resolution can be gotten around by:
Going into Space: Hubble Space Telescope
( theta = 0.08 arcsec );
Next Generation (Webb) Space Telescope ( theta = 0.02 arcsec )
Speckle interferometry: take very short exposures -- this
works
only with very bright stars (theta = 0.002 arcsec ).
(Also see regular interferometry, below.)
Adaptive optics: measure blurring of a bright star
and very quickly
coarsely adjust mirror shape to reduce it; then
nearby images will also
be crisper (theta = 0.1 arcsec can be achieved).
Active optics: use a bright natural star OR a laser guide star to measure seeing and rapidly correct details of the mirror shape (theta < 0.1 arcsec can be achieved).
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Typical research telescopes have several instruments which
are attached to the secondary focus (Cassegrain and/or Coude).
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INTENSITY (BRIGHTNESS)
Phototube: linear response (current proportional to light intensity),
but only one or two objects at once.
Photographic plates: non-linear, but compare many at once.
Charged Coupled Device: CCD -- linear AND get many at once.
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IMAGES
Photographic plates -- use multiple filters and combine for color images.
CCD -- resolution now about as good and linearity far better;
data is DIGITAL and can be processed more easily to get more
precise results.
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SPECTROMETERS
Most telescopes spend most of their time spreading the light
out into all
frequencies: SPECTROSCOPY gives FAR MORE DETAILED
INFORMATION
than does IMAGING.
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POLARIMETERS
Special materials can rotate different linear polarizations
by
different amounts and allow weak polarizations to be detected.
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INTERFEROMETRY OVERCOMES POOR RESOLUTION
Single dish radio telescopes can't resolve better than
approx 20 arcsec --- or North Georgia as seen from the Moon.
Combining and interfering signals can produce much
better resolution;
the EFFECTIVE APERTURE becomes the
MAXIMUM SEPARATION
(BASELINE) between the telescopes.
Examples:
OPTICAL INTERFEROMETRY: The same techniques can now
be used in
the optical band, where it is much more difficult
to combine and interfere the signals.
THE CHARA ARRAY is the largest optical interferometer:
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X-RAY and gamma-RAY TELESCOPES
MUST BE PLACED IN SPACE -- essentially all these high
energy photons
are blocked by the Earth's atmosphere.
X-RAY TELESCOPES
For X-rays, only small angle reflection is possible, so
complex designs are
needed if decent angular resolution is
possible. Stacked pieces of paraboloidal
and hyperboloidal
mirrors around a cylinder work well.
Much more difficult to perform X-ray spectroscopy than in the
visible,
but it is now possible.
Important X-ray telescopes include
These X-ray telescopes have told us a lot about
the SUN, SUPERNOVAE,
ACTIVE GALACTIC NUCLEI, RADIO JETS, and
the INTERSTELLAR AND INTERGALACTIC MEDIUM
but not much
about the PLANETS. So more is postponed until Astr 1020.
GAMMA-RAY TELESCOPES
For gamma-rays, no focusing is possible -- they are too powerful.
Collimators
restrict entry into solid-state detectors, yielding positions
only accurate to several arc minutes.
Important gamma-ray telescopes include:
CGRO (Compton Gamma Ray Observatory, now deceased), Beppo-SAX,
HETE, Swift.