
If there ever is a popular contest for "The Best-loved
Scientific Instrument", the astronomical telescope will
likely be one of the top contenders. Most people have seen
or even used a telescope before. However, not too many have
noticed that it is also a time machine. Here we will briefly
discuss the basic principles of the astronomical telescope,
and we will draw some examples of how astronomers use this
time machine to study the history of universe.

Whatever the design of a telescope(1),
it must have a main objective that collects signals from a
large area and concentrates them into a point, called the
focus. The objective could be a lens or a mirror, or it can
even be made of some other materials. The larger the area
of the objective, the more signals it collects. It is usually
not difficult to make the objective large; what's difficult
is to accurately focus the signals. The common optical telescope
makes use of either refraction by a lens or reflection by
a mirror to channel incoming light to the focus (Fig. 1, 2).
The human eyes are therefore small telescopes, and astronomical
telescopes are nothing but artificial eyes. When you look
through a telescope, you effectively enlarge your iris to
the size of the objective and soak up all the light gathered.
The diameter of human iris is typically 7mm. Therefore, we
can easily calculate the amplification of light intensity
through a telescope - we simply take the square of the ratio
between the diameter of the objective and 7mm. We can uncover
much information about distant stars after their feeble light
is intensified.
(Fig.1 The objective concentrates incoming light to a point
called the focus.)

(Fig. 2 One of my favourite telescopes
- a refractor with six inch aperture.)
People often ask, "How far can one see with this telescope?"
or "How many times will this telescope magnify images?"
Well, both questions are wrong. The main function of an astronomical
telescope is to gather light. In principle, no matter how
far an object is, some fractions of its light would enter
the telescope as long as it is in the direction of the objective
and not obstructed by some other objects. Whether the gathered
light is intense enough for us to see depends not only on
the size of the telescope, but also on the brightness of the
object and atmospheric conditions. If the object we want to
see is too dim, we cannot see it even if it is very close.
For example, we can compare Pluto with M31, the spiral galaxy(2)
in the constellation Andromeda (Fig. 3). Pluto is a member
of our solar system, and its distance from Earth is about
six billion km. Pluto does not emit visible light itself,
and the feeble light we receive from it is the reflected sunlight
from its surface. Even if we use the largest telescope on
Earth, we cannot observe Pluto with much clarity; we could
not even see it with naked eyes. On the other hand, in clear
autumn nights, M31 is readily visible to human eyes without
the help of a telescope, even though it is 2.2 million light
years away(3),
much farther from us than Pluto. The reason for the disparity
is that M31 being a system of hundreds of billions of stars,
is intrinsically very much brighter than Pluto. It is the
most distant object that human beings can see with naked eyes!
Take another example. Probably nobody can see a candle from
10km away, but we can all see the sun clearly (Fig. 4), even
though it is 150 million km from us! Similarly, the effective
magnification of an image depends more on the intrinsic brightness
of the object and the atmospheric conditions than on the telescope
itself. In fact, many astronomical objects subtend large angular
sizes, and so there is no need for much magnification at all.
For example, M31 is three times the angular size of Moon;
it is a large object in the sky. We won't be able to see the
entire galaxy if we magnify its image.

(Fig. 3: Pluto (left) and the Andromeda
Galaxy M31 (right). Pluto is much closer to us than M31, and
yet it cannot be seen with naked eyes on Earth. The Pluto
photo was downloaded from HST/NASA website http://hubblesite.org/newscenter/,
and the M31 photo was taken by Delphi Kwok using a 90mm telescope.
Pluto photo courtesy NASA/STSCI. )

(Fig. 4 The closest star to Earth: Sun. The average distance
between Earth and Sun is 150 million km. I used a small telescope
with an aperture of only 7cm, together with a special filter
to take these photos.
Never observe the sun directly
without proper solar filters!)
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(Fig.
5A Gravitational Lens: Nature's telescope. Scientists
took this photo of a distant galaxy (blue patches) whose
image was distorted and duplicated into several copies
by the galaxy cluster 0024+1654 (yellow patches). This
photo was downloaded from Hubble Telescope website http://hubblesite.org/newscenter/
Photo courtesy: NASA STSCI)
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(Fig.
5B Gravitational Lens: Galaxy Cluster Abell 1689 (yellow
patches) forms a gravitational lens. This photo was
downloaded from Hubble Telescope website http://hubblesite.org/newscenter/
Photo courtesy: NASA STSCI)
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Since the main function of the objective is to collect and
focus incoming light, any materials that can bend light can
be used to make it. Amazingly, giant telescopes exist in the
universe naturally, and they are not even made of any material
substance. The trick is to make use of gravitational force
to bend light(4).
One famous example is shown in Fig. 5A, in which the yellow
patches form the galaxy cluster 0024+1654 (just a name). A
galaxy cluster is a collection of galaxies, each of which
typically contains about 100 billion stars, and the gravitational
field in the vicinity of a galaxy cluster is obviously very
strong. This particular cluster is about 5 billion light years
away from us, and its gravitational force distorts the light
from an even farther away galaxy to form a gravitational lens(5).
The bluish-white galaxy shown in Fig. 5A is actually about
10 billion light years away, and we would not be able to see
it without the help of this Nature's "telescope"
to intensify its image. We can even observe the structure
of this far away galaxy, resolving down to regions of about
300 light years in size! However, the "optical quality"
of this "telescope" is far from being ideal. It
distorts and makes five copies of the image. Another similar
example is shown in Fig. 5B.

(Fig. 6: Orion Nebula M42. I took this
photo in CUHK. University of Hong Kong.)

It is easy to spot Orion Nebula M42 (Fig. 6) in a clear winter
night. This nebula, a cloud made of interstellar gas and dust,
is approximately five thousand light years from us. In human
scales, a distance of five thousand light years is perhaps
too far for us to imagine, but it really is very close for
astronomical objects. The light emitted from this nebula travelled
for five thousand years before reaching our telescopes. This
means that the image in Fig. 6 is that of the nebula five
thousand years ago! What does this nebula look like today?
Nobody on Earth would know; we will have to wait till five
thousand years later to find out about that. Similarly, when
we use large telescopes to watch distant galaxies, we are
observing their images long time ago. For example, the small
spots of red light indicated by the white arrows in Fig. 7
are believed to be among the first-generation galaxies in
the universe. They are over ten billion light years(6)
away from us, and it took over ten billion years for their
light to reach us!
Here we should introduce the concept of the light cone. If
one needs to send some signals from one point to another point
separated in space, the fastest way is to use a light beam.
Nothing travels faster than light, as far as we know, but
even light has a finite speed, of about three hundred thousand
kilometres. Therefore, the transmission of signals will take
some time. In other words, there will always be some time
delay in the communication between any two points in the universe;
the farther they are apart, the longer it takes. Without communication,
objects at these two points cannot affect each other. This
is true no matter how far or how close the two points are
apart. No matter how powerful our telescopes are, we can "see"
only a small corner of the vast universe (Fig. 8). If you
look around and see your classmates, what you see are not
their images at this moment. If you see your classmate sitting
next to you smiling at you, that happened a fraction of a
billionth of a second ago. It is impossible for you to know
what your classmates are doing at this very moment; you can
only find out what happened in the past. All you can see are
history!
(Fig. 7 Images of distant galaxies taken
with Hubble Space Telescope. The reddish spots of light indicated
by the arrows are emitted from galaxies that are estimated
to be over twenty billion light years away. This photo is
downloaded from Hubble Space Telescope website http://hubblesite.org/newscenter/
.
Photo courtesy: NASA STSCI)
(Fig. 8 The light cone: from each point
in space one can draw a boundary for the space-time region
where light (of speed c) emitted from the point can reach.
Points outside of this light cone, coloured in blue, cannot
communicate with the point at the origin.)
Knowing that the farther one looks, the further back in time
one sees, astronomers study the evolution of galaxies by comparing
their structure and shapes at various distance. This is like
taking snapshots of galaxies at different ages and watching
how they age. In Fig. 9(7),
one sees images of some galaxies when the universe was about
two, five, nine, and fourteen billion years old, the last
one being the current age. Young galaxies tend to be small
and irregular in shapes, and it seems that they grow bigger
and into more definite elliptical (upper panels) or spiral
(lower panels) shapes. There are probably many collisions
and mergers among neighbouring galaxies during this process
, such as the one shown in Fig. 10(8).

(Fig. 9 Images of galaxies at various distance, showing how
their structure and shapes evolve. From right to left are
images of galaxies at two, five, nine, and fourteen billion
years old. http://hubblesite.org/newscenter/
Photo courtesy: NASA STSCI.)

(Fig. 10 Spiral galaxy NGC3314 was formed by a pair of merging
galaxies. This photo was downloaded from NASA Hubble Space
telescope website http://hubblesite.org/newscenter/.
Photo courtesy: NASA STSCI.)
So what is the farthest and oldest object
that we can "see" today?
Well, the answer is the hot primordial fireball(9)
of the early universe . Amazingly, everyone has a telescope
at home to catch the signals from this object, and it is your
television! As the universe expanded, the light waves emitted
about fourteen billion years ago by the primordial fireball
were stretched longer and longer to become microwaves today,
forming the cosmic microwave background radiation, which fills
the entire universe almost completely uniformly. The antennae
of our television picked up these microwave signals, which
show up as a small fraction of the noise, or "snowflakes",
on the television screen (Fig. 11). Astrophysicists built
specialized microwave telescopes to measure these cosmic radiations
and deduced information about the physical conditions of the
early universe from these signals. You probably have not realized
that your TV antenna is actually an ultimate telescope and
time machine!
Astronomers are building larger and better telescopes, so
that they can observe farther objects and learn more about
the early universe. These will help in answering one of the
ultimate questions that human beings ask: what was it like
in the beginning, and how did the universe evolve? These research
involve hard work of many generations of scientists. Perhaps
you will also become one of them?

(Fig. 11: "Snowflakes" on a TV screen. A fraction
of these noises comes from cosmic microwave background radiation,
which was emitted from the primordial fireball in the early
universe.)
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