Telescopes. Optical Telescope Design. Reflecting Telescope

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Telescopes The science of astronomy was revolutionized after the invention of the telescope in the early 17th century Telescopes and detectors have been constantly improved over time in order to look at fainter and more distant objects A telescope can be thought of as a 'light bucket' - collecting and gathering photons into a useful image Optical Telescope Design Telescopes must be able to collect light and concentrate it to a single point, or focus Traditionally, optical telescopes (which gather visual light) have used either lenses or mirrors to focus light A reflecting telescope uses mirrors A refracting telescope uses lenses Reflecting Telescope A reflecting telescope uses a series of mirrors to bring light to a focus The largest mirror is called the primary The mirror surface is curved such that all light will be bounced back to a single point No matter where light hits the mirror, it should reflect to the focus 1

Types of Reflectors Refracting Telescope A refracting telescope uses a glass lens to bring light to a focus Just as a prism bends light, a lens is able to bend each light ray such that it comes to a single point Chromatic Aberration Whenever light passes through a glass, different wavelengths of light will bend at different angles Think of a prism breaking white light into a rainbow The effect, called chromatic aberration, happens with a glass lens Blue light is bent more than red light, causing the different colors to come to a focus at slightly different places 2

Advantages of a Reflector Most modern, large telescopes in astronomy are reflecting telescopes because this design has many advantages over a refracting telescope Chromatic aberration in lenses can be reduced, but never eliminated Passing light through a substance results in some of the light being lost to absorption. This makes refracting telescopes less efficient at gathering light Lenses for large telescopes can be very heavy. A lens must be attached to a telescope only at the edges, leading to a difficult engineering problem A lens is composed of two surfaces, which each have to be very finely cut and polished while a mirror only has one surface Magnification Each telescope has a primary focal length for its mirror or lens In most cases, a telescope will also have an eyepiece with its own separate focal length The magnification of a telescope can be found be dividing the telescope's focal length (f o ) by the focal length of the eyepiece (f e ) NOTE: the units of each focal length must be the same for this calculation to work!!! Magnification Example Suppose you have a telescope with a focal length of 0.5 meters and you are using an eyepiece with a focal length of 25 millimeters. What is the magnification? First, each focal length must be in the same unit, so convert 0.5 meters to millimeters. 1000mm 0.5m 500mm 1m Now calculate the magnification by dividing the focal lengths. fo 500mm Magnification 20X f 25mm e This telescope would magnify an object 20 times its original size. 3

Does size matter? In general, the bigger the telescope, the better observations you can make The bigger the bucket, the more photons you can catch The light gathering power of a telescope is directly proportional to its collecting area Remember: Area is proportional to distance squared The area of a circle is r 2 Light Gathering Power Example Suppose you have a 4 inch telescope and a 24 inch telescope available. You know the 24 inch will collect more light, but how much more? First of all, the 24 inch telescope is 24 / 4 = 6 times larger than the 4 inch telescope. This means that it has 6 2 = 36 times more collecting area than the 4 inch telescope, since area is proportional to distance squared. Therefore, a 24 inch telescope can collect 36 times more light than a 4 inch, and can see objects that are 36 times fainter than ones visible in the 4 inch telescope. Light-Gathering Power The images to the right are of the Andromeda Galaxy Each was taken using the same exposure time The bottom picture was taken with a telescope twice as large as the top picture 4

Resolving Power Resolution is a measure of a telescope's ability to distinguish two very close objects as separate entities From 100 yards, you can't tell whether someone is holding up 2 fingers or four The larger the telescope, the easier it is to separate objects into two distinct shapes In astronomy, we wish to see as many of the small details as possible Resolving Power Example A telescope's angular resolution is the smallest angle at which you can distinguish two objects. Astronomers wish this number to be as small as possible in order to see every detail an object has to offer. Angular resolution is inversely proportional to the diameter of the mirror or lens. This means if you double the diameter, you will halve the resolution Suppose you have a 6 inch telescope and a 60 inch telescope. The 6 inch telescope is able to resolve stars that are at least 20 arcseconds apart. What is the angular resolution of the 60 inch telescope? The 60 inch telescope has a mirror that is 60 / 6 = 10 times larger than the 6 inch telescope. Therefore, the angular resolution of the 60 inch telescope will be 1/10 the angular resolution of the 6 inch telescope. The 60 inch telescope will be able to resolve stars that are 20 / 10 = 2 arcseconds apart from each other. Again, each image to the right is of the Andromeda galaxy, but each at a different resolution Resolving Power Resolution is usually expressed as the smallest angle where two objects can still be distinguished The equation for angular resolution is: wavelength( m) ( arcsec) 0.25 diameter( m) 5

Atmospheric Limitations The main obstacle to astronomical observations on the Earth is our atmosphere As we saw earlier, the atmosphere blocks out many wavelengths of light (ultraviolet, X-ray, gamma rays) The atmosphere also blurs and smears images through turbulence Think about the wavy pattern seen over hot blacktop Atmospheric Seeing Turbulence and currents in the atmosphere spread out the light from the stars What should be a pinpoint of light becomes a small disk The term seeing is used to describe the atmospheric conditions Less disturbance in the atmosphere results in better seeing conditions This is why most major observatories are located at high elevations or very dry areas Kitt Peak (Arizona), Mauna Kea (Hawaii), Andes Mnts (Chile) Detectors The job of the telescope is to collect the light, but another device must be used to form an image In the early days of astronomy, film or emulsion plates were used to form an image Chemical reactions occur when light strikes the surface (old film cameras) Over the past couple decades, image acquisition has been revolutionized by the invention of chargecoupled devices (CCD's) 6

CCD's Charge-coupled devices are small arrays of silicon (just like your digital camera) Each unit of the array is a picture element, or pixel When a pixel is hit by a photon, an electrical charge is created The amount of light directly corresponds to the strength of the built up charge The array is then read out with each pixel carrying a charge A computer then translates this charge information into an image CCD's Advantages of CCD's Charge-coupled devices are much more efficient at trapping light than film or plates This gives astronomers the ability to see much fainter objects Also, it takes less time to expose on a given object Since the information is already digital, it is much easier to transfer and analyze 7

Telescopes at Other Wavelengths In the last century, many telescopes have been built to monitor other wavelengths of light Many of these instruments were not intended for astronomical use Scientists investigating sources of radio noise (static) found that objects in the sky (and the sky as a whole) emitted radio waves Satellites searching for illegal nuclear tests discovered astronomical objects which emit gamma rays Radio Telescopes Radio waves are relatively unaffected by the Earth's atmosphere, clouds, rain, and even sunlight This means radio astronomer can observe at almost any time, during the day/night, clouds, rain, etc Green Bank, West Virginia Radio Telescopes Arecibo Observatory, Puerto Rico 8

Space Telescopes Most wavelengths around the infrared, ultraviolet, X-ray, and gamma rays are inaccessible on Earth The past few decades has seen a flurry of space telescopes dedicated to making observations at these wavelengths Outside the atmosphere, there are relatively few restrictions on what you can observe Space Telescopes Infrared Spitzer Space Telescope Visible - Ultraviolet Hubble Space Telescope X-Ray Chandra Telescope Interferometry One way astronomers can gain resolving power is to combine the information from an array of many telescopes Two smaller diameter telescopes placed a mile apart can provide the resolution of a telescope with a mile diameter With proper precautions, the light from the two telescopes can be brought together and create an interference pattern If the light is in phase, constructive interference occurs and the signal is strengthened If the light is out of phase, destructive interference occurs and the signal is canceled out 9

Interference Radio Interferometers The Very Large Array (VLA), New Mexico Optical Interferometers Center for High Angular Resolution Astronomy CHARA was built by GSU and is the most powerful optical interferometer in the world 10