# Optics and Telescope. Chapter Six

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1 Optics and Telescope Chapter Six

2 ASTR Fall 2007 Lecture 06 Oct. 09, 2007 Introduction To Modern Astronomy I: Solar System Introducing Astronomy (chap. 1-6) Planets and Moons (chap. 7-15) Chap. 16: Our Sun Chap. 28: Search for Extraterrestrial life Ch1: Astronomy and the Universe Ch2: Knowing the Heavens Ch3: Eclipses and the Motion of the Moon Ch4: Gravitation and the Waltz of the Planets Ch5: The Nature of Light Ch6: Optics and Telescope

3 Refraction: as a beam of light passes from one transparent medium into another say, from air into glass, or from glass back into air the direction of the light can change Refraction is caused by the change in the speed of light Vacuum: 3.0 X 10 5 km/s Glass: 2.0 X 10 5 km/s Refraction of Light A B

4 Refraction Telescope Refraction telescope uses a convex glass lens to form image Focal point: when a parallel beam of light rays passes through the lens, refraction causes all rays to converge at a point called the focus Focal length: the distance from the lens to the focal point

5 Refraction Telescope A refraction telescope consists of a large-diameter objective lens with a long focal length, and used to form object image at the focal plane used to gather light a smalleyepiece lens of short focal length Used to magnify the images for viewing by naked eyes

6 Telescope: Light-gathering Power The light-gathering power of a telescope is directly proportional to the area of the objective lens, which in turn is proportional to the square of the lens diameter Human iris: 3 mm Galileo s refraction telescope: 3 cm ; 100 times better in gathering light Modern telescope: 10 m ; 10,000,000 times

7 Telescope: Magnifying Power Magnifying power, or magnification, is equal to the focal length of the objective divided by the focal length of the eyepiece. It helps to see fine details of extended images. e.g., Moon 0.5, Galileo viewed as 10 ; or a 20X telescope Magnification power is limited by the nature of light The Primary purpose of a telescope is for its light-gathering power. The magnifying power is the secondary.

8 Refraction Telescope It is undesirable to build large refractors Glass impurities in lens opacity to certain wavelengths Chromatic abberation structural difficulties, supported only around thin edges

9 Reflection Telescope Reflecting telescopes, or reflectors, produce images by reflecting light rays to a focus point from concave mirrors. Reflectors are not subject to most of the problems that limit the size of refractors. The mirror that forms the image is called objective mirror, or primary mirror

10 Four popular optical design, depending where is the viewer or detector 1. Newtonian focus 2. Prime focus 3. Cassegrain focus 4. Coude focus Reflection Telescope

11 Reflection Telescope Does the hole in the primary mirror cause a hole in the image Any small portion of the primary mirror can make a complete image All the largest optical telescopes in the world are reflectors: 8-10 meters in diameter A Large Cassegrain Telescope European Southern Obs., Chile

12 ASTR Fall 2007 Lecture 07 Oct. 15, 2007 Introduction To Modern Astronomy I: Solar System Introducing Astronomy (chap. 1-6) Planets and Moons (chap. 7-15) Chap. 16: Our Sun Chap. 28: Search for Extraterrestrial life Ch1: Astronomy and the Universe Ch2: Knowing the Heavens Ch3: Eclipses and the Motion of the Moon Ch4: Gravitation and the Waltz of the Planets Ch5: The Nature of Light Ch6: Optics and Telescope

13 Telescope: Angular Resolution Angular resolution: the minimum angular size two close objects can be resolved by the observations Angular resolution indicates the sharpness of the telescope s image, or how well fine details can be seen

14 Telescope: Angular Resolution Diffraction-limited Angular Resolution Diffraction: the tendency of light waves to spread out when they are confined to a small area like mirrors or lenses θ = Θ: angular resolution (arcseconds); λ: wavelength (meters); D: diameter of telescope (meters) 5 λ D the larger the size of the objective mirror, the better the angular resolution For instance Human eyes: 3 mm, angular resolution 1 arcmin Galileo telescope: 3 cm, angular resolution 6 arcsec Gemini Telescope: 8 m, angular resolution 0.02 arcsec

15 Telescope: Angular Resolution Another limitation is from the blurring effects of atmospheric turbulence Seeing: a measure of the limit that atmosphere turbulence places on a telescope s resolution The best seeing is atop a tall mountain with very smooth air. Mauna Kea in Hawaii 0.5 arcsec seeing

16 Detector: Imaging Charge Coupled Devices (CCDs) are often used at a telescope s focus to record faint images. Electric charge builds up in each pixel in proportion to the number of photons falling CCD is far more better than the old-fashioned photographic film.

17 Detector: Spectrograph A spectrograph records spectrum of an astronomical object Grating: a piece of glass on which thousands of very regularly spaced parallel lines have been cut. The light from the different part of the grating interfere with each other and form the spectrum A Grating Spectrograph

18 Telescopes in orbit Free of seeing effect of the Earth s atmosphere Observe in all wavelengths The atmosphere is transparent mainly in two wavelength ranges known as the optical window and the radio window The atmosphere is opaque to X-rays, EUV light, most of infrared light, and very long radio waves. Transparency of The Earth s Atmosphere

19 Telescopes in orbit Spitzer Space Telescope Launched in cm primary mirror Infrared telescope: from 3 to 180 μm Kept cold by liquid helium to reduce the infrared blackbody radiation from telescope itself

20 Telescopes in orbit Chandra Space Telescope Launched in 1999; View the X-ray sky

21 Telescopes in orbit Hubble Space Telescope ( ) James Webb Space Telescope (JWST) Planned in 2013

22 Telescopes in orbit The Entire Sky at Five Wavelength 1: Visible 4. X-ray 2. Radio 5. Gamma-ray 3. Infrared

23 Final Notes on Chap. 6 There are 7 sections in total. We studied 6 of them, except section 6-6.

24 Advanced Question Chap. 6, Q34 in P155 Several groups of astronomers are making plans for large ground-based telescopes. (a) (b) What would be the diffraction limited angular resolution of a telescope with a 40-meter objective mirror? (b) Suppose this telescope is placed atop Mauna Kea. How will the actual angular resolution of the telescope compare to that of the 10-meter Keck 1 telescope? Asumme that adapative optics is not used.

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