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Light, Optics and Telescopes Trip to Lick Observatory

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<strong>Light</strong>, <strong>Optics</strong><br />

<strong>and</strong> <strong>Telescopes</strong><br />

<strong>Trip</strong> <strong>to</strong> <strong>Lick</strong> Observa<strong>to</strong>ry<br />

• <strong>Lick</strong> Observa<strong>to</strong>ry trip: Thursday, May 6<br />

! <strong>to</strong>ur starts at 6:30pm<br />

! leave campus no later<br />

than 4:30pm<br />

! return about 11:00pm<br />

• Fill out info form (if you<br />

haven’t already)…<br />

! return it <strong>to</strong>day<br />

• If you need transportation,<br />

we’ll need $10 deposit by<br />

5/4 <strong>to</strong> guarantee a spot<br />

! it will be returned if<br />

you go on the trip


Next few classes…<br />

• This week’s labs…<br />

! in Nat. Sci. II Room 110/190 (just around the corner)…<br />

! bring your telescope kit<br />

!<br />

• Thursday’s class -- more telescope observing…<br />

! meet at 7:30pm at the Porter Squiggle<br />

! some of the same object’s as last week (be there if you<br />

didn’t h<strong>and</strong> in observations <strong>to</strong> Corey last week)<br />

! some new ones<br />

• Next Tuesday’s lab<br />

! make up missed labs<br />

How we see:<br />

• We see an object when light from the object reaches our<br />

eyes.<br />

• Either because the object emits light...<br />

! the Sun, a star, a light bulb<br />

• Or because the object reflects light<br />

! the Moon, the planets, your desk


Eyes <strong>and</strong> brain process information<br />

• We figure out where an object is<br />

! from the direction light enters the eye...<br />

• We get color information from the light's wavelength<br />

• An object appears red if it emits red light (a traffic light…)<br />

! or if it reflects red light (an apple).<br />

Why is the sky blue…<br />

• It’s not that air has a bluish glow…<br />

• Air molecules scatter sunlight, particularly blue parts of the<br />

spectrum.<br />

• Blue light reaches us<br />

from all directions.


At sunset, even more “reddening”…<br />

In space the sky is dark…


The electromagnetic spectrum<br />

• “White” light contains a<br />

mixture of colors…<br />

! similar <strong>to</strong> that in sunlight.<br />

• Our eyes are insensitive <strong>to</strong> most of the electromagnetic<br />

spectrum.<br />

Early studies of light…<br />

• Showed that it traveled at a finite speed…<br />

! Galileo tried <strong>to</strong> demonstrate this with lanterns<br />

! Olas Roemer succeeded with Jupiter’s moons<br />

• New<strong>to</strong>n developed a “particle” theory of light<br />

• Christian Huygens developed a “wave” theory<br />

! light waves analogous <strong>to</strong> sound waves<br />

In fact, they were both right…


<strong>Light</strong> as a wave…<br />

• <strong>Light</strong> has wave-like properties…<br />

! diffraction<br />

! interference<br />

Pho<strong>to</strong>ns: light as a particle<br />

• <strong>Light</strong> has particle-like properties…<br />

! travels in straight line<br />

! <strong>and</strong> “bounces”<br />

! i.e. reflects<br />

! transfers energy in discrete “quanta”<br />

Pho<strong>to</strong>electric Effect: blue<br />

pho<strong>to</strong>ns knock electrons<br />

off metal; red pho<strong>to</strong>ns don’t,<br />

even lots of them.<br />

diffraction of<br />

water waves<br />

diffraction of light


Wave fronts <strong>and</strong> light rays<br />

• Waves travel circularly<br />

(spherically) from source<br />

! light “rays” show<br />

direction of travel<br />

• If source is distant…<br />

! wavefronts are flat<br />

! light rays are parallel<br />

Why are distant objects hard <strong>to</strong> see?<br />

• They are faint<br />

! light spreads out as it<br />

travels from source<br />

• They are small<br />

! angular size is small


The spectrum, again<br />

• Different regions of the spectrum….<br />

! have different wavelengths…<br />

! have pho<strong>to</strong>ns that carry different amounts of energy<br />

A look at the eye…<br />

• <strong>Light</strong> enters through the pupil...<br />

! is focused by the lens...<br />

! on<strong>to</strong> the retina.<br />

• <strong>Light</strong> entering at different angles<br />

is focused in different places.<br />

• The information your brain gets is<br />

! wavelength(s)<br />

! direction


Cameras <strong>and</strong> telescopes<br />

• Cameras are the simplest “artificial” eyes...<br />

! film takes the place of your retina...<br />

• <strong>Telescopes</strong> can be thought<br />

of as large cameras...<br />

! bring light <strong>to</strong> a focus...<br />

! on some sort<br />

of detec<strong>to</strong>r...<br />

• As in eye, light entering from different angles…<br />

! is focused in different places on detec<strong>to</strong>r<br />

Lenses <strong>and</strong> mirrors<br />

• Lenses <strong>and</strong> curved mirrors described by focal length<br />

! distance from for parallel light rays <strong>to</strong> come <strong>to</strong> a focus<br />

f f<br />

! For both: more curved = shorter focal length<br />

• Telescope optics (without eyepiece) also have focal length<br />

! (effective) distance from primary mirror/lens <strong>to</strong><br />

location of focal point


<strong>Telescopes</strong> for visual observing…<br />

• If your eye is the “detec<strong>to</strong>r”…<br />

! optics need <strong>to</strong> be more complicated<br />

• Eyepiece lens makes<br />

light rays parallel again…<br />

! your eye will<br />

focus them on<br />

retina<br />

Refrac<strong>to</strong>rs<br />

• Use a lens for primary focusing<br />

of light…<br />

• Many backyard<br />

telescopes are<br />

refrac<strong>to</strong>rs…<br />

! but its hard<br />

<strong>to</strong> make<br />

large ones


Reflec<strong>to</strong>rs<br />

• Use mirror for primary focusing of light…<br />

New<strong>to</strong>nians, Cassegrains, etc<br />

• Much jargon surrounding ways of arranging focus <strong>and</strong><br />

detec<strong>to</strong>rs…<br />

prime focus<br />

New<strong>to</strong>nian<br />

Cassegrain


Catadioptrics<br />

• Use combination of lenses <strong>and</strong> mirrors…<br />

! Schmidt-Cassegrain<br />

! Maksu<strong>to</strong>v-Cassegrain<br />

• Design allows construction of compact<br />

telescopes with long<br />

focal lengths<br />

• Which allows for<br />

! high magnification<br />

viewing<br />

! high resolution imaging<br />

• xx<br />

An optical telescope A radio telescope


Telescope mounts:<br />

• Alt-Az<br />

! azimuth axis points <strong>to</strong> zenith<br />

! altitude axis parallel <strong>to</strong> horizon, usually east west<br />

" mechanically simple, intuitive <strong>to</strong> point<br />

! for tracking need two mo<strong>to</strong>rs, computer<br />

! a camera will turn compared <strong>to</strong> sky<br />

• Equa<strong>to</strong>rial (a.k.a. “polar”)<br />

! “hour-angle” axis points <strong>to</strong> (north) pole<br />

" allows tracking with one simple mo<strong>to</strong>r<br />

" camera will turn in same way sky does<br />

! declination axis is parallel <strong>to</strong> equa<strong>to</strong>r (east-west)<br />

! mechanically difficult<br />

(the late) alt-az mounted 300ft<br />

Green Bank WVa<br />

polar mounted 140ft<br />

Green Bank WVa


Imaging: what you care about<br />

• Aperture size: light collecting area<br />

! larger diameter telescopes can see fainter objects<br />

• Angular resolution: how much angular detail you can see<br />

! larger telescopes have better angular resolution<br />

! but blurring by sky is usually the limiting fac<strong>to</strong>r<br />

• Field of view: how much of the sky you can see at once<br />

! depends on design of telescope (“plate scale”)<br />

! size of your detec<strong>to</strong>r<br />

Large telescopes collect more light…<br />

• Telescope funnels light <strong>to</strong> camera<br />

! the larger the aperture, the more light collected<br />

35mm camera at<br />

“prime focus” on<br />

a Schmidt-Cassegrain<br />

telescope


<strong>and</strong> have better resolving power…<br />

• <strong>Light</strong> passing through any opening is<br />

bent slightly…<br />

• Which makes images slightly fuzzy<br />

! instead of a pin-point dot<br />

! you get a wide dot <strong>and</strong> rings<br />

• This limits angular resolution<br />

Angular resolution<br />

• The smallest angular separation a telescope can measure<br />

! its ability <strong>to</strong> see detail<br />

low angular resolution high angular resolution


Diffraction limit<br />

• Diffraction limit: best<br />

possible angular resolution<br />

of a telescope<br />

radio telescopes<br />

need <strong>to</strong> be very<br />

large for good<br />

! wavelength of radiation: angular resolution<br />

shorter gives better<br />

angular resolution<br />

! aperture size: larger gives better<br />

angular resolution<br />

• Depends on…<br />

• Diffraction limit of telescope of diameter D :<br />

! angular diameter of central “maxima”<br />

(dot) of diffraction pattern: " # 70° ($ / D)<br />

Field of view…<br />

1000-foot Arecibo telescope<br />

• For imaging, how much of the sky you can see is set by…<br />

! “plate-scale” of telescope<br />

! depends only on focal length<br />

! arcseconds of sky per millimeter of film/detec<strong>to</strong>r<br />

! S= 206265/f mm<br />

! size of film, pho<strong>to</strong>graphic plate,<br />

or detec<strong>to</strong>r


Visual observing: what you care about<br />

• Aperture size: light collecting area<br />

! larger diameter telescopes can see fainter objects<br />

• Magnification: how much larger object appears through<br />

eyepiece than <strong>to</strong> naked eye<br />

! depends on design of telescope <strong>and</strong> eyepieces<br />

! changing eyepieces changes magnification<br />

• Field of view: how much of the sky you can see at once<br />

! depends on design of telescope <strong>and</strong><br />

Large telescopes collect more light…<br />

• Telescope funnels light <strong>to</strong> <strong>to</strong> your eye<br />

! the larger the aperture, the more light collected


<strong>Telescopes</strong> magnify…<br />

• View through eyepiece…<br />

! increases apparent angular size of object <strong>and</strong> features<br />

! allowing eye <strong>to</strong> see more detail<br />

Telescope magnification:<br />

• For a telescope (or binoculars) magnification depends on…<br />

! focal length of telescope<br />

! focal length of eyepiece<br />

M = f telescope /f eyepiece<br />

• Telescope magnification changes by changing eye pieces<br />

! “low power” = long focal length (e.g. 50mm)<br />

! “high power” = short focal length (e.g. 7mm)


Telescope focal length:<br />

• Telescope focal lengths are not usually stated directly<br />

! usually via the aperture diameter<br />

! <strong>and</strong> focal ratio (ratio of focal length <strong>to</strong> aperture)<br />

• Example: Lab telescope…<br />

! aperture diameter: 10”<br />

! focal ratio: f/6.3<br />

! focal length is 10 x 6.3 = 63” = 1600mm<br />

! magnification with a 50mm eyepiece = 1600/50 = 32<br />

! magnification with a 10mm eyepiece = 1600/10 = 160<br />

• Various accessories will change telescope’s focal length<br />

! focal reducers shorten it<br />

! Barlow lenses lengthen it<br />

Field of view: visual observing<br />

• For visual observing field-of-view is set by…<br />

! eyepiece design, primarily<br />

! focal length<br />

! diameter<br />

! Magnification of telescope/eyepiece combination<br />

• Eyepieces have an apparent field of view<br />

! e.g. 50° -- full field of view of eyepiece looks like 50° <strong>to</strong><br />

your eye<br />

• True field of view<br />

! apparent view divided by magnification<br />

! e.g. 50° eyepiece <strong>and</strong> 100x magnification focal length<br />

! you can see 0.5° of sky through eyepiece


Optical telescopes <strong>and</strong> “seeing”<br />

• Angular resolution of optical telescopes on Earth is limited<br />

! by changing atmospheric refraction<br />

! not diffraction<br />

• The effect that makes stars twinkle blurs telescope images<br />

Twinkling…<br />

• Stars twinkle because…<br />

! angular size of star is very small % …<br />

! smaller than “bouncing”<br />

due <strong>to</strong> seeing<br />

• Angular size of planets is larger…<br />

! they are blurred by seeing….<br />

! but don’t seem <strong>to</strong> twinkle<br />

% Stars look point-like through a telescope even with very<br />

high magnification


Better seeing in space<br />

• Best seeing on Earth is a fraction of an<br />

arcsecond<br />

• Even small telescopes in space<br />

are useful<br />

Adaptive <strong>Optics</strong><br />

• Astronomers now try <strong>to</strong> track<br />

atmospheric wobbling...<br />

! with fraction-of-a-second images...<br />

! <strong>and</strong> artificial guide stars...<br />

2.4m HST


More atmospheric problems…<br />

• Many wavelengths can only be observed from space…<br />

! ultraviolet<br />

! x-ray<br />

! gamma-ray<br />

! many infrared wavelengths<br />

• The atmosphere doesn't just blur these wavelengths...<br />

! it absorbs them.<br />

Next week: Observing Stars<br />

• Parallax <strong>and</strong> distance measurements<br />

• The magnitude scale<br />

• Spectra, <strong>and</strong> what you can learn from them

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