Instruments

Basic Optics

Rays of Light

A pinhole will project an inverted image on a plane.

The image will be in focus everywhere. It's size changes based on the position of the focal plane.

Converging Lens

Images

blurry images focal plane

Changing the position of the screen will result in a blurry image.

Light from stars

two stars lens

Two stars separated by an angle $\theta$ in the sky, will create images separated by a distance $d$ on the detection screen.

Waves of light

circular aperature

Airy Disc

three plots of an airy disc

There is a limit

circular diffraction getting closer

Two point sources getting closer.

Unresolved point sources

unresolved diffraction

Rayleigh Criterion

$$\theta_{\textrm{min}} = 1.22 \frac{\lambda}{D}$$

Basic Imaging Systems

The eye

eyeball

The human eye

focusing the eye

eyeball focus

Focusing the eye

A Basic Telescope

a simple telescope

Magnification: $$\begin{equation} M = \frac{f_1}{f_2} = \frac{f_{\textrm{objective}}}{f_\textrm{eyepiece}} \end{equation}$$

Aberrations

Lenses aren't perfect.

Chromatic Aberration

Chromatic Aberrations

Different Colors with have different focal points

Spherical Aberration

spherical aberrations

Spherical Aberrations

Fixing aberrations

Fixing Aberrations

Mirrors

mirror-ray-diagram

A mirror ray diagram

Some Real Instruments

Galileo's Telescope

Galileo's Telescope

Galileo's Telescope

Saturn as viewed through Galileo's telescope

https://www.astromatic.net/2009/05/23/see-saturn-as-galileo-did

Galileo's Telescope

Keplerian Optics

Yerkes Observatory 40 inch Refractor Telescope ( It is the largest refracting telescope used for astronomical research.) Williams Bay, Wisconsin, US

https://commons.wikimedia.org/wiki/File:Yerkes_40_inch_Refractor_Telescope-2006.jpg

The Great Paris Exhibition Telescope of 1900, with an objective lens of 1.25 m (49 in) in diameter, was the largest refracting telescope ever constructed. It was built as the centerpiece of the Paris Universal Exhibition of 1900. 200 ft long. Too big to use.

By Unknown - Le panorama (Paris, 1900)., Public Domain, https://commons.wikimedia.org/w/index.php?curid=20083299

A reflecting Telescope

A reflecting Telescope

Newton's Telescope

A replica of the Newton - Wickins telescope, Newton's third reflecting telescope that was presented to the Royal Society in 1766 after being restored by Thomas Heath. It is described as the better of the instruments Newton built

By User:Solipsist (Andrew Dunn) - www.andrewdunnphoto.com, CC BY-SA 2.0, https://commons.wikimedia.org/w/index.php?curid=513483

Where should we put these telescopes?

Astronomical seeing

scintillation

Scintillation of a star, over time

http://spaceweathergallery.com/indiv_upload.php?upload_id=124490

Moon Seeing Effect

Mountain in the atmosphere

Detectors

Charge-coupled Device: CCD

A CCD device

Other Wavelengths

The transparency of the atmosphere

Adapted from https://earthobservatory.nasa.gov/Features/RemoteSensing/remote_04.php

Radio Telescopes

Clouds linger at twilight over the Karl G. Jansky Very Large Array in its most compact configuration.

Credit: NRAO/AUI/NSF link

What if $\lambda$ is really big? $$\theta_{\textrm{min}} = 1.22 \frac{\lambda}{D}$$

Arecibo

Credit: Author H. Schweiker/WIYN and NOAO/AURA/NSF link

Orbiting Astronomical Observatory

The Orbiting Astronomical Observatory (OAO) satellites were a series of four American space observatories launched by NASA between 1966 and 1972, which provided the first high-quality observations of many objects in ultraviolet light.

Let's put a telescope above the atmosphere. There, instruments will be able to reach the diffraction limit mentioned above, rather than the seeing limit of ground based observatories.

Hubble

The Hubble Space Telescope

Hubble before and after

The telescope that ate astronomy.

Inspecting the mirrors on the James Webb Space Telescope

The primary mirror of NASA's James Webb Space Telescope, consisting of 18 hexagonal mirrors, looks like a giant puzzle piece standing in the massive clean room of NASA's Goddard Space Flight Center in Greenbelt, Maryland.

Other improvements

  1. Active Optics - mirrors that move.
  2. Adaptive Optics - guide stars

Adaptive Optics

An artificial star

Make a star using a laser.

Saturn without and with Adaptive Optics

Credit: Heidi B. Hammel and Imke De Pater/WMKO Keck