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.
Changing the position of the screen will result in a blurry image.
Two stars separated by an angle $\theta$ in the sky, will create images separated by a distance $d$ on the detection screen.
Two point sources getting closer.
$$\theta_{\textrm{min}} = 1.22 \frac{\lambda}{D}$$
The human eye
Focusing the eye
Magnification: $$\begin{equation} M = \frac{f_1}{f_2} = \frac{f_{\textrm{objective}}}{f_\textrm{eyepiece}} \end{equation}$$
Lenses aren't perfect.
Chromatic Aberrations
Different Colors with have different focal points
Spherical Aberrations
Fixing Aberrations
A mirror ray diagram
Galileo's Telescope
Saturn as viewed through Galileo's telescope
https://www.astromatic.net/2009/05/23/see-saturn-as-galileo-did
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 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
Scintillation of a star, over time
http://spaceweathergallery.com/indiv_upload.php?upload_id=124490
Moon Seeing Effect
Mountain in the atmosphere
A CCD device
The transparency of the atmosphere
Adapted from https://earthobservatory.nasa.gov/Features/RemoteSensing/remote_04.php
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? $$\theta_{\textrm{min}} = 1.22 \frac{\lambda}{D}$$
Credit: Author H. Schweiker/WIYN and NOAO/AURA/NSF link
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.
The Hubble Space Telescope
Hubble before and after
The telescope that ate astronomy.
Inspecting the mirrors on the James Webb Space Telescope
Credit: NASA/Chris Gunn - https://www.flickr.com/photos/nasawebbtelescope/8047310260
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.
Image Credit: NASA/Chris Gunn - https://www.flickr.com/photos/nasawebbtelescope/30116152713/
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