elementary optics- keplerian layout

Transcription

elementary optics- keplerian layout
Elementary Optical Concepts
A Simple Camera
Inverted image
Object
f
b
a
Thin lens formula: 1/f = (1/a) + (1/b)
Elementary Optical Concepts
A Simple Camera
Inverted image
Object
f
b
a
Thin lens formula: 1/f = (1/a) + (1/b)
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens
Eyepiece lens
Image
feyepiece
fobjective
Basic layout of the Keplerian telescope.
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens
Eyepiece lens
Image
feyepiece
fobjective
Off-axis light rays
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens
Eyepiece lens
Image
Telescopes magnify angles
Mag = fobj/feye
feyepiece
fobjective
Telescope magnification
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens (Diameter = D)
Eyepiece lens
Image
Pupil diameter = D/Mag
Exit pupil
Mag = fobj/feye
fobjective
feyepiece
Field plane
(or image plane)
Fields and Pupils
Entrance pupil
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens (Diameter = D)
Eyepiece lens
Image
Pupil diameter = D/Mag
Exit pupil
feyepiece
Field plane
(or image plane)
fobjective
Entrance pupil
The exit pupil is an image of the entrance pupil formed by the eyepiece lens.
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens
Eyepiece lens
Image
The eye is an integral part of the “telescope system”
Collimated light: light rays from individual image points are parallel.
Elementary Optical Concepts
A Simple Keplerian Telescope
Objective lens (Diameter = D)
Eyepiece lens
Image
Pupil diameter = D/Mag
Exit pupil
Telescopes magnify angles
Mag = fobj/feye
feyepiece
Field plane
(or image plane)
fobjective
Entrance pupil
“Night glasses” and “richest -field’ telescopes
•
•
•
•
If the exit pupil of a telescope is bigger than about 7mm, all the light
won’t enter our dark-adapted eye
A “rich-field” telescope has just the right focal length eyepiece lens to
give us all the light we can use and no more
The objective lenses of 7x50 binoculars are just the right size to give
us all the light we can use from a seven-power telescope
Questions
– What is the magnification of the telescope in our example?
– What’s the “richest-field” objective lens diameter for our telescope?
– Why might we want to use a higher power eyepiece, even if it gives us an
exit pupil smaller than 7 mm?
– What power eyepiece would give us “richest field” performance with an
8-inch diameter telescope with a focal length of 40 inches?
– What would be the focal length of a “rich field” eyepiece for our 8-inch,
f/5 telescope?
– Why wouldn’t we want binoculars with larger diameter objective lenses
than 50 mm?