Another optics question

  • Thread starter jlmac2001
  • Start date
  • #1
jlmac2001
75
0
I don't understand how to do the following problem. I don't even know where to start.

Problem: Show that, in the paraxial domain, the magnification produced by a single spherical interface between two continious media given by Mt=-n1s1/n2s0. Use the small-angle approximation for Snell's Law and approximate the angles by their tangents.
 

Answers and Replies

  • #2
mmwave
211
2
Originally posted by jlmac2001
I don't understand how to do the following problem. I don't even know where to start.

Problem: Show that, in the paraxial domain, the magnification produced by a single spherical interface between two continious media given by Mt=-n1s1/n2s0. Use the small-angle approximation for Snell's Law and approximate the angles by their tangents.

This one seemed tough to me the first time too. It's way simpler than you think. There is only one surface so all you need is snell's law, draw two rays from your object, use geometry to get hi/ho and then replace the tangents with the angles det. from snell's law.

A good diagram helps. I got mine from Intro to Optics by Pedrotti.

A further hint is that you want to use sin alpha is approx. alpha in snell's law and then in the equation for hi/ho use tan alpha is approx. alpha. Does it help you to know the answer is correct?
 

Suggested for: Another optics question

Replies
1
Views
354
  • Last Post
Replies
1
Views
487
Replies
6
Views
303
  • Last Post
Replies
7
Views
329
  • Last Post
Replies
4
Views
220
  • Last Post
Replies
4
Views
318
  • Last Post
Replies
4
Views
543
Replies
2
Views
566
Replies
7
Views
336
  • Last Post
Replies
27
Views
749
Top