Reflecting surface equation using Fermat's principle

  • Thread starter Thread starter CaptainQuaser
  • Start date Start date
  • Tags Tags
    Shape Surface
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
CaptainQuaser
Messages
167
Reaction score
0
Here is the question, I just need verification, don't know how to make the fancy formulas here so bear with me...

Consider a reflecting surface that produces parallel rays from a point source of light. The axis of the mirror lies on the x-axis which passes through the mirror at x=y=0. The source is at x = d, y=0 and rays of light are produced paralled to the x axis. Using Fermat's Principle, derive the equation of the relecting surface.

I am doing this on my palm pilot right now, so I will try to draw a picture of my thoughts.
 

Attachments

  • fermat.JPG
    fermat.JPG
    14.9 KB · Views: 510
Physics news on Phys.org
Anyone? Am I on the right track?