OPTI 201R L27-3

# OPTI 201R L27-3 - 266 8.4.1 Paraboloid Mirror Figure 8.18...

This preview shows pages 1–5. Sign up to view the full content.

OPTI 201R Fall 2009 266 8.4.1 Paraboloid Mirror Figure 8.18 Conic sections.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
OPTI 201R Fall 2009 267 Figure 8.19 Parabola surface in cross section. defines a parabola FS SM ! (8.29) " # " # 22 z fy f z \$ \$ % \$ ! \$ (8.30) 2 2 2 2 2 4 z fz f y f fz y fz % % % ! \$ % !\$ 2 z (8.31) (f is a positive value) 2 4 y z f \$ ! sag (exact) of a parabola (8.32) 2 2 y z R ! sag (paraxial approx.) of a sphere (8.33) 42 f R \$! so 2 R f \$ ! focal length of a parabola (positive) (R is the radius of curvature at the vertex) (R is the radius of curvature of the "base" sphere)
OPTI 201R Fall 2009 268 Figure 8.20 Plane wave is parallel to the directrix. Prove that every ray (not just in the paraxial region) comes to focus at F*: Prove that OPL off-axis = OPL on-axis :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
OPTI 201R Fall 2009 269 Consider a plane wave incident on the mirror, with the incoming wavefront at F*. Define the OPL as the distance from any point on this plane to the mirror, to the final focus at F*. As the wave propagates, and if the parabola images to a perfect point
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/01/2009 for the course OPTI 201r taught by Professor Dereniak during the Spring '08 term at Arizona.

### Page1 / 5

OPTI 201R L27-3 - 266 8.4.1 Paraboloid Mirror Figure 8.18...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online