1. Rainbows, Fiber Optics, and Sun Dogs section 26-8 Physics 1161: Lecture 24

2. Total Internal Reflection normal 22 11 n2n2 n1n1 Recall Snell’s Law: n 1 sin(  1 )= n 2 sin(  2 ) (n 1 > n 2   2 >  1 )  1 = sin -1 (n 2 /n 1 ) then  2 = 90 cc Light incident at a larger angle will only have reflection (  i =  r ) ii rr “critical angle” For water/air: n 1 =1.33, n 2 =1  1 = sin -1 (n 2 /n 1 ) = 48.8 0

3. Can the person standing on the edge of the pool be prevented from seeing the light by total internal reflection ? 1) Yes 2) No Preflight 24.1 10 58% 42% “There are millions of light ’rays’ coming from the light. Some of the rays will be totally reflected back into the water, but most of them will not.” 8

4. Fiber Optics

6. Indices of Refraction

7. What is the critical angle of a diamond-air boundary?

8. Internal Reflection in Diamond The critical angle for diamond in air is 24.5 o. Any ray which strikes the inside surface at an angle greater than 24.5 o will be totally internally reflected.

9. The diagrams show incident rays approaching a boundary with a second medium. The relative indices of refraction of the two media are indicated. In which diagram will total internal reflection occur, providing the angle of incidence exceeds the critical angle? 1.Diagram A 2.Diagram B 3.Diagram C 4.None of these

10. The diagrams show incident rays approaching a boundary with a second medium. The relative indices of refraction of the two media are indicated. In which diagram will total internal reflection occur, providing the angle of incidence exceeds the critical angle? 1.Diagram A 2.Diagram B 3.Diagram C 4.None of these

11. Dispersion prism White light Blue light gets deflected more n blue > n red The index of refraction n depends on color! In glass: n blue = 1.53n red = 1.52 23

12. Skier sees blue coming up from the bottom (1), and red coming down from the top (2) of the rainbow. Rainbow: Preflight 24.5 Wow look at the variation in index of refraction! Which is red? Which is blue? Blue light is deflected more!

13. Rainbow

14. Rainbow Zoom

15. Double Rainbow

16. Double Rainbow on Way to School

17. Alexander’s Dark Band Sky is light inside primary rainbow Dark between primary and secondary bows Light beyond the secondary rainbow Dark region between is called Alexander’s Dark Band

18. Green Flash http://www.faqs.org/faqs/astronomy/faq/part3/section-13.html

19. Does moon halo predict bad weather?

20. 22 o Halo A halo is a ring of light surrounding the sun or moon. Most halos appear as bright white rings but in some instances, the dispersion of light as it passes through ice crystals found in upper level cirrus clouds can cause a halo to have color.dispersioncirrus Randomly oriented hexagonal ice crystals Diameter less than 20.5 micrometers

21. Sundogs Sundogs or parhelia on right and left of sun Flat faces horizontally oriented Hexagonal ice crystals Diameter greater than 30 micrometers

22. Sundog