1. Trivia Question
Who is credited (at least on WIKIPEDIA) with first discovering anti-reflection coatings on optics? (a) Lord Rayleigh (b) James Maxwell (c) Michael Faraday (d) Christiaan Huygens (e) Thomas Edison

2. Trivia Question
Who is credited (at least on WIKIPEDIA) with first discovering anti-reflection coatings on optics? (a) Lord Rayleigh (b) (c) (d) (e)

3. Examples of layered structures for photonic crystals

4. Matrix Theory of Multilayer Optics

5. Wave Transfer (Transmission) Matrix

6. Scattering Matrix

7. Scattering and Wave Transfer Matrices

8. For loss-less boundaries
For scattering Matrix
Energy Conservation!!!!
For transmission Matrix
For lossless AND Reciprocal (r and t in backward and forward directions the same) Matrix

9. Example

10. Cross first boundary

11. Example

12. Non-normal waves in layered medium
Fresnel reflection and transmission coefficients now dependent on incident angle AND polarization.

13. Non-normal incident Light

14. Fabry-Perot Etalon
FP etalons are useful for NARROWBAND and tunable (by changing distance d) filters.

15. Fabry-Perot Interference Fringes in Dielectric Slab
How does putting a thin metallic coating on the surfaces of n2 change the fringes?

16. Photonic Crystals and Bragg Gratings

17. Photonic Stop Bands

18. Photonic Stop Bands

19. Photonic Bandgap

20. Examples