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

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Presentation transcript:

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

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

Examples of layered structures for photonic crystals

Matrix Theory of Multilayer Optics

Wave Transfer (Transmission) Matrix

Scattering Matrix

Scattering and Wave Transfer Matrices

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

Example

Cross first boundary

Example

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

Non-normal incident Light

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

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

Photonic Crystals and Bragg Gratings

Photonic Stop Bands

Photonic Stop Bands

Photonic Bandgap

Examples