final notecard - Constructive same freq constant phase...

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Unformatted text preview: Constructive: same freq, constant phase relationship, r 2- ρ 1 = μ λ , amplitudes add Destructive: amplitudes subtract, r 2- ρ 1 = ( μ + 1 2 29 λ 2 slit interference: Constructive: d sin θ = μ λ Destructive: d sin θ = ( μ + 1 2 29 λ Distance from center to m th brightest: y m = Ρ μ λ δ (small angles only) Amplitude of 2 waves: E p = 2 Ε χοσ φ 2 Intensity: I = Ε π 2 2 μ χ = Ι χοσ 2 ( φ 2 29 Max Intensity: I = 2 ∈ χΕ 2 (4x ind I) Given Direction: I = Ι χοσ 2 ( π δ λ σιν θ 29 Phase difference: k is wave # φ = 2 p l ( r 2- r 1 ) = k ( r 2- r 1 ) λ = λ n k = κ ν Thin Films: Amplitude of reflected wave E r = ν α- ν β ν α + ν β Ε ι If n a >n b : light travels faster in 2 nd material, E r and E i have the same sign, phase shift = 0 If n a =n b : no reflected wave (E r = 0) If n a <n b : light travels faster in 1 st material, E r and E i have opposite signs, phase shift = π Interference (t=thickness) If no phase shift: constructive occurs @...
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