wk7a - Todays summary A new look at propagation and phase...

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Today’s summary A new look at propagation and phase delays Description of plane & spherical waves in terms of phase delay Interference Interferometers – Michelson – Mach-Zehnder – Young MIT 2.71/2.710 Optics 10/18/04 wk7-a-1
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Optical path delay t = 0 z z = 2.875 λ t = T /4 z MIT 2.71/2.710 Optics 10/18/04 wk7-a-2
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Optical path delay MIT 2.71/2.710 Optics 10/18/04 wk7-a-3 z t = 0 0 E 0 2 2 E z = 2.875 λ t = T /4 z 0 2 2 E 0
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Optical path delay t = T /2 MIT 2.71/2.710 Optics 10/18/04 wk7-a-4 z z t = 3 T /4 0 E 0 2 2 E 0 2 2 E 0 z = 2.875 λ
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Optical path delay z t () t E ω cos 0 + 4 cos 0 π t E z = 2.875 λ t MIT 2.71/2.710 Optics 10/18/04 wk7-a-5
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Optical path delay z t () t E ω cos 0 + 4 7 cos 0 π t E z = 2.875 λ t λ z i E t kz E 2 exp cos 0 0 In general, phasor due to propagation (path delay) MIT 2.71/2.710 Optics 10/18/04 wk7-a-6
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Plane wave propagation z =0 path delay increases linearly with x x x λ θ z plane of observation MIT 2.71/2.710 Optics 10/18/04 wk7-a-7
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Plane wave propagation z z =0 path delay increases linearly with x x x plane of observation θ + θ λ π cos 2 sin 2 exp 0 z i x i E λ MIT 2.71/2.710 Optics 10/18/04 wk7-a-8
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Plane wave propagation x path delay φ at fixed z π 2 π 3 π π –2 π –3 π λ 2 λ 3 λ 3 λ 2 λ λ λ θ π sin 2 slope () ϕ cos 2 sin 2 where exp 0 z x i E + = MIT 2.71/2.710 Optics 10/18/04 wk7-a-9
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wk7a - Todays summary A new look at propagation and phase...

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