Chapt21_22_VG2

Chapt21_22_VG2 - Incoherent vs Out of Phase Incoherent Two...

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Incoherent vs Out of Phase Coherent, but out of phase . Two signals have the same frequency, but one leads or lags the other. -1.5 -1 -0.5 0 0.5 1 1.5 -5 0 5 10 15 20 25 30 35 Field t -1.5 -1 -0.5 0 0.5 1 1.5 -5 0 5 10 15 20 25 30 35 t Incoherent Two signals have different frequencies. Sometimes the same sign, sometimes opposite signs.
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Fields in slits are coherent but out of phase Diffraction pattern shifts
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E ( r , t ) = A ( r 1 )cos( kr 1 ω t + φ 1 ) + A ( r 2 )cos( kr 2 ω t + φ 2 ) Field and Intensity far from sources suppose A ( r 1 ) = A ( r 2 ) E ( r , t ) 2 A cos( k Δ r 2 + φ 1 φ 2 2 )cos( k r ω t + φ 1 + φ 2 2 ) Trigonometry cos( A ) + cos( B ) = 2cos( A + B 2 )cos( A B 2 ) Δ r = r 1 r 2 r = r 1 + r 2 2 Field amplitude depends on space Field oscillates in time. Constructive interference when k Δ r 2 + φ 1 φ 2 2 = m π d sin θ = λ m φ 1 φ 2 2 π
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A.They fade out and disappear. B. They get out of focus. C. They get brighter and closer together. D.They get brighter and farther apart. E. They get brighter but otherwise do not change. Suppose the viewing screen in the figure is moved closer to the double slit. What happens to the interference fringes?
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Huygen’s Principle
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Chapt21_22_VG2 - Incoherent vs Out of Phase Incoherent Two...

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