# lecture32 - Questions what is the intensity of the...

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Unformatted text preview: Questions:- what is the intensity of the double-slit pattern at an arbitrary position?- What about three slits? Interference of Light Interference of Light • Intensity of double-slit pattern • Three slits Young’s Double Slit Experiment Young’s Double Slit Experiment Screen at infinity Path difference Minimum intensity at d θ d sinθ = ( m + ½ ) λ , m = 0, 1, 2, … Δx = d sin θ Maximum intensity at d sinθ = m λ , m = 0, 1, 2, … Δx Find the intensity of the double-slit interference pattern as a function of position on the screen. where: Two waves: E 1 = E sin( ϖ t ) E 2 = E sin( ϖ t + φ ) 2 2 sin x d π π ϕ θ λ λ = ∆ = 2 2 1 2 4 cos ( ) 2 2 with sin R R I E I x d φ π π φ θ λ λ = = = ∆ = Trigonometry: sin a + sin b = 2 cos [(a-b)/2] sin [(a+b)/2] E 1 + E 2 = E [sin( ϖ t ) + sin( ϖ t + φ )] = 2 E cos ( φ / 2 29 sin( ϖ t + φ / 2 )] Resultant amplitude E R Resultant intensity, (a function of angle θ to the screen) 2 with I E =- fringes are wide, with fuzzy edges- equally spaced (in sin or small ) θ θ- equal intensity position I Quiz...
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lecture32 - Questions what is the intensity of the...

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