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Unformatted text preview: Questions: what is the intensity of the doubleslit pattern at an arbitrary position? What about three slits? Interference of Light Interference of Light Intensity of doubleslit pattern Three slits Youngs Double Slit Experiment Youngs Double Slit Experiment Screen at infinity Path difference Minimum intensity at d d sin = ( m + ) , m = 0, 1, 2, x = d sin Maximum intensity at d sin = m , m = 0, 1, 2, x Find the intensity of the doubleslit interference pattern as a function of position on the screen. where: Two waves: E 1 = E sin( t ) E 2 = E sin( t + ) 2 2 sin x d = = 2 2 1 2 4 cos ( ) 2 2 with sin R R I E I x d = = = = Trigonometry: sin a + sin b = 2 cos [(ab)/2] sin [(a+b)/2] E 1 + E 2 = E [sin( t ) + sin( t + )] = 2 E cos ( / 2 29 sin( t + / 2 )] Resultant amplitude E R Resultant intensity, (a function of angle to the screen) 2 with I E = fringes are wide, with fuzzy edges equally spaced (in sin or small )  equal intensity position I Quiz...
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 Winter '03
 Venus
 Physics, Light

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