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 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 double-slit 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 [(a-b)/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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lecture32 - Questions:- what is the intensity of the...

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