WeekProb_Oct_19

# WeekProb_Oct_19 - Discussion Problems Due in Section week...

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Discussion Problems Due in Section week of Oct 19, 2009 Problem 1 Coherent plane wave of wavelength λ is incident on 3 equally spaced point-like slits, with adjacent slits separated by a distance d . The light passing through these slits then hits a screen far away. Focus on a point P on the screen at an angle θ from the slits, and answer the following in terms of λ , d , and θ . a. Write down the phase difference, δ , for a pair of neighboring slits as a function of d , λ and θ . b. Draw a phasor diagram representing the electric field contributions from the 3 slits at the point P for an arbitrary θ . c. Draw the phasor diagram for particular values of δ in the range [0 , 2 π ), corresponding to i. principal (i.e. global) maxima ii. minima (Hint: there are 2 minima for 0 δ < 2 π .) iii. secondary (i.e. local) maxima (Hint: between the minima there should be a maximum.) d. What are the values of I/I o for the situations i , ii , iii where I is the net intensity for the corresponding δ , and I o is defined to be the intensity due to a single slit.

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