Two sources of radio waves (call them 1 and 2) are separated by a distance d on

Question

Two sources of radio waves (call them 1 and 2) are separated by a distance d on t in the plane, and emit sinusoidal waves of the same wavelength and frequency (+y), S (-y), E (+), and W (-) directions. he r -axis w in the N Assume that d is much less than the distance away where the signal is to be received. Hint: This allows you to make a simplifying approximation in the N and S directions (but not the E and W ones). (a) Suppose that we want to arrange the sources to broadcast signals in the N and S direc- tions, but not in the E and W ones. Can this be accomplished? I so, how? If not, why not? (b) Suppose that we want to arrange the sources to broadcast signals in the E andVw directions, but not in the N and S ones. Can this be accomplished? If so, how? If not, why not? Answer #2:

Explanation / Answer

a] If the broadcasting signal must only be in North and South, the signals in East and West must destructively interfere to give zero output in horizontal direction. This will happen when the path difference between the waves from the two detector which in this case is the distance d is odd multiples of half wavelength.

b] Broadcasting signal in only East and West implies that the signals in North and South must destructively interfere. Since the separation between the sources is horizontal therefore, the signal in north and south from the two sources will always be in phase (zero phase difference in the vertical direction). Hence receiving a signal in only East-West direction cannot be accomplished.

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