A number N of plane waves are travelling parallel; the waves share a common wavevectork and common direction of electric field vector along unit vector û, but each wave has itsown distinct amplitude Eoi and phase difference 8. Therefore the ith wave (for 1 ≤ i ≤N)has electric field given byEi = Eoiû Re [exp j(kr - wt + 8;)].From this, prove that the total intensity Inet including interference is given byInet =|Ec|2270where the complex amplitude Ę is defined byNEc = Eoi exp(jdi),and no is the impedance of free space.i=1

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