problem on em plane waves the em plane wave can be represented by the real part of a complex electric field ve function e(r, t) = re (e, eik. f-ar assume the wave length is 500 nm and that the k vector is in the z direction. if electric field at the origin (at r = (x, y: ,0,0)) and at time t = 0 has field strength e-1.5 y = (0.1.5.0) volts/meter, then the functional form gives the field at other location points and times. g) at the same instant of time, compare the field at locations i with the field at r'= r + 1.23 wavelengths but where the position change r-r in a direction normal to r . give all components of the new electric field at f' h) again at constant time, if we consider the point that differs from the original location point with a displacement in a direction parallel to the k by n+½ wave lengths (with n-integer), then what can we say about the change in the electric field? i) lfk. : changes by 2π what is the change in the electric field?