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Question: consider a monochromatic plane wave urta cos2tk r ...

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Consider a monochromatic plane wave u(r,t)-a cos(2πιt-k , r + p) with frequency 569 THz, amplitude a-22 (units of W12/cm) and φ = 0 . Assuming propagation in vacuum, determine the magnitude of the wave vector. Also, write down the complex wave function U(r,t) as function of time and space and determine its magnitude. At r-0, sketch the real-valued wave u(r,t) over at least three optical cycles. Also, sketch the real part and the imaginary part of the complex wave function over the same time interval. Which of those functions are equal?

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