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## Homework Statement

Before diving into the quantum-mechanical superposition principle, let’s get some practice with superposition in classical physics. Consider an electromagnetic wave propagating in the z-direction, which is a superposition of two linearly polarized waves. The electric field vector in the wave is E = E

_{x}+ E

_{y}, where E

_{x}= a cos(kz − ωt), E

_{y}= b cos(kz − ωt + δ). (1) The parameter δ is a real number between −π/2 and π/2, and indicates by how much the two components are out of phase. Look at the behavior of the electric field at some fixed value of z, say z = 0 for simplicity.

a) [2pt] Describe what the electric fields E

_{x}and E

_{y}are doing as a function of time.

## Homework Equations

E = E

_{x}+ E

_{y}

## The Attempt at a Solution

Well I'm not really sure how to start the problem so I just tried to put it into complex form

E

_{x}= a*e

^{i(kz-ωt)/SUP] Ey = b*ei(kz-ωt + δ) Since they are separate components, I cannot add them together so I am unsure of what to do next}