7. Consider two waves traveling in the same direction but with two slightly different angular frequencies ω- Δω and ω+ 2Δο. Let the fields have the same amplitude and polarization. a. Show the sum of...
For this problem, consider the sum of two slightly different waves with similar electric fields: v1(z,t) = sin(wt - kz) v2(z,t) = sin([w + Dw]t - [k + Dk]z) Derive analytically an expression for the group and phase velocity for the sum of the two fields. HINT: sin(a) + sin(b) = 2 sin[(a+b)/2]cos[(a-b)/2]
Part B Constants Learning Goal Find C, Veavelope (x, t), and ycarrier(,t) To see how two traveling waves of nearly the same frequency can create beats and to interpret the Express your answer in terms of A, ki, k2, x, t, wi, and w2. Separate the three parts of your response with commas. Recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. Both Venvelope and ycarrier Figure 1 of 1 should be trigonometric functions...