vi(z,t) = sin(@t - kz) v2(Zt) = sin([@ + A@]t- [k+ Ak]z) %3D Derive analytically an expression for a) the group and b) the phase velocity for the sum of the two fields. HINT: sin(a) + sin(B) = 2 sin[(a+B)/2]cos[(a-B)/2]

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vi(zt) = sin(@t - kz)
v2(zt) = sin([@ + A@]t - [k+ Ak]z)
Derive analytically an expression for a) the group and b) the phase velocity for the sum of
the two fields.
HINT: sin(a) + sin(B) = 2 sin[(a+B)/2]cos[(a-B)/2]
Transcribed Image Text:vi(zt) = sin(@t - kz) v2(zt) = sin([@ + A@]t - [k+ Ak]z) Derive analytically an expression for a) the group and b) the phase velocity for the sum of the two fields. HINT: sin(a) + sin(B) = 2 sin[(a+B)/2]cos[(a-B)/2]
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