The electric fields of two harmonic waves of angular frequency w, and w2₂ are given by E₁ = E₁,ocos (k₁y+wit)i and E₂ = E2,0cos (k₁y-w₂t)î. Find (a) the instantaneous Poynting vector for the resultant wave motion and (b) the time-average Poynting vector. If the direction of propagation of the second wave is reversed, find (c) the instantaneous Poynting vector for the resultant wave motion and (d) the time -average Poynting vector.
The electric fields of two harmonic waves of angular frequency w, and w2₂ are given by E₁ = E₁,ocos (k₁y+wit)i and E₂ = E2,0cos (k₁y-w₂t)î. Find (a) the instantaneous Poynting vector for the resultant wave motion and (b) the time-average Poynting vector. If the direction of propagation of the second wave is reversed, find (c) the instantaneous Poynting vector for the resultant wave motion and (d) the time -average Poynting vector.
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Step 1: Determine the given data:
VIEWStep 2: a) Determine the instantaneous pointing vector for resultant wave motion:
VIEWStep 3: b) Calculate the time average of pointing vector:
VIEWStep 4: Determine the expression of electric fields when the direction of the second wave is reversed:
VIEWStep 5: c) Determine the instantaneous pointing vector for resultant wave motion:
VIEWStep 6: d) Determine the time average pointing vector:
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