Circularly polarized waves. Consider a superposition of waves traveling in the z

Question

Circularly polarized waves. Consider a superposition of waves traveling in the z direction, with fields where E1, and E2 may be complex (C1 and C2 are real.) Calculate the average energy flux S avg. Suppose E1., = C and K2 = iC, i.e., C1, = C2 = C and . = 0 = = pi /2. Determine the direction of E as a function of E as a function of t, at a point on the xy plane. Describe the result in words and pictures. For the same field as (b), determine the direction or E as a function of z for a snapshot, of the field t = 0. Describe, the result in words and pictures.

Explanation / Answer

The Energy flux is given by the poynting vector ---> (E x B)/0

E = iE1cos(kz-t) + jE2cos(kz-t)

cB = jE1cos(kz-t) - iE2cos(kz-t) ----> S = {E21cos2(kz-t) + E22cos2(kz-t)} /0c

If E1 = c and E2 = iC, here i means iota ----> then E = iCe-it + jiCe-it = Ce-it( i + ji) the second is iota and the one in the exponential is also iota, the imaginary number. ---> this is when z=0

When t=0 ---> E becomes Ceikz( i +ji)

All underlined quantities are vectors

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.