Determine the wave polarization of each of the following waves:
(a) E0 cos(wt + {3y)ax + E0 sin(wt+ {3y)azV/m
(b) E0 cos(wt - {3y)ax- 3E0 sin(wt+ {3y)azV/m
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Determine the wave polarization of each of the following waves: (a) E0 cos(wt + {3y)ax +...
please 10.35 (a) and 10.36 (a) 10.35 Determine the wave polarization of each of the following waves (a) E, cos(wt + Bya, + E, sin(wt + By)a, V/m (b) E, cos(wt - Byla, - 3E, sin(wt + ßy)a. V/m 10.36 Determine the polarization of the following waves: (a) E, - 40el*a, + 60e1103a, V/m (b) E, = 12ej" 3 2 -1104a, + 5e3al3 e 110%, V/m
Problen 7: Compare the polarization states of each of the following pairs of plane waves: (a) wave 1: E1-32 cos(wt - kz) + y2 sin(wt - kz) wave 2: E2- 32 cos(ot + kz) + y2 sin(ot + kz) (b)wave 1: E12 cos(ot - kz) -y2sin(ot - kz) wave 2: E2- 32 cos(ot + kz) - y2sin(ot + kz)
10.37 Determine the wave polarization of each of the following waves:
A cos(kx - wt) and y2 = A cos(kx - wt - 6) represent two waves traveling in the same direction with the same amplitude A, frequency w, and wave number k, but with a phase difference . Here, A = 14.0 m, w = 3.95 s1, and k 15.5 m-1 y, (a) Write the expression for the resultant of the two waves using the numerical values given above for A, w, and k. Do not enter units for the...
5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state. 5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state.
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation 3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
4. Plot the locus of E(0,t) for a plane wave with Ē (z,t) = î cos(wt+kz) +ŷ 1.3 sin(wt + kz) (V/m) Determine the polarization state from your plot. Determine the direction of propagation of the wave.
verage power density Sav (Hint: It is a real vector.) 6. De termine the propagation direction and the polarization (linear or circular) of the plane circular polarization, determine if it is LHCP or RHCP. waves bel E, = cos(at + k),Ep = sin(wt + ky), E,-0 a. ,Ez = sin(at-kx--),Er=0 C. A 0.5mm thick metal sheet is mit verage power density Sav (Hint: It is a real vector.) 6. De termine the propagation direction and the polarization (linear or circular)...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation. 7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state.