I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequen...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and ε ε,60 . The phasor electric field is given by the Note that the wavenumber of the dielectric k ko, where ko-o/c ωνμοε0 . Find the (a) relative dielectric permittivity (dielectric constant) (b) direction of propagation n, which is a unit vector (e) angle between the direction that the electric field vector points and the direction of in.
A uniform plane wave propagating in a lossless dielectric medium (parameters E1 = 15€0, M1 = Mo. 01 = 0) is incident on a lossy dielectric medium (parameters E2 = 280, H2 = Mo. 02 #0) as shown in the figure. The frequency of the wave is given as 12 GHz and the incidence angle ; is equal to 47 degrees. It is observed that the unit vectors in the direction of propagation for the transmitted wave isām = žāx...
[3] A uniform plane electromagnetic wave (UPEMW) propagating in a lossless nonmagnetic dielectric half-space medium with εr = 16 is incident obliquely at the interface plane with another lossless nonmagnetic half-space with εr = 4. The two dielectric half-spaces are in intimate contact with each other at the interface plane z = 0. The incident UPEMW is polarized in the plane of incidence. The angle of incidence is 60° to the normal to the interface plane. Find the fraction of...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression...
4) A plane wave in air with is incident upon the planar surface of a dielectric material, with e2.25, occupying the half-space z 2 0. Determine (a) The incidence angle i (e) The field E, of the reflected wave (d) The field E of the wave transmitted into the dielectric, (e) The average power density carried by the wave into the dielectric medium.(30 pts.) (b) The frequency of the wave. Hint: This incident wave is a mixture of parallel and...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
5. A plane, linearly polarized light wave, with intensity, Io, is transmitted through a system of perfect linear polarizers (we assume that all light is transmitted in the transmission direction but in the perpendicular direction all light is absorbed). Give for the following systems of polarizers and transmission directions the total transmitted intensity: (angles are measured in the same direction and relatively to the polarization direction of the incident light) a) one at 90° angle b) two at the angles...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air onto deep fresh water with Ep-81 (σ 0). The rms value of the incident electric field is 1 V/m. Find the rms value of the reflected and transmitted electric field. (a) pn0.8943,
A uniform plane wave propagating in free space reaches a planar dielectric boundary at normal incidence, as shown below. The dielectric medium is characterized by (mu_0, 4epsilon_0), and the incident power flux density is 10 watt/m^2. Find the (a) transmitted power flux density and (b) reflected power flux density. (c) If the dielectric medium is replaced by a perfect conducting medium, find the (a) transmitted power flux density and (b) reflected power flux density.
Problem 6 SGhz plane wave is incident on aluminum oxide (e 9.8,r 1) at an angle to the normal of 45 degrees. Find the faction of reflected and transmitted powers for s and p polarizations Problem 6 SGhz plane wave is incident on aluminum oxide (e 9.8,r 1) at an angle to the normal of 45 degrees. Find the faction of reflected and transmitted powers for s and p polarizations