2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separati...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
P.7-19 A uniform plane wave in air with E,(2) a, 10e6 (V/m) is incident normally on an interface at 0 with a lossy medium having a dielectric constant 2.25 and a loss tangent 0.3. Find the following: a) The phasor expressions for E,lz) H,) E,(2), and H,(2) b) The standing-wave ratio for the wave in air. c) The expressions for time-average Poynting vectors in air and in the lossy medium.
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.
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
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...
19. A linearly polarized wave propagates in a perfect dielectric medium with relative permittivity of 2. The wave reaches the interface between this medium and air at an angle of incidence 60°. The wave's electric field vector is parallel to the plane of incidence. What percentage of the incident power is transmitted in air? 20. A plane electromagnetic wave traveling in vacuum is normally incident onto a vacuum/dielectric boundary. 36% of the incident power is carried by the reflected wave....
(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...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...