5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find...
[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...
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...
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t - βx)? y V/m is incident normally on a lossless medium (ε= 6ε0, ?= 8μ0) in region x ≥ 0. Determine the reflected and the transmitted wave electric and magnetic field equations.
how can I solve this problem? A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
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...
Please answer all parts of the question (a,b,c,d,e) Consider the case of oblique incidence of electromagnetic plane waves going from medium 1 to a. Draw a diagram showing the wavevectors and the directions of the electric and magnetic b. Using the appropriate boundary conditions, obtain the Fresnel equations for the reflected 1. medium 2 with the polarization perpendicular to the plane of incidence. fields of the incident, reflected, and transmitted waves for an angle of incidence θ| and transmitted complex...
2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates from region 1 with ?,-8.5 and into region 2 which is a vacuum. The wave exits at an angle of 15°. Given that the incident E-field amplitude is 10??/cm, find: a) The amplitude of the reflected electric field. b) The amplitude of the transmitted electric field c) The amplitude of the reflected magnetic field. d) The amplitude of the transmitted magnetic field. Useful Equations:...
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
mainly just looking for clarification of part c) a= cos theta t / cos theta i , b=sin theta i/ sin theta t 5. A plane electrom netic wave is obliquely incident upon an infinite plane boundary two dielectrics with refractive indices, permittivities and permeabilities m. ει, μι and respectively. In terms of the angles of incidence, O, and refraction, e, define n2-E2, μ2 sin θ sin6, (a) State succinctly what assumptions have been made about the materials to write...
2. 24 pts. Boundary conditions for EM wave reflection and transmission. The boundary conditions incident on a boundary can be written as: conditions on electromagnetic waves (ii) E- E0 (ii) B-B: =0 (a) 10 pts. Corresponding Maxwell Equations. For each equation (i, ii, iii, iv) above write the corresponding Maxwell equation in BOTH operator form AND in integral form from which the boundary condition can be derived. What terms in Maxwell's equations are assumed to be zero in the above?...