A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the sur...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: (a) The surface charge density...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
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...
Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum along the z−axis. The wave is incident on a conductor which is placed at z > 0 region of the space. The conductor has conductivity σ, magnetic permeability µ and electric permittivity ε. (a) Find the characteristic time for the free charge density which dissipates at the conductor. (b) Write the Maxwell equations and derive the wave equation for a plane wave propagating in...
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. In the region x<0 (air), an electromagnetic uniform plane wave with phasorelectric fieldAIR 1 PEC E (x)-iSe is incident upon a perfect electric conductor (PEC) at x -0 Leave answers in terms of free space (air) parameters k,70 Find the (a) phasor reflected electric field E b) total phasor magnetic field H(x) in the air region xco () phasor surface electric current density Js on the perfect electric conductor (PEC) 1. In the region x
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described by - 561 nm, propagating in a B = (B1 sin(kz - @))i + where B1 - 6.8 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and y directions, respectively. 6) What is tmax, the first time after t - 0, when the magnitude of the electric field at the origin (x-y-z-0) has its maxiumum value? s...
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...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
8a: a light wave of amplitude E sub 0 = 1 traveling in the +z direction is incident on a slab of glass, refractive index n=1.5, at perpendicular incidence. It has wavelength λ = 2π/k in vacuum. Determine the reflection coefficient, R, and transmission coefficient, T for the wave. b. Now assume that the slab has thickness a, meaning its boundaries are located at z = 0 and z = a. Assume it is infinite in all other directions. In...