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08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For...
[3] A uniform plane electromagnetic wave (UPEMW) propagating in a lossless nonmagnetic dielectric half-space medium with...
[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...
A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivity eo and...
A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivity eo and permeability o Find the reflection and transmission co- efficients. Does a Brewster angle exist for this case where the reflection coefficient vanishes for a particular angle of incidence? Show all necessary illustration, and assumptions made.
A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivity eo and permeability o Find the reflection and transmission co- efficients....
A plane wave of angular frequency ω is incident on a plasma medium with permeability µ0...
A plane wave of angular frequency ω is incident on a plasma
medium with permeability µ0 and permittivity ε = ε0 (1 −
ωp2 /ω2) where ωp is
the plasma frequency and ω = 2ωp.
a) Calculate the critical angle θc such that the incident wave
is totally reflected
b) Calculate the Brewster angle θB such that TM waves
are totally transmitted
c) In general for any two isotropic media, can you find an
incident angle θ such that θ...
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 direc...
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...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, ...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water...
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...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
n1n2 ECE 107: Homework 10 Due Friday June 5 by 4:30 1) A plane wave reflects from a surface where the angle of inci...
n1n2 ECE 107: Homework 10 Due Friday June 5 by 4:30 1) A plane wave reflects from a surface where the angle of incidence is greater than the critical angle for total intemal reflection. Show that the incident and scattered clectric fields fom a standing wave normal to the surface and a propagating wave parallel to the surface. What are the periods of the standing and propagating waves if the incident wavelength of the light is 2? Ek T
n1n2...
Please clearly show all work 3. We studied plane wave incident to two different medium. Now extend the knowledge to the multilayer structure 72 73 E, E.2 z=0 Calculate the both Reflection and Transmi...
Please clearly show all work
3. We studied plane wave incident to two different medium. Now extend the knowledge to the multilayer structure 72 73 E, E.2 z=0 Calculate the both Reflection and Transmission Coefficient using EM wave , (a) when plane wave is normal incident at the interface, (b) plane wave is non-normal incident at interface. (Reference: Fresnel's coefficient) 4. Consider same condition of #3. Apply the transmission line theory to determine the impedances.
3. We studied plane wave...
[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...
A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivity eo and permeability o Find the reflection and transmission co- efficients. Does a Brewster angle exist for this case where the reflection coefficient vanishes for a particular angle of incidence? Show all necessary illustration, and assumptions made.
A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivity eo and permeability o Find the reflection and transmission co- efficients....
A plane wave of angular frequency ω is incident on a plasma
medium with permeability µ0 and permittivity ε = ε0 (1 −
ωp2 /ω2) where ωp is
the plasma frequency and ω = 2ωp.
a) Calculate the critical angle θc such that the incident wave
is totally reflected
b) Calculate the Brewster angle θB such that TM waves
are totally transmitted
c) In general for any two isotropic media, can you find an
incident angle θ such that θ...
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...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
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...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
n1n2 ECE 107: Homework 10 Due Friday June 5 by 4:30 1) A plane wave reflects from a surface where the angle of incidence is greater than the critical angle for total intemal reflection. Show that the incident and scattered clectric fields fom a standing wave normal to the surface and a propagating wave parallel to the surface. What are the periods of the standing and propagating waves if the incident wavelength of the light is 2? Ek T
n1n2...
Please clearly show all work
3. We studied plane wave incident to two different medium. Now extend the knowledge to the multilayer structure 72 73 E, E.2 z=0 Calculate the both Reflection and Transmission Coefficient using EM wave , (a) when plane wave is normal incident at the interface, (b) plane wave is non-normal incident at interface. (Reference: Fresnel's coefficient) 4. Consider same condition of #3. Apply the transmission line theory to determine the impedances.
3. We studied plane wave...
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