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(40 marks) B-field parallel to th plane of incidence. e plane of incidence and E field...
TM waves. For the case of an incident electric field incidence show that the boundary conditions (the parallel components of E and B/u are the same at both sides of the interface) leads to: E, parall...
TM waves. For the case of an incident electric field incidence show that the boundary conditions (the parallel components of E and B/u are the same at both sides of the interface) leads to: E, parallel to the plane of 4. n Cos lo and 2n Cos θ io οι OS
TM waves. For the case of an incident electric field incidence show that the boundary conditions (the parallel components of E and B/u are the same at both sides...
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 die...
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...
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...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
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 r...
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...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a...
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a dielectric interface (permittivity &, permeability u and refractive index n) at an angle of incidence Oi with its electric field parallel to the plane of incidence. If the incident E and B fields are of the form E(r, t) = Eel(k.r-wt) and B(r,t) = -K XE 'By (a) Write the boundary conditions satisfied by the fields at the interface (b) Derive the reflection and...
question 7 and 8 Purpose To examine the properties of polarized light and the mathematical relationship...
question 7 and 8
Purpose To examine the properties of polarized light and the mathematical relationship describing the intensity of linearly polarized light (Malus'law). In addition, the lab will investigate different ways light can be polarized Overview This lab is the first of three labs exploring the properties of electromagnetic waves. Electromagnetic waves are composed of oscillating electric and magnetic fields. As discussed in the lecture the electric and magnetic field vectors are mutually perpendicular to each other. Light waves...
8. (30) A plane electromagnetic direction. The electric polarization is parallel to i. The amplitude of...
8. (30) A plane electromagnetic direction. The electric polarization is parallel to i. The amplitude of the magnetic field is Bo. A rectangular loop of wire lies in the x-z plane, with edges lying at z-a/2, z=al2, -b12, and x -b/2. (a) Find the magnetic flux in the loop wave with wave vectork and frequency o travels in the z as a function of time. (Complex notation is easiest.) (b) Calculate the induced emf E in the loop as a...
2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates...
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:...
TM waves. For the case of an incident electric field incidence show that the boundary conditions (the parallel components of E and B/u are the same at both sides of the interface) leads to: E, parallel to the plane of 4. n Cos lo and 2n Cos θ io οι OS
TM waves. For the case of an incident electric field incidence show that the boundary conditions (the parallel components of E and B/u are the same at both sides...
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...
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...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
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...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a dielectric interface (permittivity &, permeability u and refractive index n) at an angle of incidence Oi with its electric field parallel to the plane of incidence. If the incident E and B fields are of the form E(r, t) = Eel(k.r-wt) and B(r,t) = -K XE 'By (a) Write the boundary conditions satisfied by the fields at the interface (b) Derive the reflection and...
question 7 and 8
Purpose To examine the properties of polarized light and the mathematical relationship describing the intensity of linearly polarized light (Malus'law). In addition, the lab will investigate different ways light can be polarized Overview This lab is the first of three labs exploring the properties of electromagnetic waves. Electromagnetic waves are composed of oscillating electric and magnetic fields. As discussed in the lecture the electric and magnetic field vectors are mutually perpendicular to each other. Light waves...
8. (30) A plane electromagnetic direction. The electric polarization is parallel to i. The amplitude of the magnetic field is Bo. A rectangular loop of wire lies in the x-z plane, with edges lying at z-a/2, z=al2, -b12, and x -b/2. (a) Find the magnetic flux in the loop wave with wave vectork and frequency o travels in the z as a function of time. (Complex notation is easiest.) (b) Calculate the induced emf E in the loop as a...
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:...
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