Homework Answers
Soln:-
Snells law holds for both ordinary and extraordinary wave .for
simplicity let the external medium be air(n=1).
Then we can write -
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Let a plane wave be incident on a plane boundary from the inside of a negative...
Consider a plane electromagnetic wave propagating in KDP crystal (uniaxial) with its axis k lying in...
Consider a plane electromagnetic wave propagating in KDP crystal (uniaxial) with its axis k lying in the y-z plane and making angle 45° with the optic (or z) axis. Assuming no 1.507 and ne 1.467, obtain phase velocities of the ordinary and extraordinary waves. What is the angle between E and D vectors for the two waves?
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 from 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- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the s...
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...
II1. A plane wave is incident on a glass-air interface with a sinusoidal boundary from the...
II1. A plane wave is incident on a glass-air interface with a sinusoidal boundary from the high index side. The period of the surface is d; the wavelength of the light is 2; the angle of incidence is 6. Discuss fully how the incident wave is scattered by the interface.
3. A perpendicular-polarized plane wave is incident at an angle 0, - 20P from plastic (?...
3. A perpendicular-polarized plane wave is incident at an angle 0, - 20P from plastic (? 4e, , ? Ho) to a region of free space. Find the angle of transmission Find the value of the reflection coefficient ?? . Find the value of the transmission coefficient ? Find the critical angle, defined as the angle of incidence ?, at which the a) . c) angle of transmission becomes ?.-900
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...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For an oblique incidence, the reflection coefficients for the S and P waves are generally different from each other. Consider a special case where the reflection coefficient is equal to zero. When it occurs, the incidence angle is defined as the Brewster angle Og. (1) What are the values of Brewster angle e, for the S and P waves, respectively? (2) Repeat part (1) for...
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....
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)...
A plane wave is incident on a dielectric slab of permittivity er and thickness d at an incidence angle θο, where d A)/(...
A plane wave is incident on a dielectric slab of permittivity er and thickness d at an incidence angle θο, where d A)/(4 Ver) and λο is the free-space wavelength of the incident wave, as shown in the accompanying figure. If free-space exists on both sides of the slab, find the reflection coefficient of the wave reflected from the front of the slab. Assume normal incidence now. Under what conditions the reflection is minimum? Show an illustration of the problem,...
Consider a plane electromagnetic wave propagating in KDP crystal (uniaxial) with its axis k lying in the y-z plane and making angle 45° with the optic (or z) axis. Assuming no 1.507 and ne 1.467, obtain phase velocities of the ordinary and extraordinary waves. What is the angle between E and D vectors for the two waves?
A monochromatic, plane electromagnetic wave, incident from 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- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
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...
II1. A plane wave is incident on a glass-air interface with a sinusoidal boundary from the high index side. The period of the surface is d; the wavelength of the light is 2; the angle of incidence is 6. Discuss fully how the incident wave is scattered by the interface.
3. A perpendicular-polarized plane wave is incident at an angle 0, - 20P from plastic (? 4e, , ? Ho) to a region of free space. Find the angle of transmission Find the value of the reflection coefficient ?? . Find the value of the transmission coefficient ? Find the critical angle, defined as the angle of incidence ?, at which the a) . c) angle of transmission becomes ?.-900
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...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For an oblique incidence, the reflection coefficients for the S and P waves are generally different from each other. Consider a special case where the reflection coefficient is equal to zero. When it occurs, the incidence angle is defined as the Brewster angle Og. (1) What are the values of Brewster angle e, for the S and P waves, respectively? (2) Repeat part (1) for...
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....
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)...
A plane wave is incident on a dielectric slab of permittivity er and thickness d at an incidence angle θο, where d A)/(4 Ver) and λο is the free-space wavelength of the incident wave, as shown in the accompanying figure. If free-space exists on both sides of the slab, find the reflection coefficient of the wave reflected from the front of the slab. Assume normal incidence now. Under what conditions the reflection is minimum? Show an illustration of the problem,...
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