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Problem 6 SGhz plane wave is incident on aluminum oxide (e 9.8,r 1) at an angle to the normal of 45 degrees. Find t...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequen...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air onto deep fresh water with Ep-81 (σ 0). The rms value of the incident electric field is 1 V/m. Find the rms value of the reflected and transmitted electric field. (a) pn0.8943,
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...
An electromagnetic wave is incident on an interface between two materials at Brewster angle. The normal...
An electromagnetic wave is incident on an interface between two materials at Brewster angle. The normal of the interface is a = -0.8âx + 0.6ây and the electric field of the wave is (T) = (9âx – 22.5ây)e-j(4x+1.6y) V/m. a) Find the Brewster angle. b) If ni = 3.0, determine the value of nt. c) The reflected field Ę(ř). d) (Optional, extra points) The transmitted field Ęt (ñ).
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,...
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:...
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...
how can I solve this problem? A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is...
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...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find electric field and magnetic field components of the reflected field, d) Find the power components of the reflected and transmitted wave clectric field component given by E = a,2 x 10-3e iz is propagating through a medium 4 and A, 1 in the normal direction. A) Find its magnetic field component, b) Find Bonus (Each is worth 7.5 pts) a) Derive the...
Just only need to answer the bellow 2 question. 1.Find the focus position if a plane wave is incident at an angle,...
Just only need to answer the bellow 2 question.
1.Find the focus position if a plane wave is incident at an
angle, q with respect to the optical axis, z.
2.Prove the same result using ray optics.
4. Show that the complex field transmittance, t of a double convex lens has the following form 1 + (x, y) h, exp-ik where 2f angle, q with respect Find the focus position if a plane wave is incident at an V (Bonus...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air onto deep fresh water with Ep-81 (σ 0). The rms value of the incident electric field is 1 V/m. Find the rms value of the reflected and transmitted electric field. (a) pn0.8943,
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...
An electromagnetic wave is incident on an interface between two materials at Brewster angle. The normal of the interface is a = -0.8âx + 0.6ây and the electric field of the wave is (T) = (9âx – 22.5ây)e-j(4x+1.6y) V/m. a) Find the Brewster angle. b) If ni = 3.0, determine the value of nt. c) The reflected field Ę(ř). d) (Optional, extra points) The transmitted field Ęt (ñ).
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,...
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:...
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...
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...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find electric field and magnetic field components of the reflected field, d) Find the power components of the reflected and transmitted wave clectric field component given by E = a,2 x 10-3e iz is propagating through a medium 4 and A, 1 in the normal direction. A) Find its magnetic field component, b) Find Bonus (Each is worth 7.5 pts) a) Derive the...
Just only need to answer the bellow 2 question.
1.Find the focus position if a plane wave is incident at an
angle, q with respect to the optical axis, z.
2.Prove the same result using ray optics.
4. Show that the complex field transmittance, t of a double convex lens has the following form 1 + (x, y) h, exp-ik where 2f angle, q with respect Find the focus position if a plane wave is incident at an V (Bonus...
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