The Figure above shows TE polarised light incident on a dielectric interface. Light is in- cident from the upper left, in a sourced medium with refractive index ns at an angle of incidence 0₁, onto an unsourced medium with refractive index nu, and transmitted at angle of refraction T. Both media are non-magnetic. The vectors H₁, HR, HT are the magnetic fields for incident, reflected and transmitted waves respectively; the corresponding E fields point into the paper, as shown by the arrow-tail symbols. State the boundary conditions on the E and H fields, then use these to prove that the amplitude transmission coefficient tre is given by ET E₁ 2ng cos 01 ng cos 0₁ + nu cos OT (Justify any assumption relating impedance to refractive index). tTE =
The Figure above shows TE polarised light incident on a dielectric interface. Light is in- cident from the upper left, in a sourced medium with refractive index ns at an angle of incidence 0₁, onto an unsourced medium with refractive index nu, and transmitted at angle of refraction T. Both media are non-magnetic. The vectors H₁, HR, HT are the magnetic fields for incident, reflected and transmitted waves respectively; the corresponding E fields point into the paper, as shown by the arrow-tail symbols. State the boundary conditions on the E and H fields, then use these to prove that the amplitude transmission coefficient tre is given by ET E₁ 2ng cos 01 ng cos 0₁ + nu cos OT (Justify any assumption relating impedance to refractive index). tTE =
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![E₁
H₁
X
OR
ET
E₁
tTE =
ER
HT
ET
HR
ns
Transverse Electric, TE
nu
The Figure above shows TE polarised light incident on a dielectric interface. Light is in-
cident from the upper left, in a sourced medium with refractive index ng at an angle of
incidence 0₁, onto an unsourced medium with refractive index nu, and transmitted at angle
of refraction T. Both media are non-magnetic. The vectors H₁, HR, HT are the magnetic
fields for incident, reflected and transmitted waves respectively; the corresponding E fields
point into the paper, as shown by the arrow-tail symbols.
State the boundary conditions on the E and H fields, then use these to prove that the
amplitude transmission coefficient tre is given by
Z
2ng cos 01
ng cos 0₁ + nu cos OT
(Justify any assumption relating impedance to refractive index).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb360a251-a88e-4e24-b6e1-ceeebc35a45e%2F99ffb130-2af7-4c58-9bab-f40efcb9cd18%2F9jon4tj.jpeg&w=3840&q=75)
Transcribed Image Text:E₁
H₁
X
OR
ET
E₁
tTE =
ER
HT
ET
HR
ns
Transverse Electric, TE
nu
The Figure above shows TE polarised light incident on a dielectric interface. Light is in-
cident from the upper left, in a sourced medium with refractive index ng at an angle of
incidence 0₁, onto an unsourced medium with refractive index nu, and transmitted at angle
of refraction T. Both media are non-magnetic. The vectors H₁, HR, HT are the magnetic
fields for incident, reflected and transmitted waves respectively; the corresponding E fields
point into the paper, as shown by the arrow-tail symbols.
State the boundary conditions on the E and H fields, then use these to prove that the
amplitude transmission coefficient tre is given by
Z
2ng cos 01
ng cos 0₁ + nu cos OT
(Justify any assumption relating impedance to refractive index).
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