6. EM waves in matter with boundaries Flashcards

(25 cards)

1
Q

How is the frequency of an EM wave affected across a boundary?

A

It is unchanged by reflection or transmission

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2
Q

How do the incident and reflected angles relate?

A

They are equal
i=r

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3
Q

What is Snell’s law?

A

n1sin(i) = n2sin(t)

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4
Q

What are the Fresnel conditions?

A

n × (H2 − H1) = 0
n × (E2 − E1) = 0

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5
Q

What are the boundary conditions for the s component of an EM wave?

A

Ei+Er=Et
Hicos(i)+Hrcos(r)=Htcos(t)

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6
Q

What are the boundary conditions for the p component of an EM wave?

A

Hi-Hr=Ht
Eicos(i)+Ercos(r)=Etcos(t)

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7
Q

What assumption is made for the p component of an EM wave?

A

The electric field is such that
i=r=t=0

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8
Q

What is the equation for the reflection coefficient for the s component?

A

rS=Er/Ei

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9
Q

What is the equation for the transmission coefficient for the s component?

A

tS=Et/Ei

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10
Q

What is the reflectance for the s compinent?

A

RS=(Er/Ei)2

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11
Q

What is the equation for the reflection coefficient for the p component?

A

rP=Er/Ei

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12
Q

What is the equation for the transmission coefficient for the p component?

A

tP=Et/Ei

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13
Q

What are the reflection coefficients at normal incidence for n2>n1?

A

They are negative

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14
Q

What is the equation for the Brewster angle?

A

tan(iB)=n2/n1

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15
Q

What is the equation for the Critical angle?

A

sin(ic)=n2/n1

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16
Q

What is the significance of the Brewster angle?

A

The Brewster angle is at which the reflection coefficient for the p component is 0

17
Q

What polarisation is light at the Brewster angle?

18
Q

What is the equation for current density in a conductor?

A

Jf=gE
Where g is the conductivity

19
Q

How do B and H relate for isotropic media?

20
Q

How do D and E relate for isotropic media?

21
Q

What is the equation for wavenumber for a conductor?

A

k~sqrt(µgω)

22
Q

What is the dispersion relation for plane waves?

A

k2=iµ0µrgω+µ0µrε0εrω2

23
Q

What is the equation for the skin depth?

A

δ =sqrt(2/µgω)

24
Q

What is the wavelength of a wave in a conductor?

A

λ = 2πδ
Where δ is the skin depth

25
What is the reflection coefficient for a conductor?
r=(ZC-Z0)/(ZC+Z0)~-(1-2ZC/Z0)