2.13 Consider a dielectric slab having a thickness d= 10 mm and index of refraction n¡ = 1.50. Let the medium above and below the slab be air, in which n, = 1. Let the wavelength be 1 = 10 mm (equal to the thickness of the waveguide). (a) What is the critical angle for the slab waveguide? (b) Solve Eq. (2.26b) graphically to show that there are three angles of incidence that satisfy this equation. (c) What happens to the number of angles as the wavelength is decreased?

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Eq 2.2: Ex(2,t)=Re(È) = E, Eox cos (wt tkz)=È„Ex
Eq 2.3: Ey(z,t)=èyEoycos (wt-Kz+5)=èyEy
Eq 2.8: tan2x
= 2Eox Eoycos 8
%3D
2
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Transcribed Image Text:Eq 2.2: Ex(2,t)=Re(È) = E, Eox cos (wt tkz)=È„Ex Eq 2.3: Ey(z,t)=èyEoycos (wt-Kz+5)=èyEy Eq 2.8: tan2x = 2Eox Eoycos 8 %3D 2 -
2.13 Consider a dielectric slab having a thickness
d= 10 mm and index of refraction n = 1.50.
Let the medium above and below the slab
be air, in which n, = 1. Let the wavelength
be 1 = 10 mm (equal to the thickness of the
waveguide).
(a) What is the critical angle for the slab
waveguide?
(b) Solve Eq. (2.26b) graphically to show that
there are three angles of incidence that
satisfy this equation.
(c) What happens to the number of angles as
the wavelength is decreased?
Transcribed Image Text:2.13 Consider a dielectric slab having a thickness d= 10 mm and index of refraction n = 1.50. Let the medium above and below the slab be air, in which n, = 1. Let the wavelength be 1 = 10 mm (equal to the thickness of the waveguide). (a) What is the critical angle for the slab waveguide? (b) Solve Eq. (2.26b) graphically to show that there are three angles of incidence that satisfy this equation. (c) What happens to the number of angles as the wavelength is decreased?
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