3. Consider an interface between two homogeneous dielectric media (1 and 2) with
permittivities €1incoming from medium 1 with the polarization parallel to the plane of incident, incident
angle 91, , and amplitude of electric field E01- If the incident angle is varying from 0° to
a) How does the amplitude of electric field Eor of the transmitted wave depend on
b) How does the amplitude of electric field Eor of the reflected wave depend on
c) How can you characterize the values of Eor and Eor at 9¡=90°?
d) What is the Brewster's angle?
4. A vibrating electric dipole emits electromagnetic waves.
a) What is the shape of spatial distribution of intensity of the irradiation? Plot a
cartoon or explain in words.
b) How does intensity of the irradiation change, if the frequency of the vibrations
c) Suppose the rate of the energy transfer by the electromagnetic irradiation
through the sphere of radius R (R is much larger than size of the dipole) is
equal to P. If we double the radius of the sphere, what is the energy transfer
through that sphere in terms of P?
Problem 8. Suppose an optical fiber has a refractive index n = 1.55. Compute the largest angle
between the fiber axis and a light ray that will propagate along the fiber, if the fiber is
surrounded by air. Compute the angle if the fiber is surrounded by a cladding material with
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