University of California
College of Engineering
Department of Electrical Engineering
and Computer Sciences

EECS 117B 4 units

T.K. Gustafson Spring 1997

Electromagnetic Fields and Waves

Problem Set No. 5

Problem No. 1
Establish equation 14.13 (12) for the Gaussian beam mode in the paraxial approximation.

Problem No. 2
Establish equation 14.15 (8) for z₀² as determined by R₁, R₂, and d.

Problem No. 3
A parallel pair of inifinite plane mirrors having reflectivity r₁ and r₂ are separated by a
distance d = lambda/2 + delta, where | delta | << lambda/2, and r₁ = r₂ = 0.99

(a) Assuming linear polarized waves, obtain the transmission as a function of delta.

(b) Find the value of delta for transmission of 50%.

(c) Show that the "resonant mode" can be viewed as a resonant RLC circuit.
      Find the value of Q.

Problem No. 4   Problem 10.3 (c)

Problem No. 5   Problem 10.3 (d)

Problem No. 6 nbsp; Problem 10.6 (a) - (neglect last sentance)

Problem No. 7 nbsp; Problem 10.5 (a)