ECEN 466 Final Exam
Dec. 12 - 16
Fall 2005
Prof. Stephen M. Schultz – 422-1693
Name:________________________
Instructions – Please Read
1. Closed book and closed notes
2. 3” x 5” note card
3. 3 hour time limit
4. Graphing Calculator Allowed
5. This exam consists of
a. 10 multiple choice questions worth xx points each.
b. 4 true/False questions worth xx points each
6. Be sure to show your work because you could potentially get some credit
back for missed problems.
7. There are some charts, graphs, and equations that you might find useful
at the end of the test.
Appendix
ABCD matrices
1 d 
Propagation in a homogeneous media M  

0 1 
1
Refraction at a planar boundary M  0


0
n1 
n2 
1

n

Refraction at a spherical boundary M   2  n1
 n R
2

0
n1 
n2 
0
 1
1


Transmission through a thin lens M  
 f 1


Gaussian beam propagation using ABCD matrices
1 1

 j
q R
 W2
q2 
A q1  B
C q1  D
Table 1: Zeros of Bessel functions.
Jo(x)
J1(x)
J2(x)
J3(x)
J4(x)
J5(x)
J6(x)
J7(x)
2.405
3.832
5.136
6.380
7.588
8.772
9.936
11.086
5.520
7.016
8.417
9.761
11.065
12.339
13.589
8.634
10.173
11.620
13.015
11.792
Rayleigh scattering silica glass:  R  cR
1
4
dB / km
Table 2: Attenuation for standard optical fiber.
Wavelength
850 nm
SMF28
1.8 dB/km
62.5/125
2.72 dB/km
1300 nm
0.35 dB/km
0.52 dB/km
1380 nm
0.50 dB/km
0.92 dB/km
1550 nm
0.19 dB/km
0.29 dB/km
Specifications for SMF28
Dispersion equation for SMF28 optical fiber: D 
So
4

4o 



3 

So
4

4o 



3 

So=0.092 ps/km nm2, λo=1310nm
Neff=1.468
Core diameter 8.2μm
Index difference =0.0036
Specifications for MMF 62.5/125
Dispersion equation for SMF28 optical fiber: D 
So=0.092 ps/km nm2, λo=1310nm
Neff=1.491
Core diameter 62.5μm
Index difference =0.02