ECE 4370 – Fiber and Integrated Optics
Homework Assignment #4
Due: Tuesday, March 4th, 2010 at 5:00pm
1.
Consider a planar slab waveguide of infinite extent in the y and z directions.
The guiding film index is 1.5, the substrate index is 1.48, and the cover index is 1.33.
The thickness is h = 2.1
µ
m. The waveguide is excited with a 1.33
µ
m source.
Using
Figure 3.15 and normalized parameters, determine:
a.
Number of TE modes supported.
b.
Allowed values of
β
.
2.
Consider a symmetric planar slab waveguide of infinite extent in the y and z
directions. The guiding film index is 1.5 and the substrate index is 1.48. The
thickness is h =5.5
µ
m, and the waveguide is excited with a 1.4
µ
m source.
Using
Figure 3.15 and normalized parameters, determine:
a.
Number of TE modes supported.
b.
Allowed values of
β
and the corresponding effective indices.
c.
Now assume the waveguide is asymmetric with an asymmetry
coefficient of a=10.
Determine the allowed values of
β
and the
corresponding effective indices.
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 '04
 LIPSON
 1 micron, effective index, core index, 2 microns, 1.5 microns

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