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Field Distribution
The transverse distribution um(y) of the electric-field complex amplitude of a TE mode in a slab waveguide is given by:
a slab waveguide is given by:
cos(2Π(sinθm/λ)y) → m = 0, 2, 4, 6 .....
um(y) ∝
sin(2Π(sinθm/λ)y) → m = 1, 3, 5 .....
and
exp(-γmy) → y > d/2.
exp(-γmy) → y < -d/2.
Derive an expression for the ratio of the proportionality constants. Plot the distribution of the m = 0 TE mode for a slab waveguide with parameters n1 = 1.48, n2 = 1.46, d = 0.5 pm, and λ0 = 0.85 μm, and determine its confinement factor (percentage of power in the slab).
Consider a circular disk with radius R that has a uniformly distributed surface charge of Q.
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