1. a) Use the equation below And the V-b equation: Find the solutions of the transcendental V-b equation above for the f

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1.
a) Use the equation below

1 A Use The Equation Below And The V B Equation Find The Solutions Of The Transcendental V B Equation Above For The F 1 (7.21 KiB) Viewed 26 times

And the V-b equation:

1 A Use The Equation Below And The V B Equation Find The Solutions Of The Transcendental V B Equation Above For The F 2 (1.4 KiB) Viewed 26 times

Find the solutions of the transcendental V-b equation above for
the following parameters for the TE modes m=0, 1 and 2:
n1=1.49 (core)
no=1.45 (cladding)
a=5 mm
l=1550 nm
What is the effective index of refraction for each mode? Plot
(Using Matlab)) the m=0, 1 and 2 modes as a function of x (Plot
Ey(x)). (30 marks for correct graphs and 10 marks
for effective index)
b)
Use the modes that you generated in (a) show that these modes
are orthogonal with each other unless m=n. This can be done
by showing that,

1 A Use The Equation Below And The V B Equation Find The Solutions Of The Transcendental V B Equation Above For The F 3 (1.17 KiB) Viewed 26 times

if m≠n
For all of your modes.
A cos(ka-)e-ox-a) E,= A cos(kx - $) A cos(ka + ex+a) (x > a) (-a ≤x≤ a) (x < -a),
=m/T+2tan^(b/(1–3)) 2 2V(1-6)/2=
E.m(x) x En(x) dx = 0