1. a) Use the equation below And the V-b equation: Find the solutions of the transcendental V-b equation above for the f
Posted: Mon May 02, 2022 5:20 pm
1.
a) Use the equation below
And the V-b equation:
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,
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
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 27 times
- 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 27 times
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 27 times
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