Q1)
Q2)
derivative fof this one:
Newton: xn+1=xn+f(xn)/f (xn), start x0=2.5:
X1=2.67
X2=2.83
X3=2.93
X4=3.04
X5=3.05
So optimum number is 3 spacing is 500/3 = 167 km.
Q1)
x2 y2 z2
+
+
+ 2 xyr63 E z = 1;
no2 no2 ne2
x cos
=
y sin
sin x
x = x cos 45 + y sin 45, y = x sin 45 + y cos 45
cos y
x2 y2 z2
+
+
+ 2 xyr63 E z
no2 no2 ne2
x 2 cos 2 45 + 2 x y cos 45 sin 45 + y 2 sin 2 45 + x 2 sin 2 45 2 x y cos 45 sin 45
HW 2 Solutions
1)
E3
E2
E1
13: B13 N1
32: A32 N 3
31: A31 N 3
21: A21 N 2
b)
dN 3
= B13 N 1 A32 N 3 A31 N 3
dt
dN 2
= A32 N 3 A21 N 2
dt
2)
(a)
E3 ( kB 300 K )
N 3 N ge
E E
k 300 K )
hc ( kB 300 K )
=
= e ( 3 2) ( B
=e
N 2 N ge E2 ( kB 300 K )
where is
Q1)
Using the matrices from the lecture slides, the retarder has to be rotated by 135
degrees in order to be in the same position like the retarder in the drawing. With the
polarizers the matrices are:
1 0 cos 135o sin 135o 1 0 cos( 135o ) sin( 135o ) 0 0
Photonics
Homework
Sheet 2
1.
Assume a system with three energy levels E1, E2 and E3. E1 is the
ground state with a very high population.
a) Write down the rates for all the transitions possible under the
assumption that only radiation with energy E3 - E1
Photonics
Homework
Sheet 7
1.
Show that for the KDP crystal with an electric field in z-direction, the same
formula is obtained for the dependence of the refractive indices on the electric
field as in the lecture if the new principle axes are the old ones
Photonics
Sheet 6
1.
Assume the following set up for a Pockels Cell:
Use Jones Matrices to find the transmission formula T=sin2(/2), with
being the phase angle introduced by the retarder. Hint: T is proportional
to E2, and use the following identity:
x
Photonics
Homework
Sheet 4
1.
What is the maximum gain G of a 1.48-m pumped erbium-doped fiber amplifier
when the pump power Pp = 80 mW? What is the gain when the output light
power P is 1 mW? The relevant parameters are:
Note: You have to use the contain
Photonics
Homework
Sheet 3
1.
What is the signals stimulated emission cross section s of Er3+ if you
have the following information: =1550 nm, transition width =50 nm,
refractive index n=1.46, level life time =10 ms?
2.
Consider an EDFA with a fiber lengt
Optoelectronics
Homework
Sheet 2
1.
Prove (using the corresponding matrices) that the focal length of two lenses with focal
length f1 and f2 combined (no space in between them) is given by the formula
1
1
1
=
+
f
f1 f 2
2.
Tiny glass balls are often used
Photonics
Homework
Sheet 5
1.
Calculate the formula for the point at which a Raman amplifier reaches its
maximum amplification.
2.
Derive the formula for the maximum gain (= Ps,max/Ps,0) using the result
from question 1.
3.
Assume a single mode silica fib
ELCT 1001
Optoelectronics Devices and Circuits
Spring 2016
Lecture 07: Optical Receivers
Dr. Hassan Mostafa
.
[email protected]
scholar.cu.edu.eg/hmostafa/classes/elct-1001
ELCT 1001: Optoelectronics
German University in Cairo (GUC)
AVALANCHE
PHOTODI
IC design for wireless system
Lecture 1
Dr. Ahmed H. Madian
[email protected]
1
Course Objective
To bridge the gap between the circuit and system visions
in wireless design.
To build up low frequency integrated circuit operations
increasing complexi
14/11/1431
IC design for wireless system
Lecture 5
Dr. Ahmed H. Madian
[email protected]
1
outlines
Introduction to mixers
Mixer metrics
Mixer topologies
Mixer performance analysis
Mixer design issues
Dr. Ahmed H. Madian-IC for wireless systems
1
2
21/11/1431
IC design for wireless system
Lecture 6
Dr. Ahmed H. Madian
[email protected]
1
outlines
Introduction to mixers
Mixer metrics
Mixer topologies
Mixer performance analysis
Mixer design issues
Dr. Ahmed H. Madian-IC for wireless systems
1
2
28/11/1431
IC design for wireless system
Lecture 7
Dr. Ahmed H. Madian
[email protected]
1
outlines
Introduction to mixers
Mixer metrics
Mixer topologies
Mixer performance analysis
Mixer design issues
Dr. Ahmed H. Madian-IC for wireless systems
1
2
IC design for wireless system
Lecture 8
Dr. Ahmed H. Madian
[email protected]
1
Outlines
Introduction
Characteristic Values of ADCs
Nyquist-Rate ADCs
Oversampling ADC
Practical Issues
Low Power ADC Design
Dr. Ahmed H. Madian-IC for wireless systems
IC design for wireless system
Lecture 9
Dr. Ahmed H. Madian
[email protected]
1
Outline
What is Phase Locked Loop (PLL)
Basic PLL System
Problem of Lock Acquisition
Phase/Frequency Detector (PFD)
Charge Pump PLL
Application of PLL
Dr. Ahmed H.
Spring 2010: Radio Frequency Integrated Circuits (TSEK03)
1/18
Tutorial-1
Low Noise Amplifier (LNA) Design
Complied by Rashad M. Ramzan
Objective:
Low noise amplifiers are one of the basic building blocks of any communication system.
The purpose of the LN
Faculty of Information Engineering & Technology
Electrical & Electronics Department
Course: IC wireless (ELCT 910) Project
Due date: April.28, 2013
Associate Prof. Ahmed Madian
Project
Its required to design a 2.4 GHz Low Noise Amplifier for Zigbee Applic
IC design for wireless system
Lecture 4
Dr. Ahmed H. Madian
[email protected]
1
Common matching techniques
Before the LNA or the input-stage of the
LNA needs to interface to 50-Ohm impedance
Common-matching techniques
Common-source stages
Resistive
ELCT910
Integrated circuit for wireless communication
Dr. Ahmed Madian
Sheet 2
1. For the shown in fig. 1 Common source amplifier find an
expression for the IP3 assume that the transistor in
Saturation
a) Consider that the current is given according to th
IC design for wireless system
Lecture 2
Dr. Ahmed H. Madian
[email protected]
1
Course outline
Overview of Wireless communication systems
Low-noise amplifiers
Receiver nonidealites
Local Oscillators
Mixers
Analog to digital Converters
Frequency synt
IC design for wireless system
Lecture 3
Dr. Ahmed H. Madian
[email protected]
1
Low noise Amplifier
The general topology of any LNA could be divided
out into three stages
Input matching network (Rin)
The amplifier
Output matching network (Rout)
This
ELCT 705
Semiconductor Technology
Fall 2013
Lecture 10: Revision
(Modified version of Dr. Mohamed Ragaa Balboul slides of Fall 2012)
Dr. Hassan Mostafa
.
[email protected]
Course website:
http:/scholar.cu.edu.eg/hmostafa/classes/elct-705
ELCT 705: Se
ELCT 705
Semiconductor Technology
Fall 2013
Lecture 09:
Thin Film Deposition
(Modified version of Dr. Mohamed Ragaa Balboul slides of Fall 2012)
Dr. Hassan Mostafa
.
[email protected]
ELCT 705: Semiconductor Technology
German University in Cairo (GUC