ECE 460
Fall 2012
Homework 4
Due in class on Oct. 2, 2012
1. 2.4-8 from textbook
2. 2.4-9- Also: sketch the far field intensity of diffracted light
3. Derive the far-field diffraction from a slit that has the (amplitude) transmission function
of a triangu
ECE 460
Homework 2
Due in class on September 18, 2012
1. (20%) A linearly polarized light is normally incident on a polarizer that rotates with
angular frequency w. (The axis of rotation is parallel to the direction of light propagation. )
a)
Write down t
ECE 460
Homework 1
Due in class on September 11, 20121
1.
Prove all the Fourier transform properties discussed in class:
a) Shift theorem
b) Parsevals theorem
c) Similarity theorem
d) Convolution theorem
e) Correlation theorem
f) If F is the Fourier trans
All Nobel Laureates in Physics
Page 1 of 4
All Nobel Laureates in Physics
The Nobel Prize in Physics has been awarded to 183 individuals since 1901. (John
Bardeen was awarded the prize in both 1956 and 1972.) Click on a name to go to the
Laureate's page.
Aberration Theory
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer Engineeri
Chapter 1 Math Toolbox
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer Engi
ECE 460
Fall 2012
Homework 3
Due in class on September 25, 2010
1.
2.
3.
4.
5.
6.
7.
Problem 1.2-7 from the Book by Saleh
Problem 1.2-8
Problem 1.2-9
Problem 1.2-10
Find the principle planes of the ball lens in Problem 5 (both in air and water)
Problem 1.
7.1. Low-Coherence Interferometry (LCI)
Let us consider a typical Michelson interferometer, where a broadband source is used for illumination (Fig. 1a).
The light is split by the beam splitter (BS) and directed toward two mirrors, M1 and M2, which reflect
Chapter3 GeometricalOptics
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer
4. STATISTICAL PROPERTIES OF OPTICAL FIELDS
All optical fields encountered in practice fluctuate randomly in both time and space and are, therefore, subject to a statistical
description. These field fluctuations depend on both the emission process (primar
THE WAVE EQUATION
5.1. Solution to the wave equation in Cartesian coordinates
Recall the Helmholtz equation for a scalar field U in rectangular coordinates
2U r, 2 (r, )U r, 0,
(5.1)
Where is the wavenumber, defined as
2 r, 2 r, i r,
n 2 r,
2
c2
(5.2
Chapter 9 Electro-Optics
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer En
Lab 1 Math Toolbox Report
Wei Cui
LAB 1. REVIEW OF LINEAR SYSTEMS AND SIGNAL ANALYSIS
FALL 2016 ONE WEEK LAB
Objective
To review the concepts of linear systems and signal analysis through Fourier transformation and filtering
PRELAB
1) Review the Chapter 1
Chapter 2 - Properties of Light
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Comp
Q5 4.2-3 Textbook
(a)
j x '2
j x 2
f ( x) exp( j x 2 / d ) f ( x ') exp(
) exp( j 2 vx x ')dx ' exp(
)
d
d
j ( x x ') 2
f ( x ') exp(
)dx ' f ( x) exp( j x 2 / d )
d
(b)
Let f ( x ) be the image before lens and g ( x) be the image after lens.
j x 2
ECE 460
Fall 2012
Homework 5
Due in class on Tuesday Nov 6, 2012
1.
2.
3.
4.
Problem 11.1-4
Problem 11.1-8
Problem 11.2-1
An extended source of area 1 cm2 emits light with mean frequency w=105 rad/s. Design an
optical setup that will filter the field and
Homework 6
Due in class on Nov. 29, 2012
1. A bright field microscope (NA=0.65 objective, 60X total magnification) is used to image a
square profile amplitude grating of period d, i.e. the transmission t(x)=0 or 1, for the white
and dark regions, respecti
Fall 2012
ECE 460
Homework 7
Due in class on Tuesday Dec. 6, 2012
1.
2.
3.
4.
5.
Problem 6.1-5
Problem 6.1-6
Problem 6.1-8
Problem 6.1-9
Problem 6.1-10
http:/light.ece.uiuc.edu/ECE460/
Linear and Rotational Motion
Quantity
Symbol
Unit
Quantity
Symbol
Unit
Mass
m
kg
Moment of Inertia
J
kg.m2
Linear displacement
x
m
Angular displacement
radian
Velocity
v
m/s
Velocity
radian/s
Acceleration
a
m/s2
Acceleration
radian/s2
Force
F
N=kg.m/s2
To
Chapter 1 Math Toolbox
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer Engi
LAB 1. REVIEW OF LINEAR SYSTEMS AND SIGNAL ANALYSIS
FALL 2016 ONE WEEK LAB
Objective
To review the concepts of linear systems and signal analysis through Fourier transformation and
filtering
PRELAB
1) Review the Chapter 1 web-notes that pertain to linear
ECE 460 OPTICAL IMAGING
FALL 2010
LAB REPORT GUIDELINES
Your TA will give you instructions about how and where to submit lab reports.
Grading for Lab Reports
Lab Reports are due one week after the lab has concluded (2 weeks for a 2week lab). One-week lab
Chapter4 Microscopy
GabrielPopescu
UniversityofIllinoisatUrbanaChampaign
y
p g
BeckmanInstitute
QuantitativeLightImagingLaboratory
Quantitative
Light Imaging Laboratory
http:/light.ece.uiuc.edu
Principles of Optical Imaging
Electrical and Computer Enginee