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July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-1
ECEG105/ECEU646 Optics for Engine6ers
Course NotesPart 1: Introduction
Prof. Charles A. DiMarzio
Northeastern University
Fall 2008
Sep 2008
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-2
Lecture 1 Overview
• Administrivia– Course Layout– Grading– Syllabus
• Introduction– Why Optics?– A bit of history– Our Approach
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-3
Why Optics?Absorption Spectrum of the Atmosphere
Absorption Spectrum ofLiquid Water
Index of Refraction
1nm 1m1m 1mm 1m 1km
1nm1m1m1km 1mm
from Jackson
Sep 2008
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-4
Earthlight
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-5
A Bit of History
1900180017001600 200010000-1000
“...and the foot of it of brass, of the lookingglasses of the women assembling,” (Exodus 38:8)
Rectilinear Propagation(Euclid)
Shortest Path (Almost Right!)(Hero of Alexandria)
Plane of IncidenceCurved Mirrors(Al Hazen)
Empirical Law of Refraction (Snell)
Light as PressureWave (Descartes)
Law of LeastTime (Fermat)
v<c, & Two Kinds of Light (Huygens)
Corpuscles, Ether (Newton)
Wave Theory (Longitudinal) (Fresnel)
Transverse Wave, Polarization Interference (Young)
Light & Magnetism (Faraday)
EM Theory (Maxwell)
Rejectionof Ether, Early QM (Poincare, Einstein)
Sep 2008 http://www.sff.net/people/Jeff.Hecht/chron.html http://members.aol.com/WSRNet/D1/hist.htm
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-6
More Recent History
2000199019801970196019501940193019201910
Laser(Maiman)
Quantum Mechanics
Optical Fiber(Lamm)
SM Fiber(Hicks)
HeNe(Javan)
http://www.sff.net/people/Jeff.Hecht/chron.html
Polaroid Sheets (Land) Phase Contrast (Zernicke)
Holography (Gabor)
Optical Maser(Schalow, Townes)
GaAs(4 Groups)
CO2
(Patel)
FEL(Madey)
Hubble Telescope
http://members.aol.com/WSRNet/D1/hist.htm
Speed/Light (Michaelson)
Spont. Emission (Einstein)
Many New Lasers
Erbium Fiber Amp
Commercial Fiber Link (Chicago)
Sep 2008
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-7
The First Laser?
Malibu, 1960
The First Laser
News Photo of the First Laser
?
"Laser, inter eximia naturae dona numeratum plurimis compositionibus inseritur*" "The laser is numbered among the most miraculous gifts of nature and lends itself to a variety of applications." Pliny, Natural History XXII, 49
Jan 2005
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-8
Some Everyday Applications
• Illumination
• Signaling
• Cameras; Film and Electronic
• Bar-Code Reader
• Surveying and Rangefinding
• Microscopy
• Astronomy
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-9
My Research Interests
• Biological and Medical Imaging– Multi-Modal Microscopy
– Acousto-Photonic Imaging (DOT and Ultrasound)
– Optical Quadrature Microscopy
• Landmine Detection– Laser-Induced Acoustic Mine Detection
– Microwave-Enhanced Infrared Thermography
• Environmental Sensing– Optical Magnetic Field Sensor
– Underwater Imaging with a Laser Line Scanner
– Hyperspectral Imaging Laboratory Experiments
Jul 2007
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-10
Some Other Applications (1)
• Communication– Lasers and Fast Modulation
– Fibers for Propagation
– Fast Detectors
– Dense Wavelength Diversity Multiplexing
– Free-Space Propagation (Not Much)
• Optical Disk Memory– Lasers, Detectors
– Diffraction Limited Optics
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-11
Some Other Applications (2)
• Photo Lithography for Integrated Circuits
– Short Wavelength Sources
– Diffraction Limited Optics
• Adaptive Optical Imaging
– Non-Linear Materials or Mechanical Actuators
• Velocimetry and Vibrometry
– Coherent Detection, Coherent Sources
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-12
Some Other Applications (3)
• Hyperspectral Imaging– Dispersive Elements– Large Detector Arrays– Fast Processing
• Medical Treatment– Delivery– Dosimetry
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-13
Some Recent Advances
• Laser Tweezers
• Optical Cooling
• Squeezed States
• Entangled-States
• Fiber-Based Sensors
• Optical Micro-Electro-Mechanical Systems
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-14
Some Everyday Concepts (1)
• Specular and Diffuse Reflection
• Refraction and Transmission
Specular Diffuse Retro
Dec 2004
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-15
Example InteractionsSlab Transmission Slab Absorption and
Scattering
Mostly DiffuseReflection
Specular with some Diffuse Reflection
Dec 2004
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-16
Some Everyday Concepts (2)
• Imaging
WavefrontsRays
The Observer The Observer
Object Image
Object Image
Sep 2007
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-17
Imaging
Jul 2007
Sep 2007
Near Card Demonstrates Camera is Focused Closer than Lens
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-18
High-School Optics
F
F’
Object
Image
Stopped Here 4 Jan 05
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-19
Our Approach
• Maxwell’s Equations
• Wave Equation
• Scalar Wave Equation
• Geometric Optics
• Polarization
• Interference
• Diffraction
• Radiometry
stopped 12 Sep 03
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-20
Maxwell’s Equations
Jul 2007
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-21
Maxwell’s Equations
• Source-Free Region
– No or J• Isotropic Medium
– E Parallel to D
• Harmonic Functions
– No Nonlinear Effects
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-22
Getting to the Wave Equation
H B
ED
Almost everything interesting is here
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-23
The Goodies are in Epsilon
H B
ED
H B
ED
More on this later in the course.
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-24
The General Problem• Goals
– Solve Maxwell’s Equations
– Satisfy Boundary Conditions
• Approaches– Special Cases (eg. Plane, Spherical, etc.)
– Approximations• Circuit Theory (>>D)
• Wave Theory ( D)
• Geometric Optics (<<D)
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-25
Steps to Geometric Optics
• Maxwell’s Equations
• Vector Wave Equation
• Scalar Wave Equation
• General Wave Solution
• Eikonel Equation (zero-wavelength approximation)
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-26
Vector Wave Equation
Jan 2005
H B
ED
Sep 2007
1
2
3
4
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-27
Scalar Wave Equation
H B
ED
Linear, Isotropic Medium
1
2
3
4
(Two States of Polarization)
Sep 2007
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-28
Eikonel Equation (1)
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-29
Eikonel Equation (2)
0 2
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-30
Eikonel Equation (3)
• L(r)=Constant Defines Wavefronts
– Thus, Wavefronts Are Perpendicular to Rays
• Define Optical Path Length
– Compare Travel Time to Light in Vacuum
n1 n2 n3n5n4
ΔL=∑ ni ℓi
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-31
Plane Waves
Scalar Wave Equation
General Solution
Plane-Wave Solution E=E0ei n k⋅r−ωt
Plane-Wave in z Direction E=E0ei nkz−ωt
Dec 2004
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-32
Optical Path Concept
• Not to Be Confused with Image Location
Physical DistanceImage Distance
OPL
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-33
Fermat’s Principle
• Where Does Ray Go?– Minimize Optical Path
• Imaging:– Many Minimal Paths
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-34Jan 2005
July 2003+ © Chuck DiMarzio, Northeastern University 11270-01a-35Dec 2004 Stopped Here Thu 6 Jan 05