Advanced Optics I -- PHYC 463, Fall 2018

Advanced Optics

Syllabus

Projects

Groups

Test Solution (updated 11/7)

Lecture 1

Introduction to Optics 

Slides to Introduction to Optics

Lecture 2-3

Driving term of Maxwell's propagation equation

Wave overview

Basics

Oscillator model

Maxwell's equations

About Drude

Thursday August 30

Review of one dimensional waves (Chapter 4 of Pedrotti, Chapter 2 of Hecht)
Superposition of waves (Chapter 5 of Pedrotti)
Other topic: link between conservation of energy and phases (not covered in any textbook)

phase_and_energy

Tuesday September 04

Interface phase shifts - updated!
Project groups (see top of page for group/project assignments)

Pedrotti (1st edition) - Ch 14 & 22 --- 3rd edition: Fresnel equations, chapter 23, pg 491

Thursday September 06

Molecular models of epsilon (lorentz, drude, metallic reflection/refraction)

Hecht (4th edition) - Ch 3 & 4
Pedrotti (1st edition) - Ch 23, & 25 -- 3rd edition: chapter 23, Chapter 25, page 535.
Born and Wolf (7th edition) - Ch 2 & 14

Tuesday September 11

Geometrical Optics (Fermat's principle, Law of reflection/refraction)

Hecht (4th edition) - Ch 3 & 4
Pedrotti (1st edition) - Ch 3
Born and Wolf (7th edition) - Ch 3, Appendix 1 for calculus of variations (also in any math physics textbook)

Finding the minimum path (Calculus of variations)

Mark Levi Snell's law derivation summary (3blue1brown)

Thursday September 13

E&M (wave optics, polarization, boundary conditions)
Fresnel Equations (Brewster's angle, TIR, Evanescent wave)

Hecht (4th edition) - Ch 3 & 4
Pedrotti (1st edition) - Ch 11, 17 (Jones Vectors), 23
Born and Wolf (7th edition) - Ch 1
A lot of this is covered in Griffiths E&M textbook 

On the nature of the evanescent wave

Geometric Optics

Pedrotti, 3rd edition, Chapter 3

Spherical, parabolic mirrors

Prisms, spheres, Glory, Halo and rainbow

Prism minimum deviation

Reading: Shear Collimator -- Summary -- more details

"White cell"

Heriott

Ray Matrices
Matrix methods in paraxial optics (Pedrotti 3rd edition Chapter18 page 396)

Aberrations (Pedrotti Chapter 20page 438).

 

Gaussian Beams

Pedrotti, 3rd edition Chapter 27, page 582

Kogelnik Applied Optics 1966

Gaussian beam notations

Gaussian Modes: a particular solution of more general ellipsoid/hyperbolic surfaces

Why use Gaussian modes?

Group velocities

Beam propagaton and pulse dispersion

Time-space analogy, Gaussian parameters and matrices

Chirped pulse amplification:  Damm-Wilhelmi January 1985

Chirped pulse amplification: Strickland-Mourou December 1985

Imaging in time

q and p parameters

DIFFRACTION

Fraunhofer

INTERFEROMETERS

Etalon

Fabry-Perot etalon and interferometers

Gratings

Gratings and Talbot

 

 

 

Homeworks

Homework 1: Space
solution

Homework 2: Electron gas
Homework 3: Plasma
solution

Homework 4: Refraction-reflection
solution

Homework 5: Rhomb 
solution

Homework 6: Matrix problem
solution

Homework 7: Gaussian beam problems
solution

Homesork 8: Fraunhofer diffraction   
solution

Homework 9: Interferometer and grating
solution