## Advanced Optics

#### Lecture 1

Slides to Introduction to Optics

#### Lecture 2-3

Driving term of Maxwell's propagation equation

**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)

**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

Prisms, spheres, Glory, Halo and rainbow

Reading: Shear Collimator -- Summary -- more details

**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**

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

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

**DIFFRACTION**

**INTERFEROMETERS**

Fabry-Perot etalon and interferometers

## Homeworks

Homework 2: Electron gas

Homework 3: Plasma

solution

Homework 4: Refraction-reflection

solution

Homework 6: Matrix problem

solution

Homework 7: Gaussian beam problems

solution

Homesork 8: Fraunhofer diffraction

solution

Homework 9: Interferometer and grating

solution