# Syllabus Fall 2019 Physics 45200

SYLLABUS PHYS 45200: ADVANCED OPTICS FALL 2019

Instructor:                   Professor R.R. Alfano

Class Section:              T Th 11:00 AM – 12:15 PM

Office Hours:             T Th 3:00 – 4:00 PM

Required Text:            Introduction to Modern Optics by G. Fowles (Publisher: Dover)2nd Edition

Optional Text:             Nonlinear Optics, Geoffrey New (Publisher: Cambridge, Abe Books)

Prerequisites:               Phys 20700, 20800

Exams:                        Test on major topics (announced)

Midterm (paper problem or test)

Final Exam, 2.5 hours

Midterm or paper        10%

Test                             30%

Final Exam                  30%

TOPICS

August 27th, 2019 – December 12th, 2019, Final Dec. 17th or later

Topic 1: first day                     Basic Vectors Analysis and Electromagnetism (E&M)

Second day                 Introduction to Singular Optics and tour (OMA and SC)

Topic 2: third              Overview of optics

Basic Equations

E&M waves and pulses

Spectrum – color – x-ray to THz

E&M pulse shapes and relationships

Key equations in optics

fourth              Maxwell Equations, Nonlinear wave Eqs

Wave equations, paraxial approximation

Spectral width and pulse duration relation for different pulses shapes

Rect., gaussian, exp.

Dispersion curves (

Group and phase velocity

Self-phase modulation and SC, SHG, parametric three waves

Topic 3:                       Poynting Vector,

relationship

Polarization states

Algebra and matrix forms of polarized E&M waves

Jones matrix for optical elements and beams

Optical vortex beam

Topic4:                        Reflection from dielectric for polarized beam

Fresnel equations amplitude and phase

Phase and amplitude vs. angle of incidence

Multi-beam reflection

Etalons, time delay

Topic 5:                       Coherence (space and temporal)

Topic 6:                       Interference

Topic 7:                       Diffraction

Fraunhofer

Fresnel

Topic 8:                       Crystal optics (e and o waves)

Optics of condensed matter