# Syllabus Physics 45200 Fall 2020

SYLLABUS PHYS 45200: ADVANCED OPTICS 2020
Instructor: Professor R.R. Alfano
Class Section: T Th 11:00 AM – 12:15 PM (Online)
Required Text: Introduction to Modern Optics by G. Fowles (Publisher: Dover),2nd ed.
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
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 (𝜔 𝑘 𝑎𝑛𝑑 𝑛(𝜆)
Group and phase velocity
Self-phase modulation and SC, SHG, parametric three waves
Topic 3: Poynting Vector, 𝑆
𝐸, 𝐵, 𝑘, 𝑆 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