Instructor
Prof. Vitaly Gruzdev
Email: vgruzdev@unm.edu
Office: PAIS 2244
Phone: 505 2772616
Teaching Assistant
Hatem Babaa
Email: hbabaa@unm.edu
This class is a continuation from Advanced Optics I of the Fall Semester 2019. It covers three major sections: crystal optics; coherence; and Fourier optics.
The first section – crystal optics – is focused on optical response of dielectric and semiconductor crystals and covers the following topics: classical Lorentz oscillator model for ideal dielectric crystals; complex optical response; KramerKronig relations; dispersion if optical response; quantummechanical model of optical response; overview of absorption mechanisms; tensor of optical response of anisotropic crystals; strongfield and nonperturbative effects; magnetooptic effects; electrooptic effects; acoustooptic effect; and applications of those effects in devices.
The second section – coherence – covers temporal and spatial coherence; coherence function; interference of partially coherent light; transmission of partially coherent light through optical systems; image formation; and VanCittertZernike theorem.
The third section – Fourier optics – includes analysis of 2D signals and systems; foundations of scalar diffraction theory; waveoptics and frequency analysis of optical imaging systems; applications of Fourier optics in spatial filtering, holography, and analog processing of optical information.
The fourth section includes a selected special topic. Offered are basics of plasmonics, introduction to fiber optics, optical tweezers, and fundamentals of quantum optics.
Also, topics suggested by students will be under consideration for this section.
This class is calculus based. Complex algebra, Fourier transform, and series expansions are routinely utilized in the three major sections.
This class also includes an oral presentation.
PHYS 463: Advanced Optics I; Electromagnetics or Electricity and Magnetism; Calculus; Differential Equations; Linear Algebra; Complex Algebra; Matrixes; Grad Quantum Mechanics I.
Tuesdays and Thursdays; 5:30 pm – 6:45 pm
Instructor: Tuesday and Thursday; 7:00 pm – 8:00 pm. You may also arrange a meeting for another time depending of instructor availability.
TA: TBA
There are many useful textbooks on the topics of this class. For each of the 3 major topics of this semester, there are recommended 1 or 2 textbooks.
Topic 1: Crystal optics:
(P3) Frank L. Pedrotti, Leno M. Pedrotti, Leno S. Pedrotti, "Introduction to Optics", 3d edition.
(FOX) Mark Fox, “Optical Properties of Solids”, 2nd Ed., Oxford University Press, 2010.
Topic 2: Coherence:
(MF) Miles V. Klein, Thomas E. Furtak, “Optics”, 2nd or 3d Edition.
(GS) Joseph W. Goodman, “Statistical Optics”, 2nd Ed.
Topic 3: Fourier Optics:
(GF) Joseph W. Goodman, “Fourier Optics”, 2nd Ed.
Hartmut Haug, Stephan W. Koch, "Quantum Theory of the Optical and Electronic Properties of Semiconductors", 4th or later edition.
Jacques I. Pankove, “Optical Processes in Semiconductors”.
Max Born, Emil Wolf, "Principles of Optics", 6th or later edition.
Lev D. Landau, E. M. Lifshitz and L. P. Pitaevskii, “Electrodynamics of Continuous Media”, 2nd Edition or later (Pergamon Press, 1984).
There are planned 14 homework assignments this semester, approximately one assignment per week. Each assignment includes a few problems from the recommended textbooks and other sources. The assignments will be given throughout the semester a week before they are due. Homeworks must be turned in to instructor’s mailbox on the due date by 8:00 pm. If unable to turn in a hard copy, a PDF file with your homework can be emailed to instructor by 8:00 pm on the due date.
The final grade will be based on the homework assignments, midterm exam, oral presentation and report, and final exam. The contributions to the final grade are as follows:
Midterm: 03/12 (no makeup date).
Final exam: 05/12; makeup date: 05/14.
A formal report is focused on one of suggested topics related to fundamental concepts and/or applications. It can be your lab report or a part of your lab report if the report topic is acceptable for this class. The objective of this task is to master students’ writing skills and improve their style of technical/scientific writing. The report is prepared using LaTeX, which is a standard tool used in the scientific community in various areas including physics and engineering. The style should follow the format of a scientific paper from Physical Review, Optics Letters, or Applied Physics Letters. Length range is from 2 journal pages (minimum) to 4 journal pages (maximum). The report should be submitted to the instructor as a PDF file via email (subject “Formal Report”) by noon of Thursday, 05/07. The file name should include your last name in the style “Name_Report”. Formal reports and presentations are individual. Samples of journal styles and LaTeX/TeX templates will be provided by instructor via email.
The objective of this task is to improve the skills of public presentation on scientific and technical topics. You will deliver a presentation at the end of the semester on 05/07/20 on the topic of your Formal Report. Duration: 15 minutes of presentation + 5 minutes for questions/answers. It should cover fundamentals, relevant theoretical background, development/stateoftheart in the field, and applications in science and/or technology. Slides for the presentation can be run from either instructor’s laptop or your own laptop. Preferable formats, tips for slide preparation, and suggestions on presentation style will be shared later.
Syllabus Topics
Below is a tentative list of topics and subtopics that will be covered by this class.
1) Classical model of optical response of ideal dielectrics; dispersion; KramerKronig relations.
2) Classical model of absorption by free carriers in solids; optical response of semiconductors.
3) Tensor of optical response; birefringence; polarization rotation (chirality); anisotropic reflectivity.
4) Basics of quantum theory of crystals; overview of absorption mechanisms in crystals.
5) Quantum theory of linear absorption in nonmetal crystals; semiconductor Bloch equations.
6) Strongfield electron dynamics in crystals; laserdriven electron oscillations; nonperturbative approaches; the Keldysh photoionization formula.
7) Crystals in magnetic fields: Faraday effect; CottonMouton effect; Zeeman effect; Landau levels; magnetoabsorption.
8) Crystals in electric fields: Pockels effect; Kerr effect; Stark effect; Bloch oscillations; FranzKeldysh effect.
9) Acoustooptic effect; crystaloptic devices.
1) Temporal coherence; coherence function; contrast of interference pattern.
2) Statistical optics; autocorrelation function; coherence time and spectral bandwidth;
3) Spatial coherence; Van CittertZernike theorem; transverse coherence; longitudinal coherence.
4) Fluctuations; light as a stochastic process; correlation momenta; quantum analysis.
5) Transmission of partially coherent light through optical systems; optical transfer function.
1) Analysis of 2D signals and systems: 2D Fourier analysis; local spatial frequency.
2) Basics of scalar diffraction theory; FresnelKirchhoff & RayleighSommerfeld diffraction; angular spectrum of plane waves.
3) Fresnel and Fraunhofer diffraction.
4) Waveoptics analysis of coherent optical systems; Fourier transforming properties of lenses.
5) Frequency analysis of optical imaging systems; resolution beyond the classical limit.
6) Applications in spatial filtering: wavefront modulation, spatial light modulators.
7) Applications in analog optical information processing; discrete analog optical processors.
8) Applications in holography; image locations and magnification.
1) Basics of plasmonics.
2) Optical tweezers.
3) Introduction to guided wave optics (fiber optics).
4) Radiation pressure and ponderomotive force.
5) Other topics if proposed by students.
Topic 
Date 
Subject 
Reading 
Homework 
HW Due 
Solutions 
Crystal optics 
01/21 
Lorentz model of optical response 
P3; Ch. 25 




01/23 
Absorption by free carriers 
P3; Ch. 25 
HW1 
01/30 


01/28 
Tensor of optical response 





01/30 
Absorption mechanisms 
Pn; Ch. 1 
HW2 
02/06 


02/04 
Quantum theory of absorption 
Pn; h. 3 




02/06 
Strongfield electron dynamics 
Lecture 
HW3 
02/13 


02/11 
Crystals in magnetic fields 
HK 




02/13 
Crystals in electric fields 
HK 
HW4 
02/20 


02/18 
Acoustooptic effect 




Coherence 
02/20 
Temporal coherence 
KF; Ch. 8.1 
HW5 
02/27 


02/25 
Statistical optics 
KF; Ch. 8.2 




02/27 
Spatial coherence; 
KF; Ch. 8.3 
HW6 
03/05 


03/03 
Light as a stochastic process 
GSO; Ch. 




03/05 
Fluctuations of light 
KF; Ch. 8.4 
HW7 
03/12 


03/10 
Optical transfer function 
KF; Ch. 8.5 




03/12 
Midterm test 
Equation list 




03/17 
SPRING BREAK 





03/19 
SPRING BREAK 




Fourier optics 
03/24 
2D signals and systems 
GFO; Ch. 2 
HW 8 
03/31 


03/26 
Basics of scalar diffraction theory 
GFO; Ch. 3 




03/31 
Fresnel & Fraunhofer diffraction 
GFO; Ch. 4 
HW 9 
04/07 


04/02 
Waveoptics analysis 
GFO; Ch. 5 




04/07 
Frequency analysis 
GFO; Ch. 6 
HW 10 
04/14 


04/09 
Applications: spatial filtering 
GFO; Ch. 7 




04/14 
Applications: analog processing 
GFO; Ch. 8 
HW 11 
04/21 


04/16 
Applications: holography 
GFO; Ch. 9 



Selected topic 
04/21 
Selected topic lecture 1 

HW 12 
04/28 


04/23 
Selected topic lecture 2 





04/28 
Selected topic lecture 3 

HW 13 
05/05 


04/30 
Selected topic lecture 4 





05/05 
Selected topic lecture 5 





05/07 
Student presentations 





05/12 
Final exam 
Equation list 




05/14 
Makeup final exam 
Equation list 


