PHYS 953 Quantum and Nonlinear Optics
Class files including lecture notes, tutorials and miniprojects can be found here.
PHYS 870 – Non-linear and Quantum Optics - Fall 2010
Lecture: T/U, 1:05-2:20 p.m. CW 145
Textbooks: Nonlinear Optics, Boyd; Introductory Quantum Optics, Gerry and Knight;
Suggested References: Introduction to Quantum Optics, From Light Quanta to Quantum Teleportation, Paul; The Quantum Challenge, Greenstein and Zajonc; Quantum Optics, Walls and Milburn; Coherence and Quantum Optics, Mandel and Wolf; Nonlinear Optics, Shen; Nonlinear Fiber Optics, Agrawal; Handbook of Nonlinear Optics, Sutherland; Handbook of Nonlinear Optical Crystals, Dmitriev, Gurzadyan, and Nikogosyan; Electromagnetic Noise and Quantum Optical Measurements, Haus;
Instructor: Dr. Brian R. Washburn, CW 36B, (785) 532-2263, washburn@phys.ksu.edu. Office hours: M/W/F 9:30-10:30 PM or by appt.
Prerequisites: A solid foundation in undergraduate-level quantum mechanics, electromagnetism, and optics.
Course Objective: The purpose of this course is to provide an introduction to the field of nonlinear optics, exploring the physical mechanisms, applications, and experimental techniques. Furthermore the fundamentals of quantum optics will be taught in the second half in this course. Connections between quantum and nonlinear optics will be highlighted throughout the semester. My goal is for students to end up with a working knowledge of nonlinear optics and a conceptual understanding of the foundations of quantum optics.
Grading:
Exam 1 |
150 pts |
300 pts |
Exam 2 |
150 pts |
|
Mini-Projects |
500 pts |
|
Final Project |
200 pts |
|
Total possible |
1000 pts |
Exams: There will be two exams during the semester. The format will be a take-home exam to be completed over 24 hours.
Mini-Projects: Problems in nonlinear and quantum optics are quite involved, so traditional homework assignments will not properly teach the material. So, the homework for this course will be in the form of mini-projects. The mini-projects will be a detailed solution of interconnected problems related to lecture topics. The problems will need to be solved using resources beyond the textbook and class notes. The purpose of the mini-projects is to mimic problem-solving scenarios found in a research environment.
There will be between 5-7 mini-projects, each given with two or more weeks for completion. Working on the mini-projects in groups is strongly encouraged, but you will need to write up the assignment on your own.
Final Project: There will be a final project for the class but no final exam. The final project will be an investigation of a topic or problem in the areas of nonlinear and quantum optics, that will involve a literature search and some original work. The final project will consist of three parts:
Part 1: Abstract and bibliography
Part 2: 6 page paper plus references
Part 3: 15 minute presentation
Late Projects: No project will be accepted after its due date unless prior arrangements have been made. Please inform me with possible conflicts before the due date, and other arrangements will be made.
Class Material: Extra class materials are posted on K‑state Online, including papers and tutorials.
Disabilities: If you have any condition such as a physical or learning disability, which will make it difficult for you to carry out the work as I have outlined it or which will require academic accommodations, please notify me and contact the Disabled Students Office (Holton 202), in the first two weeks of the course.
Plagiarism: Plagiarism and cheating are serious offenses and may be punished by failure on the exam, paper or project; failure in the course; and/or expulsion from the University. For more information refer to the “Academic Dishonesty” policy in K-State Undergraduate Catalog and the Undergraduate Honor System Policy on the Provost’s web page: http://www.ksu.edu/honor/.
Copyright: This syllabus and all lectures copyright September 2010 by Brian R. Washburn.
Tentative Course Schedule, Nonlinear and Quantum Optics, PHYS 953, Fall 2010
Date |
Topic |
Chapters |
Projects |
Aug. 24 (T) |
Class overview: review of linear optics and the semi-classical treatment of light Review of material dispersion and absorption |
|
|
Aug. 26 (U) |
Introduction to nonlinear optics: the nonlinear susceptibility ―Formal definitions ―Nonlinear optics and mechanics: analogy to anharmonic motion |
B1 |
|
Aug. 31 (T) |
The Maxwell’s wave equation in a nonlinear medium Symmetry and nonlinear optical properties |
B1 |
|
Sept. 1 (U) |
Second order nonlinear effects ―Coupled equations: Sum frequency and second harmonic generation ―Phase matching in second harmonic crystals |
B2 |
MP1 Due |
Sept. 7 (T) |
Second harmonic generation with ultrashort pulses ―Phasematching and bandwidth issues |
B2 |
|
Sept. 9 (U) |
Difference and sum frequency generation ―Parametric amplification in crystals, optical parametric oscillators |
B2 |
|
Sept. 14 (T) |
No Class (need to make this day up) |
|
|
Sept. 16 (U) |
No Class (need to make this day up) |
|
|
Sept. 21 (T) |
Applications for second harmonic generation ―Ultrashort pulse measurements |
B2 |
|
Sept. 23 (U) |
Applications for second harmonic generation ―Carrier-envelope phase measurement: the f-to-2f interferometer |
|
MP2 Due |
Sept. 28 (T) |
Catch up day! |
|
|
Sept. 30 (U) |
Third order nonlinear effects: Intensity dependent refractive index; four-wave mixing Nonlinear fiber optics: fiber parametric oscillators |
B4, B13 |
|
Oct. 5 (T) |
More nonlinear fiber optics ―Pulse propagation in a third order nonlinear medium, soliton generation |
B4, B13 Exam 1 |
|
Oct 6 (W) |
Exam 1 Due |
|
|
Oct. 7 (U) |
Spontaneous and stimulated Raman scattering ―Spontaneous Raman scattering ―Stimulated Raman scattering in third order media |
B4 |
|
Oct. 12 (T) |
More on stimulated Raman scattering: CARS spectroscopy |
B9 |
|
Oct. 14 (U) |
Third order effects in gases: applications for short pulse generation |
B9 |
MP3 Due |
Oct. 19 (T) |
High field processes: higher harmonic generation |
B13 |
|
Oct. 21 (U) |
Introduction to quantum optics: What is a photon? ―The photoelectric effect ―The Hanbury-Brown and Twiss experiment |
G1 |
|
Oct. 26 (T) |
No Class (need to make this day up) |
|
|
Oct. 28 (U) |
What is a photon? ―The photoelectric effect revisited: Lamb and Scully ―The Aspect experiments |
G1 |
|
Nov. 2 (T) |
What is a photon? ―Wheeler’s delayed choice experiment ―Quantum beat experiments |
G2 |
|
Nov. 4 (U) |
Field quantization and coherent states |
G2 |
|
Nov. 9 (T) |
More on coherent states |
G2,G3 |
MP4 Due |
Nov. 11 (U) |
Interferometry with a single photon |
G2,G3 |
|
Nov. 16 (T) |
Bell’s theorem and quantum entanglement ―EPR Paradox and Bell’s Theorem |
G9 Exam 2 |
|
Nov. 17 (W) |
Exam 2 Due |
Final project part 1 due |
|
Nov. 18 (U) |
Optical tests of EPR: violations of the Bell’s inequality |
G9 |
|
Nov. 23 (T) |
Thanksgiving Break |
|
|
Nov. 25 (U) |
Thanksgiving Break |
|
|
Nov. 30 (T) |
Nonclassical light: squeezed states |
G9 |
|
Dec. 2 (U) |
Optical tests of quantum mechanics |
G9 |
MP5 Due |
Dec. 7 (T) |
Catch up day! |
Final project part 2 due |
|
Dec. 9 (U) |
Final Project Presentations |
Final project part 3 due |
|
Dec. 14 (T) |
Final Project Presentations: Exam Period 2:00 PM – 3:50 PM |
|
|
Books: B= Boyd, Nonlinear Optics, G= Gerry and Knight, Introductory Quantum Optics;