Mathematical Methods for Optics and Photonics

  • Course Type: Graduate Course, Undergraduate Course
  • Semester Offered: Spring
Course Number: 
OPTI 403A/503A
Course Number: 
OPTI 503A/403A
Units: 
3
Distance Course: 
Yes
Course Description: 
This course covers the basic mathematics needed for an in-depth understanding of the science and technology of fiber optical communication systems. Every mathematical tool/technique developed in this course will first be motivated by the relevant application. The students are not expected to have a broad-based prior knowledge of the topics covered in this course, but they should generally be familiar with the basics of algebra, Euclidean geometry, trigonometry, integral and differential calculus, simple differential equations, and the rudiments of complex number analysis. The course will cover complex analysis, Fourier transform theory, method of stationary phase (in the context of optical diffraction), vector algebra, linear algebra, ordinary and partial differential equations (e.g., Maxwell's electrodynamics, wave equation, diffusion equation), special functions (e.g., Bessel functions needed to study the guided modes of optical fibers), and probability theory (needed for understanding various sources of noise in communication systems, photodetection theory, digital communication via noisy channels, information theory, etc.).
Prerequisite(s): 
familiarity with basic calculus, Euclidean geometry, algebra, trigonometry and the complex number system; MATH 322
Instructor(s): 
Masud Mansuripur
Contact: 
Course Syllabus: 
Academic Integrity

According to the Arizona Code of Academic Integrity, “Integrity is expected of every student in all academic work. The guiding principle of academic integrity is that a student’s submitted work must be the student’s own.” Unless otherwise noted by the instructor, work for all assignments in this course must be conducted independently by each student. Co-authored work of any kind is unacceptable. Misappropriation of exams before or after they are given will be considered academics misconduct.

Misconduct of any kind will be prosecuted and may result in any or all of the following:

  • Reduction of grade
  • Failing grade
  • Referral to the Dean of Students for consideration of additional penalty, i.e., notation on a student’s transcript re: academic integrity violation, etc.
Students with Learning Disabilities

If a student is registered with the Disability Resource Center, he/she must submit appropriate documentation to the instructor if he/she is requesting reasonable accommodations.

The information contained in this syllabus may be subject to change with reasonable advance notice, as deemed appropriate by the instructor.