Courses

nanoHUB-U: Nanophotonic Modeling, 2nd Edition

A free self-paced course exploring the next generation of optical and opto-electronic systems.

nanoHUB-U

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Scientific Overview

(non-YouTube version)

Course Objectives

This engineering course is an introduction to photonic materials and devices structured on the wavelength scale.  Generally, these systems will be characterized as having critical dimensions at the nanometer scale.  These can include nanophotonic, plasmonic, and metamaterials components and systems. 

This course may be useful for advanced undergraduates with the prerequisites listed for this course;  graduate students interested in incorporating these techniques into their thesis research; and practicing scientists and engineers developing new experiments or products based on these ideas. 

Who Should Take the Course

Anyone seeking an understanding of optical and opto-electronic systems structured at the wavelength scale. Generally these systems will be characterized as having critical dimensions at the nanometer scale. These can include nanophotonic, plasmonic, and metamaterial components and systems. This course may be useful for advanced undergraduates with the prerequisites listed below; graduate students interested in incorporating these techniques into their thesis research; and practicing scientists and engineers developing new experiments or products based on these ideas.

Prerequisites

This course is intended for audiences with  a background in the physical sciences or engineering. Basic familiarity with the principles of Maxwell’s equations, covered in a first year class on physics is needed. Some working knowledge of integral and vector calculus, as well as basic linear algebra, is assumed. Prior experience with basic programming techniques and algorithms is useful but not strictly required; pointers to web-based resources covering these background topics will be available.

Course Outline

Module 1: Photonic bandstructures

How to determine the relationship between photon frequency and momentum in periodic structures; the origins of photonic bandgaps; and basic applications. 

Module 2: Transfer matrices

Development of a set of techniques for rapidly calculating performance of multi-layer optical structures, in ray or wave optics approximations, with or without periodicity.  Some applications will be discussed.

Module 3: Time-domain simulations

Introduction to direct simulation of Maxwell's equations across time and space;  use of the Yee lattice and the leapfrog integration method; plus advanced applications.

Module 4: Finite-element methods

Discussion of the advantage of finite element methods versus finite-difference;  development of the Galerkin method; application examples for multi-scale problems.

Course Resources

  • A free nanoHUB.org account is required to access some course components.
  • Homework exercises with solutions.
  • Online quizzes to quickly assess understanding of material after most video lectures.
  • An online forum, hosted by nanoHUB. Students enrolled in the course will be able to interact with one another.
  • Practice exams for each module.

Licensing

Attribution-NonCommercial-NoDerivs  CC BY-NC-ND

Registration

This self-paced course is available at no cost.

nanoHUB-U is powered by nanoHUB.org, the home for computational nanoscience and nanotechnology research, education, and collaboration.

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