The Yee Algorithm in One Dimension

doi:10.1117/3.2250614.ch9

Book: Computing the Flow of Light: Nonstandard FDTD Methodologies for Photonics Design

Author(s): James B. Cole, Saswatee Banerjee

Published: 2017

https://doi.org/10.1117/3.2250614.ch9

Author Affiliations +

Abstract

The Yee algorithm is one realization (others are possible) of the FDTD methodology to solve Maxwell’s equations based on second-order central finite differences. In this chapter we develop the Yee algorithm for a linear nondispersive medium. Following our strategy of stepwise increasing complexity, we develop the Yee algorithm in one dimension to avoid the distracting technical details that arise in two and three. Nonetheless, there are many ‘devils in the details.’