Riemann-Silberstein Vectors: Streamlined Electromagnetics with Applications

The Riemann-Silberstein time domain vectors are shown to be solutions to each of the two first order factors that constitute the decomposed vector wave equation. The entire electromagnetic problem is then re-formulated in a simpler, compact form, at the cost of using complex time domain entities. Advantage is seen, e.g., in finite difference implementations that require fewer operations.