Rahman was the first to develop vector-field
finite element method for optical waveguides and subsequently they have developed finite element based junction analysis method and the beam propagation method, which are numerically more efficient than most of the commercial packages, which are predominantly finite difference based.
3 allows for modeling and simulation in all science and engineering fields by including a set of solvers for parametric analysis, for modeling large vector-field
models in electromagnetics and structural mechanics, and for transport processes in chemical engineering.
Helman and Hesselink at Stanford University developed a visualization scheme for extracting separation surfaces based on the concepts of vector-field