Improvements in the accuracy, computational cost, and reliability of computational techniques for high-frequency electromagnetics (including antennas, microwave devices and radar scattering applications) can be achieved through the use of 'high-order' techniques. This book outlines these techniques by presenting high-order basis functions, explaining their use, and illustrating their performance. The specific basis functions under consideration were developed by the authors, and include scalar and vector functions for use with equations such as the vector Helmholtz equation and the electric field integral equation.

Computational electromagnetics is an active research area concerned with the development and implementation of numerical methods and techniques for rigorous solutions to physical problems across the entire spectrum of electromagnetic waves - from radio frequencies to gamma rays. Numerical methods and techniques developed and implemented in this area are now used every day to solve complex problems in diverse application areas, including but not limited to antennas, telecommunications, biomedical imaging, sensing, energy harvesting, nanotechnology, and optics. The purpose of this book is to provide a broad overview of the recent efforts in computational electromagnetics to develop and implement more robust, stable, accurate, and efficient algorithms.