Some vector expansion functions for quadrilateral and triangular domains

✍ Scribed by E. E. Okon

• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 364 KB
• Volume: 18
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620180508

✦ Synopsis

Abstract

Vector functions having a constant or zero divergence over a quadrilateral domain are derived using a parametric co‐ordinate formulation. Expansion functions with a constant curl, defined over parallelograms and triangles, which can be used in moments‐based investigations of electromagnetic wave interactions with surfaces and apertures, are then obtained. Finally, two basis functions, which have appeared in the literature and have been used to solve field problems associated with rectangular apertures and arbitrary surfaces, are identified as special cases of these expansion functions.