To estimate the electromagnetic fields anywhere along a rectangular or circular waveguide, analytical solutions for Maxwell's equations are already available. In this paper analytical solutions for Maxwell's equations are presented for fields along three-dimensional prismatic regions with travelling or standing waves. The solution of the Laplace equation, for prismatic regions with scalar potential field, is also given.
GuruB. H. and HizirogluH. R., Electromagnetic Field Theory Fundamentals (PWS, Boston, Massachusetts, 1998), pp. 433–472.
2.
KrausJ. D. and FleischD. A., Electromagnetics with Applications, 5th edn (McGraw-Hill International Editions, New York, 1999), pp. 456–472, 491–498.
3.
ChengD. K., Field and Wave Electromagnetics, 2nd edn (Addison-Wesley, New York, 1989), pp. 562–572, 582–592.
4.
ChuL. J., ‘Electromagnetic waves in hollow elliptic pipes of metal’, J. Appl. Phys., 9 (1938).
5.
GuruB. H. and HizirogluH. R., Electromagnetic Field Theory Fundamentals511–535 (PWS, Boston, Massachusetts1998).
6.
KrausJ. D. and FleischD. A., Electromagnetics with Applications, 5th edn (McGraw-Hill International Editions, New York, 1999) pp. 552–557.
7.
MukerjiS. K. and GoelS. K., ‘Electromagnetic fields in isosceles right-angled triangular regions’, in Proc. 19th Int. Conf. on CAD/CAM, Robotics and Factories of the Future, CARS & FOF 2003, Kuala Lumpur, Malaysia (SIRIM, Kuala Lumpur, 2003), Vol. 2, pp. 615–619.