Derivation of the finite element energy functional for waveguides
A practical approach to introducing variational finite elements to advanced microwave courses in electromagnetics is described. Using standard electromagnetic theory such as complex power flow and waveguide analysis an energy functional, based on the conservation of energy, is derived by applying the divergence theorem to the complex power flow equation.
Get full access to this article
View all access options for this article.
References
1.
RatnajeevanH. and HooleS., Computer-Aided Analysis and Design of Electromagnetic Devices, Elsevier Science Publishing Co., Inc. (1989)
2.
SilvesterP. P. and FerrariR. L., Finite Elements for Electrical Engineers, 2nd edition Cambridge University Press (1990)
3.
BerkA. D., ‘Variational principles for electromagnetic resonators and waveguides’, IRE Trans. Antennas and Propagation, AP-4, pp. 104–111 (Apr.1956)
4.
MorseP. M. and FeshbachH., Methods of Theoretical Physics, Part 1, McGraw-Hill (1953)
5.
WexlerA., ‘Computation of Electromagnetic Fields’, IEEE Trans, on Microwave Theory and Techniques, MTT-17, No. 8, pp. 416–439 (Aug.1969)
6.
KrausJ. D., Electromagnetics, McGraw-Hill (1988)
7.
SilvesterP., ‘Finite element solution of homogeneous waveguide problems’, URSI Symposium on Electromagnetic Waves, Paper 115 (1968)
8.
HelszajnJ., Ferrite Phase Shifters and Control Devices, McGraw-Hill, Chapter 23 (1989)
9.
GibsonA. A. P., ‘Finite element formulations using reactive power flow’, Vol. 17th International Conf. on Antennas and Propagation (Apr.1991)
