Keywords
boundary-value problems, calculus, electromagnetic field theory
Abstract
A new representation for electromagnetic boundary conditions involving a boundary projection operator defined using the interior and exterior products of the calculus of differential forms is developed. This operator expresses boundary conditions for fields represented by differential forms of arbitrary degree. With vector analysis, the field intensity boundary conditions require the cross product, whereas the flux boundary conditions use the inner product. With differential forms, the field intensity and flux density boundary conditions are expressed using a single operator. This boundary projection operator is readily applied in practice, so that this work extends the utility of the calculus of differential forms in applied electromagnetics.
Original Publication Citation
Warnick, K. F., R. H. Selfridge, and D. V. Arnold. "Electromagnetic Boundary Conditions and Differential Forms." Microwaves, Antennas and Propagation, IEE Proceedings - 142.4 (1995): 326-32
BYU ScholarsArchive Citation
Warnick, Karl F.; Selfridge, Richard H.; and Arnold, David V., "Electromagnetic boundary conditions and differential forms" (1995). Faculty Publications. 686.
https://scholarsarchive.byu.edu/facpub/686
Document Type
Peer-Reviewed Article
Publication Date
1995-08-01
Permanent URL
http://hdl.lib.byu.edu/1877/1046
Publisher
IEEE
Language
English
College
Ira A. Fulton College of Engineering and Technology
Department
Electrical and Computer Engineering
Copyright Status
© 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Copyright Use Information
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