Title :
Fractionalization of the curl operator and its electromagnetic application
Author_Institution :
Moore Sch. of Electr. Eng., Pennsylvania Univ., Philadelphia, PA, USA
Abstract :
The author shows that the fractional curl operator can have interesting application in extending the principle of duality in electromagnetism to "fractional" duality. Physical principles behind this novel concept of fractional duality are discussed, and it is shown how an electromagnetic problem can be "continuously" evolved into its dual problem using the mathematical tool of fractional curl operator.
Keywords :
calculus; electromagnetism; mathematical operators; curl operator; electromagnetic application; electromagnetism; fractional duality; fractionalization; Fourier transforms; Fractional calculus; Laplace equations; Mathematics; Tin;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1997. IEEE., 1997 Digest
Conference_Location :
Montreal, Quebec, Canada
Print_ISBN :
0-7803-4178-3
DOI :
10.1109/APS.1997.631878