Fractional curl operator in radiation problems

M. V. Ivakhnychenko; E. I. Veliev

Fractional curl operator in radiation problems

M. V. Ivakhnychenko^*, E. I. Veliev

^*Corresponding author for this work

NASU - Institute of Radiophysics and Electronics

Research output: Contribution to conference › Paper › peer-review

16 Citations (Scopus)

Abstract

The fractional curl operator and its possible applications in electromagnetic problems are discussed. Specifically, we consider radiation from sheet and line current distributions. Applying fractionalized curl operator we obtain new "fractional" fields and corresponding "fractional" currents, and analyze their physical meanings. "Fractional" field can be considered as "intermediate" one between the original and dual fields. It can be treated as an extension of conventional duality principle. Expressions for the "fractional" fields and relation between "fractional" currents and the original currents are presented.

Original language	English
Pages	231-233
Number of pages	3
Publication status	Published - 2004
Externally published	Yes
Event	Conference Proceedings - 10th International Conference on Mathematical Methods in Electromagnetic Theory, MMET'04 - Dniepropetrovsk, Ukraine Duration: 14 Sept 2004 → 17 Sept 2004

Conference

Conference	Conference Proceedings - 10th International Conference on Mathematical Methods in Electromagnetic Theory, MMET'04
Country/Territory	Ukraine
City	Dniepropetrovsk
Period	14/09/04 → 17/09/04

Cite this

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year = "2004",

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T1 - Fractional curl operator in radiation problems

AU - Ivakhnychenko, M. V.

AU - Veliev, E. I.

PY - 2004

Y1 - 2004

N2 - The fractional curl operator and its possible applications in electromagnetic problems are discussed. Specifically, we consider radiation from sheet and line current distributions. Applying fractionalized curl operator we obtain new "fractional" fields and corresponding "fractional" currents, and analyze their physical meanings. "Fractional" field can be considered as "intermediate" one between the original and dual fields. It can be treated as an extension of conventional duality principle. Expressions for the "fractional" fields and relation between "fractional" currents and the original currents are presented.

AB - The fractional curl operator and its possible applications in electromagnetic problems are discussed. Specifically, we consider radiation from sheet and line current distributions. Applying fractionalized curl operator we obtain new "fractional" fields and corresponding "fractional" currents, and analyze their physical meanings. "Fractional" field can be considered as "intermediate" one between the original and dual fields. It can be treated as an extension of conventional duality principle. Expressions for the "fractional" fields and relation between "fractional" currents and the original currents are presented.

UR - http://www.scopus.com/inward/record.url?scp=13344280312&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:13344280312

SP - 231

EP - 233

T2 - Conference Proceedings - 10th International Conference on Mathematical Methods in Electromagnetic Theory, MMET'04

Y2 - 14 September 2004 through 17 September 2004

ER -

Fractional curl operator in radiation problems

Abstract

Conference

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