Fractional boundary conditions in plane wave diffraction on a strip

E. I. Veliev*, M. V. Ivakhnychenko, T. M. Ahmedov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


New fractional boundary conditions (FBC) on plane boundaries are introduced. FBC act as intermediate case between perfect electric conductor and perfect magnetic conductor. In certain sense FBC are analogue of commonly used impedance boundary conditions with pure imaginary impedance. The relation between fractional order and impedance is shown. Plane wave diffraction problem by a strip described by FBC is formulated and solved using new method which extends known methods. Numerical results for physical characteristics are presented. Analyzing the scattering properties of the fractional strip new features are observed. FBC has one important special case where the fractional order equals to 1/2. For this special case the solution of diffraction problem can be found in analytical form for any value of wavenumber. Also for small values of wavenumber monostotic radar cross section has new specific resonances which are absent for other values of fractional order.

Original languageEnglish
Pages (from-to)443-462
Number of pages20
JournalProgress in Electromagnetics Research
Publication statusPublished - 2008
Externally publishedYes


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