TY - GEN
T1 - Application of fractional boundary conditions in diffraction by plane screens
AU - Ivakhnychenko, M. V.
AU - Ahmedov, T. M.
AU - Veliev, E. I.
PY - 2010
Y1 - 2010
N2 - Problems of diffraction by plane screens described by fractional boundary conditions (FBC) are considered. FBC involves fractional derivative of tangential field components. FBC can be treated as intermediate case between well known boundary conditions for perfectly electric conductor (PEC) and perfectly magnetic conductor (PMC). A method to solve two-dimensional problems of scattering of E-polarized plane wave on a strip and half plane with FBC is proposed. The considered problems are reduced to coupled integral equations which are discretized using orthogonal polynomials. The method allows to obtain physical characteristics with any desired accuracy. One important feature of the considered integral equations is noted: these equations can be solved analytically for one special value of the fractional order equal to 0.5 for any frequency.
AB - Problems of diffraction by plane screens described by fractional boundary conditions (FBC) are considered. FBC involves fractional derivative of tangential field components. FBC can be treated as intermediate case between well known boundary conditions for perfectly electric conductor (PEC) and perfectly magnetic conductor (PMC). A method to solve two-dimensional problems of scattering of E-polarized plane wave on a strip and half plane with FBC is proposed. The considered problems are reduced to coupled integral equations which are discretized using orthogonal polynomials. The method allows to obtain physical characteristics with any desired accuracy. One important feature of the considered integral equations is noted: these equations can be solved analytically for one special value of the fractional order equal to 0.5 for any frequency.
UR - https://www.scopus.com/pages/publications/78649247896
U2 - 10.1109/MMET.2010.5611360
DO - 10.1109/MMET.2010.5611360
M3 - Conference contribution
AN - SCOPUS:78649247896
SN - 9781424488612
T3 - Mathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings
BT - 2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Conference Proceedings
T2 - 2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10
Y2 - 6 September 2010 through 8 September 2010
ER -