TY - GEN
T1 - Closed-form expression of the Maliuzhinets function using tanh-sinh quadrature rule
AU - Aboserwal, Nafati A.
AU - Balanis, Constantine
PY - 2014/9/18
Y1 - 2014/9/18
N2 - The Maliuzhinets function (MF) has been used for the diffraction problem of waves by a wedge with different face impedances. For a wedge with arbitrary angle, the Maliuzhinets function is cumbersome to compute which is a major limitation to the use of rigorous theory of diffraction in electromagnetic scattering by a wedge with impedance faces. In this work, an exact closed-form solution is obtained to evaluate a known integral representation of the MF. The tanh - sinh quadrature rule is employed to successfully calculate the integral in the Maliuzhinets function, and the highly accurate numerical computation for Ψn(z) is obtained over the entire complex z plane and for all n. For special wedge angles, the exact formulation is numerically verified by comparing it with the results obtained by numerical integration of the Maliuzhinets function.
AB - The Maliuzhinets function (MF) has been used for the diffraction problem of waves by a wedge with different face impedances. For a wedge with arbitrary angle, the Maliuzhinets function is cumbersome to compute which is a major limitation to the use of rigorous theory of diffraction in electromagnetic scattering by a wedge with impedance faces. In this work, an exact closed-form solution is obtained to evaluate a known integral representation of the MF. The tanh - sinh quadrature rule is employed to successfully calculate the integral in the Maliuzhinets function, and the highly accurate numerical computation for Ψn(z) is obtained over the entire complex z plane and for all n. For special wedge angles, the exact formulation is numerically verified by comparing it with the results obtained by numerical integration of the Maliuzhinets function.
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U2 - 10.1109/APS.2014.6905347
DO - 10.1109/APS.2014.6905347
M3 - Conference contribution
AN - SCOPUS:84907880401
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 2040
EP - 2041
BT - 2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
Y2 - 6 July 2014 through 11 July 2014
ER -