TY - GEN
T1 - On the use of Kontorovich-Lebedev transform in electromagnetic diffraction by an impedance cone
AU - Salem, Mohamed
AU - Kamel, Aladin Hassan
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/8
Y1 - 2012/8
N2 - We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to that of a KL spectral amplitude function satisfying a singular integral equation of the non-convolution type with a variable coefficient. The singularities of the spectral function are deduced and representations for the field at the tip of the cone and in the near and far field regions are given together with the conditions of validity of these representations. © 2012 IEEE.
AB - We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to that of a KL spectral amplitude function satisfying a singular integral equation of the non-convolution type with a variable coefficient. The singularities of the spectral function are deduced and representations for the field at the tip of the cone and in the near and far field regions are given together with the conditions of validity of these representations. © 2012 IEEE.
UR - http://hdl.handle.net/10754/564590
UR - http://ieeexplore.ieee.org/document/6331261/
UR - http://www.scopus.com/inward/record.url?scp=84870776365&partnerID=8YFLogxK
U2 - 10.1109/MMET.2012.6331261
DO - 10.1109/MMET.2012.6331261
M3 - Conference contribution
SN - 9781467344791
SP - 423
EP - 426
BT - 2012 International Conference on Mathematical Methods in Electromagnetic Theory
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -