The generalized Goodwin-Staton integral. / Jones, D. S.
In: Journal of Engineering Mathematics, Vol. 48, No. 3, 2005, p. 635-650.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The generalized Goodwin-Staton integral
A1 - Jones,D. S.
AU - Jones,D. S.
PY - 2005
Y1 - 2005
N2 - The surface impedance observed by a plane TE-wave impinging on a coated right-angled perfectly conducting wedge is derived for a high contrast dissipative coating. The impedance proves to be constant ove rmost of the surface of the coating. The value of the constant agrees with that obtained when the coating is placed on an infinite perfectly conducting plane. Near the edge of the coating, however, the impedance is not invariable. Both the magnitude and phase can deviate substantially from their asymptotic values; also they change with the angle of incidence of the irradiating wave. The region of variability depends on the amount of absorption but does not exceed a free-space wavelength for the cases considered.
AB - The surface impedance observed by a plane TE-wave impinging on a coated right-angled perfectly conducting wedge is derived for a high contrast dissipative coating. The impedance proves to be constant ove rmost of the surface of the coating. The value of the constant agrees with that obtained when the coating is placed on an infinite perfectly conducting plane. Near the edge of the coating, however, the impedance is not invariable. Both the magnitude and phase can deviate substantially from their asymptotic values; also they change with the angle of incidence of the irradiating wave. The region of variability depends on the amount of absorption but does not exceed a free-space wavelength for the cases considered.
KW - Primary 30E15
KW - Goodwin–Staton integral
KW - Asymptotics
KW - Stieltjes transform
U2 - 10.1017/S0013091504001087
DO - 10.1017/S0013091504001087
M1 - Article
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
SN - 0022-0833
IS - 3
VL - 48
SP - 635
EP - 650
ER -