Title :
Extension of a formula by Harrington which describes the electromagnetic field in a half-space
Author :
Ehrich, Matthias ; Zhu, Ning Yan
Author_Institution :
Allgemeine und Theor. Elektrotech., Univ. der Bundeswehr Hamburg, Germany
Abstract :
In his book “Time-Harmonic Electromagnetic Fields” Harrington (1991) presented a formula which allows the computation of the electric field strength E&oarr; in the source-free upper half-space z>0 when only the tangential component E&oarr; t on the plane z=0 is given. Different from other authors, we derive this formula from Green´s second identity using the technique of scalar Green´s function. As an extension also preset sources located at z>0 are considered. Furthermore, with the help of Fourier integrals, we apply Harrington´s formula to a domain bounded by two infinite parallel planes. This leads to an infinite system of images and shows the correctness of the formula
Keywords :
Green´s function methods; electromagnetic field theory; integration; Fourier integrals; Green second identity; Harrington formula; electromagnetic field; half-space; infinite parallel planes; infinite system of images; preset sources; scalar Green function; Books; Differential equations; Electromagnetic fields; Electromagnets; Green´s function methods; Integral equations; Kernel; Microwave Theory and Techniques Society; Permittivity; Propagation constant;
Conference_Titel :
Microwave and Optoelectronics Conference, 1997. Linking to the Next Century. Proceedings., 1997 SBMO/IEEE MTT-S International
Conference_Location :
Natal
Print_ISBN :
0-7803-4165-1
DOI :
10.1109/SBMOMO.1997.648824
