Title :
A complete asymptotic expansion of the Sommerfeld integral with a sharp error bound
Author :
Karawas, Georg K.
Author_Institution :
Antennas & Spectrum Anal., US Army CERDEC S&TCD, Fort Monmouth, NJ, USA
Abstract :
The familiar Sommerfeld integral can be expanded in an asymptotic series whose first term is related to the complementary error function. The remaining terms can be calculated efficiently through a recurrence relation. A bound for the error term of the asymptotic series is also established which shows that the present method is superior to the standard steepest descent method.
Keywords :
computational electromagnetics; electromagnetic field theory; gradient methods; Sommerfeld integral; asymptotic expansion; complementary error function; recurrence relation; sharp error bound; steepest descent method; Antennas; Approximation methods; Convergence; Earth; Integral equations; Polynomials; Wave functions; Asymptotic; Error Esimate; Expansion; Integral; Sommerfeld;
Conference_Titel :
Antennas and Propagation (APSURSI), 2011 IEEE International Symposium on
Conference_Location :
Spokane, WA
Print_ISBN :
978-1-4244-9562-7
DOI :
10.1109/APS.2011.5996932
