Title :
Efficient computation of the two-dimensional periodic Green´s function
Author :
Wallinga, Glen S. ; Rothwell, E.J. ; Chen, K.M. ; Nyquist, D.P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
An efficient scheme is introduced for computing the two-dimensional periodic Green´s function. By using Kummer´s method to accelerate the Hankel function series, accurate results can be rapidly obtained when the source and field points coincide in the vertical direction. Unlike with the integral acceleration form, convergence of the series is maintained when the source and field points differ horizontally by a complete period
Keywords :
Green´s function methods; convergence of numerical methods; electromagnetic fields; electromagnetic wave scattering; integral equations; series (mathematics); 2D periodic Green´s function; EM field scattering; Hankel function series; Kummer´s method; field points; horizontal direction; plane wave illumination; series convergence; source points; vertical direction; Acceleration; Convergence; Electromagnetic fields; Electromagnetic measurements; Electromagnetic scattering; Green´s function methods; Helium; Length measurement; Lighting; Periodic structures;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
