Title :
Adaptive evaluation of the Sommerfeld-type integral using the chirp z-transform
Author :
Li, Y.L. ; Liu, C.H. ; Franke, S.J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
An adaptive integration algorithm for the computation of the Sommerfeld-type integral has been developed. The algorithm allows the user to specify the precise location of the desired range sample points and change the integration contour. In addition, the algorithm can be used to recompute the Sommerfeld-type integral with different range resolutions without recomputing the integrand. It is also shown how the algorithm can be used to adaptively increase the number of integration points required to evaluate the Sommerfeld-type integral. Numerical results show that the algorithm is useful in many interesting areas.<>
Keywords :
Z transforms; integration; Sommerfeld-type integral; adaptive integration algorithm; chirp z-transform; numerical results; range resolutions; Acceleration; Antennas and propagation; Chirp; Electromagnetic propagation; Electromagnetic radiation; Electromagnetic scattering; Fast Fourier transforms; Geometry; Sampling methods;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
