Abstract
Adaptive cross approximation technique was first developed by M. Bebendorf to reduce the
numerical complexity of both memory requirement and matrix-vector multiplication to O(N1.5). The biggest
advantage of this method is that it is independent of Green’s function. This paper presents a simple and
efficient multilevel algorithm of adaptive cross approximation technique. Through the application of this
technique on ground plane designs, we will show this technique is a very effective as well as reliable tool
for computer modeling of electromagnetic radiation and scattering problems.
Ground Plane Design
Figure 1 shows some snapshots of the ground plane along with the excitation waveguide. We excite one
port of the waveguide, and compute the antenna pattern. To demonstrate the effectiveness of the ground
plane design, we first compute the antenna pattern of the waveguide alone (Figure 2), as shown in figure 3. The backlobe
ripples are due to the edge diffraction of the flat plate. Figure 3 shows the antenna pattern of ground
plane mounting on the excitation waveguide. The diffraction phenomenon has been eliminated. For both
cases, good agreements between measurement and multilevel ACA results are observed.
Microstrip Array
