I. Introduction
IN recent years, there has been an explosive growth in the market demand for cellular communication systems. In many parts of the world, two operating systems are being simultaneously used for mobile communication, viz., the GSM and DCS 1800 systems, operating at 0.9 GHz and 1.8 GHz, respectively. Thus, it is highly desirable to design a built-in antenna for cellular telephone handsets so that it operates at two discrete frequency bands, and yet concurrently meets the stringent requirements on both the electrical performance and the physical dimensions of the allocated space for the antenna. Various types of the planar inverted-F antennas (PIFAs) have been proposed for this application, because they are compact in their dimensions, are easy to manufacture, and exhibit good electrical performance [1]–[5]. The primary design tool, employed in the previous works, is the finite-difference time-domain (FDTD) method, owing to its capability, flexi-bility, and accuracy in modeling a complex geometry [6].