%0 Journal Article %T A New Design of Compact Butler Matrix for ISM Applications %A Mbarek Traii %A Mourad Nedil %A Ali Gharsallah %A Tayeb A. Denidni %J International Journal of Microwave Science and Technology %D 2008 %I Hindawi Publishing Corporation %R 10.1155/2008/784526 %X A novel design of a compact 4¡Á4 Butler matrix is presented. All the design is based on the use of a Lange coupler with certain geometrical characteristics. This matrix occupies only 20% of the size of the conventional Butler matrix at the same frequency (80% of compactness). To examine the performance of the proposed matrix, the Lange coupler and the Butler matrix were simulated using Momentum (ADS) and IE3D softwares. Simulation results of magnitude and phase show a good performance. Furthermore, a four-antenna array was also designed at 2.45 GHz and then connected to the matrix to form a beamforming antenna system. As a result, four orthogonal beams at £¿45¡ã, £¿15¡ã, 15¡ã, and 45¡ã are produced. This matrix is suitable for wireless application at ISM band of 2.45 GHz. %U http://www.hindawi.com/journals/ijmst/2008/784526/