Analysis of a printed loop antenna using a Fourier series expansion for the loop current

The major problem with printed antennas has been dealing with the Green´s function which contains Sommerfeld-type integrals that require a careful numerical treatment. In the present work, the printed wire-loop antenna has been analyzed rigorously through Fourier series expansion of the current distribution. The procedure becomes remarkably simple because of the orthogonality of the expansion functions. A Green´s function technique is used in which a set of Pocklington-type integral equations (EFIE) is derived and transformed using the method of moments into a set of simultaneous linear equations for the unknown current coefficients. The input impedance is computed as a function of loop size with the dielectric constant as a parameter. The current distribution for the resonant loop case is also presented.<>