The least-squares boundary residual method in the antenna analysis

Abstract

It has been shown that the Least squares boundary residual method can be very efficiently used in radiation problems. Magnetic vector potential is expressed as a linear combination of the wave equation eigenfunctions appropriate for arbitrary shaped antenna. The unknown expansion coefficients follow from minimization of the square error in the boundary condition fulfillment.The boundary condition had to be formulated in a form more suitable for numerical calculation. The method is applied to the axially symmetrical structures, such as symmetrical and asymmetrical thin wire dipoles and conical end of coaxial cable.